International Monthly Seminar on Time Scales Analysis
from
Saturday, September 20, 2025 (1:40 PM)
to
Saturday, May 23, 2026 (8:40 PM)
Monday, September 15, 2025
Tuesday, September 16, 2025
Wednesday, September 17, 2025
Thursday, September 18, 2025
Friday, September 19, 2025
Saturday, September 20, 2025
2:00 PM
Keynote Talk 1
-
Youssef Raffoul
(
Department of Mathematics, University of Dayton
)
Keynote Talk 1
Youssef Raffoul
(
Department of Mathematics, University of Dayton
)
2:00 PM - 3:00 PM
Delta Dynamic Equations on Time Scales
3:00 PM
Discussion
Discussion
3:00 PM - 3:15 PM
Sunday, September 21, 2025
Monday, September 22, 2025
Tuesday, September 23, 2025
Wednesday, September 24, 2025
Thursday, September 25, 2025
Friday, September 26, 2025
Saturday, September 27, 2025
Sunday, September 28, 2025
Monday, September 29, 2025
Tuesday, September 30, 2025
Wednesday, October 1, 2025
Thursday, October 2, 2025
Friday, October 3, 2025
Saturday, October 4, 2025
Sunday, October 5, 2025
Monday, October 6, 2025
Tuesday, October 7, 2025
Wednesday, October 8, 2025
Thursday, October 9, 2025
Friday, October 10, 2025
Saturday, October 11, 2025
Sunday, October 12, 2025
Monday, October 13, 2025
Tuesday, October 14, 2025
Wednesday, October 15, 2025
Thursday, October 16, 2025
Friday, October 17, 2025
Saturday, October 18, 2025
Sunday, October 19, 2025
Monday, October 20, 2025
Tuesday, October 21, 2025
Wednesday, October 22, 2025
Thursday, October 23, 2025
Friday, October 24, 2025
Saturday, October 25, 2025
2:00 PM
Wirtinger-Type Dynamic Inequalities: Rectifying Reformation and Improvement
-
Sanket Tikare
(
Ramniranjan Jhunjhunwala College
)
Wirtinger-Type Dynamic Inequalities: Rectifying Reformation and Improvement
Sanket Tikare
(
Ramniranjan Jhunjhunwala College
)
2:00 PM - 2:30 PM
In this talk, we shall investigate the validity of the Wirtinger inequality within the framework of time scales, a unified approach to continuous and discrete analysis. By constructing explicit counterexamples, we demonstrate that the classical Wirtinger inequality does not hold universally across all time scales. Motivated by this finding, we propose a reformulation of the inequality by modifying its underlying conditions. Additionally, we establish several new improved Wirtinger-like inequalities, extending the theoretical foundation of the inequality on time scales.
2:30 PM
Discussion
Discussion
2:30 PM - 2:40 PM
2:40 PM
Product of Toeplitz Matrix And kth-order Slant Toeplitz Matrix.
-
SAID BENSLIMAN
(
Université Amar Telidji -Laghouat
)
Product of Toeplitz Matrix And kth-order Slant Toeplitz Matrix.
SAID BENSLIMAN
(
Université Amar Telidji -Laghouat
)
