Piecewise asymptotically almost periodic solution of neutral Volterra integro-differential equations with impulsive effects

被引：2

作者：

Xia, Zhinan ^{[1
]}

机构：

[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou, Zhejiang, Peoples R China

来源：

TURKISH JOURNAL OF MATHEMATICS | 2017年 / 41卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Neutral Volterra integro-differential equations; impulsive effects; asymptotically almost periodicity; Krasnoselskii's fixed point theorem; DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.3906/mat-1408-11

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the existence and uniqueness of a piecewise asymptotically almost periodic mild solution to nonautonomous neutral Volterra integro-differential equations with impulsive effects in Banach space. The working tools are based on the Krasnoselskii's fixed point theorem and semigroup theory. In order to illustrate our main results, we study the piecewise asymptotically almost periodic solution of the impulsive partial differential equations with Dirichlet conditions.

引用

页码：1656 / 1672

页数：17

共 50 条

[21] Numerical solution of Volterra integro-differential equations
Vanani, S. Karimi
Aminataei, A.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2011, 13 (04) : 654 - 662
[22] Approximations solution for Volterra integro-differential equations
Nadir, Mohamed Raid
Jawahdou, Adel
REVISTA EDUCACION EN INGENIERIA, 2025, 20 (39):
[23] Stepanov Almost Periodic Type Functions and Applications to Abstract Impulsive Volterra Integro-Differential Inclusions
Kostic, Marko
Du, Wei-Shih
FRACTAL AND FRACTIONAL, 2023, 7 (10)
[24] Bounbedness and periodic solutions of Volterra integro-differential equations
Furumochi, T
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS AND COMPUTATIONAL SIMULATIONS, 2000, : 85 - 94
[25] Stability of piecewise polynomial collocation for Volterra integro-differential equations
Oja, P.
Tarang, M.
Mathematical Modelling and Analysis, 2001, 6 (02) : 310 - 320
[26] Almost Periodic Solutions of Impulsive Integro-Differential Neural Networks
Stamov, Gani Tr.
Alzabut, Jehad O.
MATHEMATICAL MODELLING AND ANALYSIS, 2010, 15 (04) : 505 - 516
[27] PERIODIC AND ASYMPTOTICALLY PERIODIC SOLUTIONS FOR NEUTRAL NONLINEAR COUPLED VOLTERRA INTEGRO-DIFFERENTIAL SYSTEMS WITH TWO VARIABLE DELAYS
Mansouri, Bouzid
Ardjouni, Abdelouaheb
Djoudi, Ahcene
BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2021, 16 (04): : 339 - 366
[28] Existence of asymptotically almost automorphic solutions to some abstract partial neutral integro-differential equations
Diagana, Toka
Hernandez M, Eduardo
dos Santos, Jose P. C.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) : 248 - 257
[29] Numerical solution for Fredholm and Volterra integro-differential equations
Nadir, Mohamed Raid
Jawahdow, Adel
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2025, 64 : 1 - 11
[30] Asymptotically periodic solutions of semilinear fractional integro-differential equations
Xia, Zhinan
ADVANCES IN DIFFERENCE EQUATIONS, 2014,

← 1 2 3 4 5 →