ALMOST AUTOMORPHIC SOLUTIONS OF VOLTERRA EQUATIONS ON TIME SCALES

被引：0

作者：

Lizama, Carlos ^{[1
]}

Mesquita, Jaqueline G. ^{[2
]}

Ponce, Rodrigo ^{[3
]}

Toon, Eduard ^{[4
]}

机构：

[1] Univ Santiago Chile, Fac Ciencia, Dept Matemat & Ciencia Comp, Casilla 307,Correo 2, Santiago, Chile

[2] Univ Brasilia, Dept Matemat, Campus Univ Darcy Ribeiro, BR-70910900 Brasilia, DF, Brazil

[3] Univ Talca, Inst Matemat & Fis, Casilla 747, Talca, Chile

[4] Univ Fed Juiz de Fora, Inst Ciencias Exatas, Dept Matemat, BR-36036900 Juiz De Fora, MG, Brazil

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2017年 / 30卷 / 9-10期

关键词：

LINEAR DIFFERENTIAL/DIFFERENCE EQUATIONS; ALMOST-PERIODIC SOLUTIONS; DYNAMIC EQUATIONS; INTEGRAL-EQUATION; NEURAL-NETWORKS; DELAYS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence and uniqueness of almost automorphic solutions for linear and semilinear nonconvolution Volterra equations on time scales is studied. The existence of asymptotically almost automorphic solutions is proved. Examples that illustrate our results are given.

引用

页码：667 / 694

页数：28

共 50 条

[1] Almost automorphic solutions of dynamic equations on time scales
Lizama, Carlos
Mesquita, Jaqueline G.
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2013, 265 (10) : 2267 - 2311
[2] ASYMPTOTICALLY ALMOST AUTOMORPHIC SOLUTIONS OF DYNAMIC EQUATIONS ON TIME SCALES
Lizama, Carlos
Mesquita, Jaqueline G.
[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2019, 54 (01) : 59 - 80
[3] On the existence of almost automorphic solutions of Volterra difference equations
Cuevas, Claudio
Henriquez, Hernan R.
Lizama, Carlos
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2012, 18 (11) : 1931 - 1946
[4] Almost automorphic solutions to abstract Volterra equations on the line
Lizama, Carlos
Ponce, Rodrigo
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (11) : 3805 - 3814
[5] Almost automorphic functions on time scales and almost automorphic solutions to shunting inhibitory cellular neural networks on time scales
Li, Yongkun
Li, Bing
Meng, Xiaofang
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (06): : 1190 - 1211
[6] Almost automorphic solutions of dynamic equations on time scales (vol 265, pg 2267, 2013)
Lizama, Carlos
Mesquita, Jaqueline G.
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2015, 269 (07) : 2302 - 2303
[7] ALMOST AUTOMORPHIC SOLUTIONS OF SECOND-ORDER EQUATIONS INVOLVING TIME SCALES WITH BOUNDARY CONDITIONS
Choquehuanca, Mario
Mesquita, Jaqueline G.
Pereira, Aldo
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (03) : 1055 - 1070
[8] S-Almost Automorphic Solutions for Impulsive Evolution Equations on Time Scales in Shift Operators
Wang, Chao
Sakthivel, Rathinasamy
N'Guerekata, Gaston M.
[J]. MATHEMATICS, 2020, 8 (06)
[9] Almost automorphic evolution equations with compact almost automorphic solutions
Es-Sebbar, Brahim
[J]. COMPTES RENDUS MATHEMATIQUE, 2016, 354 (11) : 1071 - 1077
[10] Weyl almost automorphic solutions for a class of Clifford-valued dynamic equations with delays on time scales
Li, Yongkun
Huang, Xiaoli
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (01) : 1227 - 1250

← 1 2 3 4 5 →