2:40 PM - 3:10 PM
1. INTRODUCTION 2. PRELIMINARIES 3.PRODUCT OF TOEPLITZ MATRIX AND kTH-ORDER SLANT TOEPLITZ MATRIX.
3:10 PM
Discussion
Discussion
3:10 PM - 3:20 PM
Sunday, October 26, 2025
Monday, October 27, 2025
Tuesday, October 28, 2025
Wednesday, October 29, 2025
Thursday, October 30, 2025
Friday, October 31, 2025
Saturday, November 1, 2025
Sunday, November 2, 2025
Monday, November 3, 2025
Tuesday, November 4, 2025
Wednesday, November 5, 2025
Thursday, November 6, 2025
Friday, November 7, 2025
Saturday, November 8, 2025
Sunday, November 9, 2025
Monday, November 10, 2025
Tuesday, November 11, 2025
Wednesday, November 12, 2025
Thursday, November 13, 2025
Friday, November 14, 2025
Saturday, November 15, 2025
Sunday, November 16, 2025
Monday, November 17, 2025
Tuesday, November 18, 2025
Wednesday, November 19, 2025
Thursday, November 20, 2025
Friday, November 21, 2025
Saturday, November 22, 2025
2:00 PM
Stability analysis of Wentzell problem
-
Hicham KASRI
(
USTHB
)
Stability analysis of Wentzell problem
Hicham KASRI
(
USTHB
)
2:00 PM - 2:30 PM
In this work, the uniform stabilization of certain hyperbolic systems with Wentzell boundary conditions is considered, and a uniform energy decay rate for the problem is established, taking into account both internal localized damping and boundary feedback. The exponential stabilization is attained by constructing a new multiplier and using multiplier methods.
2:30 PM
Discussion
Discussion
2:30 PM - 2:40 PM
2:40 PM
Existence and decay rate of global solution for the second-order evolution equation with memory, non-linear delay term and time varying weight
-
Khedidja Abidi
(
Universty Laghouat
)
Existence and decay rate of global solution for the second-order evolution equation with memory, non-linear delay term and time varying weight
Khedidja Abidi
(
Universty Laghouat
)
2:40 PM - 3:10 PM
In this work, we investigate the existence and decay properties of global solutions for a class of second-order evolution equations incorporating memory effects, a nonlinear delay term, and a time-varying weight function. The model reflects realistic dynamics observed in viscoelastic and thermoelastic systems with hereditary characteristics and delayed feedback. Using appropriate energy methods and the construction of a Lyapunov functional, we establish the global existence of solutions under suitable assumptions on the kernel, delay, and nonlinearity. Furthermore, we derive general decay estimates for the energy, which unify and extend various known exponential and polynomial decay results. These findings contribute to the understanding of long-term behavior in complex dynamical systems with combined memory and delay effects.
3:10 PM
Discussion
Discussion
3:10 PM - 3:20 PM
Sunday, November 23, 2025
Monday, November 24, 2025
Tuesday, November 25, 2025
Wednesday, November 26, 2025
Thursday, November 27, 2025
Friday, November 28, 2025
Saturday, November 29, 2025
Sunday, November 30, 2025
Monday, December 1, 2025
Tuesday, December 2, 2025
Wednesday, December 3, 2025
Thursday, December 4, 2025
Friday, December 5, 2025
Saturday, December 6, 2025
Sunday, December 7, 2025
Monday, December 8, 2025
Tuesday, December 9, 2025
Wednesday, December 10, 2025
Thursday, December 11, 2025
Friday, December 12, 2025
Saturday, December 13, 2025
2:00 PM
Existence of Solutions for a Class of differential inclusions Governed by a Sweeping Process
-
Boulkemh Loubna
(
Mohamed Seddik Benyahia -University of Jijel, Algeria,
)
Existence of Solutions for a Class of differential inclusions Governed by a Sweeping Process
Boulkemh Loubna
(
Mohamed Seddik Benyahia -University of Jijel, Algeria,
)
2:00 PM - 2:30 PM
In this work, we introduce a perturbed non-convex sweeping process with a class of subsmooth moving sets depending on the time and the state. In the first result we study the existence of solution and we present some topological properties of the attainable set, the perturbation considered here is an upper semi-continuous set-valued mapping with nonempty closed convex values unnecessarily bounded. In the second result we prove the existence to the minimal time problem and we give a description to the attainable set of control systems.
