Pseudo Asymptotic Behavior of Mild Solution for Nonautonomous Integrodifferential Equations with Nondense Domain

Measure Theory ◽

Integrodifferential Equations ◽

Almost Periodic ◽

By the weighted ergodic function based on the measure theory, we study pseudo asymptotic behavior of mild solution for nonautonomous integrodifferential equations with nondense domain. The existence and uniqueness ofμ-pseudo antiperiodic (μ-pseudo periodic,μ-pseudo almost periodic, andμ-pseudo automorphic) solution are investigated. Some interesting examples are presented to illustrate the main findings.

The analysis of some special results of a Lasota–Wazewska model with mixed variable delays

Advances in Difference Equations ◽

10.1186/s13662-021-03403-y ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Ramazan Yazgan ◽

Osman Tunç

Keyword(s):

Fixed Point ◽

Fixed Point Theorem ◽

Banach Fixed Point Theorem ◽

Time Varying ◽

Differential Inequalities ◽

Almost Periodic ◽

Variable Delays ◽

Pseudo Almost Periodic ◽

Mixed Variable

AbstractThis study is about getting some conditions that guarantee the existence and uniqueness of the weighted pseudo almost periodic (WPAP) solutions of a Lasota–Wazewska model with time-varying delays. Some adequate conditions have been obtained for the existence and uniqueness of the WPAP solutions of the Lasota–Wazewska model, which we dealt with using some differential inequalities, the WPAP theory, and the Banach fixed point theorem. Besides, an application is given to demonstrate the accuracy of the conditions of our main results.

Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations

Advances in Difference Equations ◽

10.1186/1687-1847-2010-158789 ◽

2010 ◽

Vol 2010 (1) ◽

pp. 158789 ◽

Cited By ~ 1

Author(s):

Fang Li ◽

GastonM N'Guérékata

Keyword(s):

Mild Solution ◽

Integrodifferential Equations

Pseudo Almost Periodic Mild Solution of Nonautonomous Impulsive Integro-Differential Equations

Mediterranean Journal of Mathematics ◽

10.1007/s00009-015-0532-4 ◽

2015 ◽

Vol 13 (3) ◽

pp. 1065-1086 ◽

Cited By ~ 15

Author(s):

Zhinan Xia

Keyword(s):

Differential Equations ◽

Mild Solution ◽

Almost Periodic ◽

Pseudo almost periodic solutions of infinite class under the light of measure theory and applications

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7051 ◽

2020 ◽

Author(s):

Issa Zabsonre ◽

Djokata Votsia

Keyword(s):

Periodic Solutions ◽

Measure Theory ◽

Almost Periodic ◽

Infinite Class ◽

Existence and uniqueness of pseudo-almost periodic solutions to some classes of partial evolution equations

Nonlinear Analysis ◽

10.1016/j.na.2005.11.031 ◽

2007 ◽

Vol 66 (2) ◽

pp. 384-395 ◽

Cited By ~ 25

Author(s):

Toka Diagana

Keyword(s):

Periodic Solutions ◽

Evolution Equations ◽

Almost Periodic ◽

Existence and uniqueness of pseudo almost periodic solutions to some abstract partial neutral functional–differential equations and applications

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.04.043 ◽

2007 ◽

Vol 327 (2) ◽

pp. 776-791 ◽

Cited By ~ 40

Author(s):

Toka Diagana ◽

Eduardo M. Hernández

Keyword(s):

Differential Equations ◽

Periodic Solutions ◽

Functional Differential Equations ◽

Almost Periodic ◽

Neutral Functional Differential Equations ◽

Functional Differential ◽

Existence and Uniqueness of Pseudo Almost-Periodic Solutions of Recurrent Neural Networks With Time-Varying Coefficients and Mixed Delays

IEEE Transactions on Neural Networks and Learning Systems ◽

10.1109/tnnls.2011.2178444 ◽

2012 ◽

Vol 23 (1) ◽

pp. 109-118 ◽

Cited By ~ 59

Author(s):

B. Ammar ◽

F. Cherif ◽

A. M. Alimi

Keyword(s):

Recurrent Neural Networks ◽

Mixed Delays ◽

Time Varying ◽

Almost Periodic ◽

Varying Coefficients ◽

Time Varying Coefficients ◽

Pseudo Almost Periodic Sequence Solutions of Discrete Time Cellular Neural Networks

Nonlinear Analysis Modelling and Control ◽

10.15388/na.2009.14.3.14496 ◽

2009 ◽

Vol 14 (3) ◽

pp. 283-301 ◽

Cited By ~ 11

Author(s):

S. Abbas

Keyword(s):

Neural Network ◽

Neural Networks ◽

Discrete Time ◽

Global Attractivity ◽

Sufficient Conditions ◽

Cellular Neural Networks ◽

Periodic Sequence ◽

Almost Periodic ◽

In this paper we discuss the existence and uniqueness of a k-pseudo almost periodic sequence solutions of a discrete time neural network. We give several sufficient conditions for the exponential and global attractivity of the solution.