2:30 PM
Discussion
Discussion
2:30 PM - 2:40 PM
2:40 PM
Some existence results to weakly coupled system k semi-linear fractional σ−evolution models
-
saiah seyyid ali
(
Hassiba Ben boulali University
)
Some existence results to weakly coupled system k semi-linear fractional σ−evolution models
saiah seyyid ali
(
Hassiba Ben boulali University
)
2:40 PM - 3:10 PM
In this conversation, examines the long-term existence of solutions for a system of weakly coupled equations involving fractional evolution and various nonlinearities. The main focus is on analyzing the relationship between the regularity of initial data, memory terms, and the allowable range of exponents in a specific equation. Using L^p–L^q estimates for solutions of associated linear fractional $σ$-evolution equations with vanishing right-hand sides, along with a fixed-point method, the study establishes the existence of small-data solutions with in certain admissible exponent ranges.
3:10 PM
Discussion
Discussion
3:10 PM - 3:20 PM
Sunday, December 14, 2025
Monday, December 15, 2025
Tuesday, December 16, 2025
Wednesday, December 17, 2025
Thursday, December 18, 2025
Friday, December 19, 2025
Saturday, December 20, 2025
Sunday, December 21, 2025
Monday, December 22, 2025
Tuesday, December 23, 2025
Wednesday, December 24, 2025
Thursday, December 25, 2025
Friday, December 26, 2025
Saturday, December 27, 2025
Sunday, December 28, 2025
Monday, December 29, 2025
Tuesday, December 30, 2025
Wednesday, December 31, 2025
Thursday, January 1, 2026
Friday, January 2, 2026
Saturday, January 3, 2026
Sunday, January 4, 2026
Monday, January 5, 2026
Tuesday, January 6, 2026
Wednesday, January 7, 2026
Thursday, January 8, 2026
Friday, January 9, 2026
Saturday, January 10, 2026
Sunday, January 11, 2026
Monday, January 12, 2026
Tuesday, January 13, 2026
Wednesday, January 14, 2026
Thursday, January 15, 2026
Friday, January 16, 2026
Saturday, January 17, 2026
Sunday, January 18, 2026
Monday, January 19, 2026
Tuesday, January 20, 2026
Wednesday, January 21, 2026
Thursday, January 22, 2026
Friday, January 23, 2026
Saturday, January 24, 2026
2:00 PM
Some classes of p-summing type operators
-
Rachid Yahi
(
University of Msila
)
Some classes of p-summing type operators
Rachid Yahi
(
University of Msila
)
2:00 PM - 2:30 PM
In this talk we study the classes of bounded linear operators $\Phi :\mathcal{L}\left( X,Y\right) \rightarrow \mathcal{L}\left( Z,W\right)$ such that $\left( T_{n}\right) \rightarrow \left( \Phi \left( T_{n}\right) \right) $ maps $l_{p}^{s}\left( X,Y\right) $ into $l_{p}\left( Z,W\right) $, $l_{p}^{s}\left( X,Y\right) $ into $l_{p}^{s}\left( Z,W\right) $ and $% l_{p}^{w}\left( X,Y\right) $ into $l_{p}^{w}\left( Z,W\right) $. The Pietsch-type domination of $(l_{p}^{s},l_{p}) $-summing linear operators is also given . \\ \vspace{0.3cm}\\ {\textbf {Keywords:}}$p-summing$ operator, Finite rank operator, ideal property of $p-suming$ operators , Linear operator ideals,$(\ell^s_p,\ell_p)$-summing operators\\ {\bf {2020 Mathematics Subject Classification:}} Primary 47A35, 60Fxx, 60G10.%----------------------- \vspace{0.5cm}
2:30 PM
Discussion
Discussion
2:30 PM - 2:40 PM
2:40 PM
Non-trivial solutions of a non-local elliptic equation with a critical Sobolev exponent and a singular term
-
Abdelaziz Bennour
(
University of Oran 1
)
Non-trivial solutions of a non-local elliptic equation with a critical Sobolev exponent and a singular term
Abdelaziz Bennour
(
University of Oran 1
)
2:40 PM - 3:10 PM
The paper deals with the following fractional Hardy-Sobolev equation with nonhomogeneous term \begin{equation} %\label{eq1} \begin{cases} {(-\Delta)}^{s}u-\mu \frac{u}{|x|^{2s}}=|u|^{2_{s}^{*}-2}u+\lambda \frac{u}{|x|^{2s-\alpha}}+f(x),&x\in \Omega,\\ u=0&x\in \partial\Omega, \end{cases} \end{equation} being $0<s<1,$ where $\Omega$ is a bounded domain in $\mathbb{R}^{N},\;(N>2s)$ containing the origin $0$ in its interior, $0\leq \mu <\overline{\mu_{s}}:=2^{2s}\frac{\Gamma^{2}(\frac{N+2s}{4})}{\Gamma^{2}(\frac{N-2s}{4})}$, $\lambda$ is a positive parameter, $0<\alpha<2s$, $2_{s}^{*}=\frac{2N}{N-2s}$ is the fractional critical Hardy-Sobolev exponent. The fractional Laplacian $(-\Delta)^{s}$ is defined by \begin{equation*} -2(-\Delta)^{s}u(x)=C_{N,s}\underset{\mathbb{R}^{N}}{\int}\dfrac{u(x+y)+u(x-y)-2u(x)}{|x-y|^{N+2s}}dy \end{equation*} where $$C_{N,s}=\dfrac{4^{s}\Gamma(N\setminus2+s)}{\pi^{N\setminus2}|\Gamma(-s)|}.$$ $\Gamma$ is the Gamma function, $f$ is a given bounded measurable function. by virtue of Ekeland’s Variational Principle and the Mountain Pass Lemma and for which we consider the following hypothesis \begin{equation*} \inf\left\lbrace \gamma_{N,s}(T(u))^{\frac{N+2s}{4s}}-\underset{\Omega}{\int}f u dx:\;u\in X,\underset{\Omega}{\int}|u|^{2_{s}^{*}} dx=1\right\rbrace>0.\;\;(\mathcal{F}) %\label{ast} \end{equation*} Where $X$ is a Hilbert space defined as $$X=\lbrace u\in H^{2s}(\mathbb{R}^{N}):u=0\;\text{in}\;\mathbb{R}^{N}\setminus\Omega\rbrace,$$ where $H^{2s}(\mathbb{R}^{N})$ the usual fractional Sobolev space, $$\gamma_{N,s}=\frac{4s}{N-2s}(\frac{N-2s}{N+2s})^{\frac{N+2s}{4s}}$$ and $$T(u)=C_{N,s}\underset{\mathbb{R}^{N}}{\int}\underset{\mathbb{R}^{N}}{\int}\dfrac{|u(x)-u(y)|^{2}}{|x-y|^{N+2s}}dxdy-\mu \underset{\Omega}{\int}\frac{u^{2}}{|x|^{2s}}dx-\lambda\underset{\Omega}{\int}\frac{u^{2}}{|x|^{2s-\alpha}}dx.$$\\ Moreover, the following eigenvalue problem with Hardy potentials and singular coefficient \begin{equation*} \begin{cases} {(-\Delta)}^{s}u-\mu \frac{u}{|x|^{2s}}=\lambda \frac{u}{|x|^{2s-\alpha}}& x\in\Omega, \\ u=0 & x\in\partial \Omega, \end{cases} \end{equation*} where $0 < \alpha <2s$, $\lambda \in \mathbb{R}$, has the first eigenvalue $\lambda_{1}$ given by: \begin{equation*} \lambda_{1}= \underset{u\in X\setminus\lbrace0\rbrace}{\inf}\dfrac{C_{N,s}\underset{\mathbb{R}^{N}}{\int}\underset{\mathbb{R}^{N}}{\int}\dfrac{|u(x)-u(y)|^{2}}{|x-y|^{N+2s}}dxdy-\mu \underset{\Omega}{\int}\frac{u^{2}}{|x|^{2s}}dx}{\underset{\Omega}{\int}\frac{u^{2}}{|x|^{2s-\alpha}}dx}. \end{equation*} We get the following results: \\ Let $0<\mu<\overline{\mu_{s}}$, $0<\lambda<\lambda_{1}$ and $f$ is a bounded measurable function satisfying the condition $(\mathcal{F})$, then the problem has at least two nontrivial solutions, if $0<\alpha<2\beta^{+}(\mu)+2s-N.$ \\ Where $\beta^{+}(\mu)$ comes through the processes and techniques of calculations. %\label{th}
3:10 PM
Discussion
Discussion
3:10 PM - 3:20 PM
Sunday, January 25, 2026
Monday, January 26, 2026
Tuesday, January 27, 2026
Wednesday, January 28, 2026
Thursday, January 29, 2026
Friday, January 30, 2026
Saturday, January 31, 2026
Sunday, February 1, 2026
Monday, February 2, 2026
Tuesday, February 3, 2026
Wednesday, February 4, 2026
Thursday, February 5, 2026
Friday, February 6, 2026
Saturday, February 7, 2026
Sunday, February 8, 2026
Monday, February 9, 2026
Tuesday, February 10, 2026
Wednesday, February 11, 2026
Thursday, February 12, 2026
Friday, February 13, 2026
Saturday, February 14, 2026
Sunday, February 15, 2026
Monday, February 16, 2026
Tuesday, February 17, 2026
Wednesday, February 18, 2026
Thursday, February 19, 2026
Friday, February 20, 2026
Saturday, February 21, 2026
2:00 PM
On the Local Stationarity Approximation in Spatio-Temporal GARCH Modeling
-
Atika Aouri
(
Abdelhafid Boussouf University Center, Mila, Algeria
)
On the Local Stationarity Approximation in Spatio-Temporal GARCH Modeling
Atika Aouri
(
Abdelhafid Boussouf University Center, Mila, Algeria
)
2:00 PM - 2:30 PM
In this work, we investigate the approximation of spatially nonstationary spatio-temporal GARCH (ST-GARCH) processes by spatially stationary counterparts at fixed locations. This approach enables a localized analysis of complex spatio-temporal volatility structures. Building upon the model's recursive formulation, we establish that the ST-GARCH process can be represented as a sum of random matrix products, allowing us to derive conditions under which the process admits a Lipschitz continuous approximation. We prove that, under mild regularity and continuity assumptions, the nonstationary process \(X^2_t(s)\) can be closely approximated by a spatially stationary process \(X^2_{t,s_0}(s)\) at a fixed point \(s_0\), with a convergence rate governed by the spatial distance \(\|s - s_0\|_\infty\). Furthermore, using a Taylor expansion and a derivative-based construction, we refine this approximation by including the first-order spatial derivative, yielding an improved representation as a linear combination of two spatially stationary processes. Our theoretical findings lay the groundwork for practical localized modeling and inference in real-world applications involving heterogeneous spatio-temporal data.
2:30 PM
Discussion
Discussion
2:30 PM - 2:40 PM
2:40 PM
Enhanced Maximum Lq-Likelihood Estimation for the Tail Index of Heavy Tailed Distributions: A New Approach for Small Samples
-
Nesrine IDIOU
(
University of Constantine 3, Salah Boubnider
)
Enhanced Maximum Lq-Likelihood Estimation for the Tail Index of Heavy Tailed Distributions: A New Approach for Small Samples
Nesrine IDIOU
(
University of Constantine 3, Salah Boubnider
)
2:40 PM - 3:10 PM
In extreme value theory (EVT), estimating the tail index of heavy-tailed distributions is crucial for understanding rare and extreme events. Traditional estimators such as the Hill and Maximum Likelihood Estimators (MLE) perform well with large samples but struggle with small sample sizes due to increased bias and variance. In this paper, we introduce a novel estimation technique the Maximum Lq-Likelihood Estimator (MLqE), which incorporates a distortion parameter q, making it more robust to extreme observations and more accurate in small-sample scenarios. We demonstrate that the MLqE is consistent and asymptotically normal, outperforming the classical MLE in terms of mean squared error in moderate and small sample sizes. Moreover, we present simulation results that highlight the superior performance of the MLqE, particularly when comparing it to the MLE in tail index estimation. This method not only offers a significant improvement in the accuracy of heavy-tailed distribution parameter estimation but also provides a versatile tool for various real-world applications, including finance, hydrology, and risk management.
3:10 PM
Discussion
Discussion
3:10 PM - 3:20 PM
Sunday, February 22, 2026
Monday, February 23, 2026
Tuesday, February 24, 2026
Wednesday, February 25, 2026
Thursday, February 26, 2026
Friday, February 27, 2026
Saturday, February 28, 2026
Sunday, March 1, 2026
Monday, March 2, 2026
Tuesday, March 3, 2026
Wednesday, March 4, 2026
Thursday, March 5, 2026
Friday, March 6, 2026
Saturday, March 7, 2026
Sunday, March 8, 2026
Monday, March 9, 2026
Tuesday, March 10, 2026
Wednesday, March 11, 2026
Thursday, March 12, 2026
Friday, March 13, 2026
Saturday, March 14, 2026
Sunday, March 15, 2026
Monday, March 16, 2026
Tuesday, March 17, 2026
Wednesday, March 18, 2026
Thursday, March 19, 2026
Friday, March 20, 2026
Saturday, March 21, 2026
Sunday, March 22, 2026
Monday, March 23, 2026
Tuesday, March 24, 2026
Wednesday, March 25, 2026
Thursday, March 26, 2026
Friday, March 27, 2026
Saturday, March 28, 2026
2:00 PM
Keynote Talk 2
-
Billur Kaymakcalan
Zeynep Kayar
Keynote Talk 2
Billur Kaymakcalan
Zeynep Kayar
2:00 PM - 3:00 PM
3:00 PM
Discussion
Discussion
3:00 PM - 3:15 PM
Sunday, March 29, 2026
Monday, March 30, 2026
Tuesday, March 31, 2026
Wednesday, April 1, 2026
Thursday, April 2, 2026
Friday, April 3, 2026
Saturday, April 4, 2026
Sunday, April 5, 2026
Monday, April 6, 2026
Tuesday, April 7, 2026
Wednesday, April 8, 2026
Thursday, April 9, 2026
Friday, April 10, 2026
Saturday, April 11, 2026
Sunday, April 12, 2026
Monday, April 13, 2026
Tuesday, April 14, 2026
Wednesday, April 15, 2026
Thursday, April 16, 2026
Friday, April 17, 2026
Saturday, April 18, 2026
Sunday, April 19, 2026
Monday, April 20, 2026
Tuesday, April 21, 2026
Wednesday, April 22, 2026
Thursday, April 23, 2026
Friday, April 24, 2026
Saturday, April 25, 2026
2:00 PM
Cohen M-strictly Lipschitz $p$-nuclear operators
-
Maatougui Belaala
Cohen M-strictly Lipschitz $p$-nuclear operators
Maatougui Belaala
2:00 PM - 2:30 PM
Cohen has introduced the notion of strongly $p$-summing and $p$% -nuclear for linear operators. Many authors have considered these notions by generalizing in several directions, namely the multilinear, sublinear and Lipschitz cases. In the same circle of ideas, we will make an extension of these notions in order to produce the class of Cohen M-strictly Lipschitz $p$-nuclear operators.\newline \\ \vspace{0.3cm}\\ {\textbf {Keywords:}} Lipschitz $p$-summing operators, MS-Lipschitz $p$-summing operators, MS-Cohen Lipschitz $p$-summing\\ {\bf {2020 Mathematics Subject Classification:}} Primary 47A35, 60Fxx, 60G10.%-----------------------
2:30 PM
Discussion
Discussion
2:30 PM - 2:40 PM
2:40 PM
Fractional Euler-Boussinesq system with Yudovich data
-
Oussama Melkemi
Fractional Euler-Boussinesq system with Yudovich data
Oussama Melkemi
2:40 PM - 3:10 PM
The present presentation investigates the two-dimensional Euler-Boussinesq system with critical fractional dissipation and a general source term, where we assume that the initial data are of Yudovich type.
3:10 PM
Discussion
Discussion
3:10 PM - 3:20 PM
Sunday, April 26, 2026
Monday, April 27, 2026
Tuesday, April 28, 2026
Wednesday, April 29, 2026
Thursday, April 30, 2026
Friday, May 1, 2026
Saturday, May 2, 2026
Sunday, May 3, 2026
Monday, May 4, 2026
Tuesday, May 5, 2026
Wednesday, May 6, 2026
Thursday, May 7, 2026
Friday, May 8, 2026
Saturday, May 9, 2026
Sunday, May 10, 2026
Monday, May 11, 2026
Tuesday, May 12, 2026
Wednesday, May 13, 2026
Thursday, May 14, 2026
Friday, May 15, 2026
Saturday, May 16, 2026
Sunday, May 17, 2026
Monday, May 18, 2026
Tuesday, May 19, 2026
Wednesday, May 20, 2026
Thursday, May 21, 2026
Friday, May 22, 2026
Saturday, May 23, 2026
2:00 PM
Discrete and continuous logistic models with conditional Hyers–Ulam stability
-
Douglas Anderson
(
Concordia College, Moorhead, MN 56562 USA
)
Discrete and continuous logistic models with conditional Hyers–Ulam stability
Douglas Anderson
(
Concordia College, Moorhead, MN 56562 USA
)
2:00 PM - 2:30 PM
This talk investigates the conditional Hyers–Ulam stability of first-order nonlinear logistic models, both continuous and discrete. Identifying bounds on both the relative size of the perturbation and the initial population size is an important issue for nonlinear Hyers–Ulam stability analysis. Utilizing a novel approach, for h-difference equations we derive explicit expressions for the optimal lower bound of the initial value region and the upper bound of the perturbation amplitude, surpassing the precision of previous research. Furthermore, we obtain a sharper Hyers–Ulam stability constant, which quantifies the error between true and approximate solutions, thereby demonstrating enhanced stability. The Hyers–Ulam stability constant is proven to be in terms of the step-size h and the growth rate, but independent of the carrying capacity. Detailed examples are provided illustrating the applicability and sharpness of our results on conditional stability.
2:30 PM
Discussion
Discussion
2:30 PM - 2:40 PM
2:40 PM
Short Time Scale in Autoregressive process
-
Fatna Bensaber
(
Mathematic Departement, Faculty of sciences, University of Tlemcen, Algeria
)
Short Time Scale in Autoregressive process
Fatna Bensaber
(
Mathematic Departement, Faculty of sciences, University of Tlemcen, Algeria
)
2:40 PM - 3:10 PM
Autoregressive (AR) models are fundamental tools in time series analysis, capturing temporal dependencies through lagged observations. While traditional approaches often focus on long-term dynamics, many real-world phenomena—such as high-frequency financial data, climate fluctuations, and energy demand—exhibit behaviors that are best understood at shorter time scales and are often influenced by seasonal effects. In this work, we introduce and study the Short Time Scale Autoregressive (STAR) process, designed to model short-range temporal correlations with particular attention to rapidly evolving structures in the data while explicitly incorporating seasonal components.
3:10 PM
Discussion
Discussion
3:10 PM - 3:20 PM