Semilinear functional difference equations with infinite delay

被引:19
作者
Agarwal, Ravi P. [1 ]
Cuevas, Claudio [2 ]
Frasson, Miguel V. S. [3 ]
机构
[1] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA
[2] Univ Fed Pernambuco, Dept Matemat, BR-50540740 Recife, PE, Brazil
[3] Univ Sao Paulo, ICMC, Dept Matemat Aplicada & Estat, BR-13566590 Sao Carlos, SP, Brazil
关键词
Functional difference equations; Infinite delay; Boundedness; Asymptotic behavior; Volterra difference equations; ALMOST-PERIODIC SOLUTIONS; MAXIMAL REGULARITY; ASYMPTOTIC-BEHAVIOR; DISCRETE; CONVERGENT; EXISTENCE; SYSTEMS;
D O I
10.1016/j.mcm.2011.09.033
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We obtain boundedness and asymptotic behavior of solutions for semilinear functional difference equations with infinite delay. Applications to Volterra difference equations with infinite delay are shown. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1083 / 1105
页数:23
相关论文
共 70 条
[21]   Discrete dichotomies and asymptotic behavior for abstract retarded functional difference equations in phase space [J].
Cuevas, C ;
Vidal, C .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2002, 8 (07) :603-640
[22]   Asymptotic behavior in Volterra difference systems with unbounded delay [J].
Cuevas, C ;
Pinto, M .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 113 (1-2) :217-225
[23]   Weighted convergent and bounded solutions of Volterra difference systems with infinite delay [J].
Cuevas, C .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2000, 6 (04) :461-480
[24]  
Cuevas C., 2011, EXISTENCE ALMOST AUT, P1
[25]   Maximal regularity of discrete second order Cauchy problems in Banach spaces [J].
Cuevas, Claudio ;
Lizama, Carlos .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2007, 13 (12) :1129-1138
[26]   Weighted S-Asymptotically ω-Periodic Solutions of a Class of Fractional Differential Equations [J].
Cuevas, Claudio ;
Pierri, Michelle ;
Sepulveda, Alex .
ADVANCES IN DIFFERENCE EQUATIONS, 2011,
[27]   S-asymptotically ω-periodic solutions for semilinear Volterra equations [J].
Cuevas, Claudio ;
Lizama, Carlos .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (13) :1628-1636
[28]   Existence of S-asymptotically ω-periodic solutions for fractional order functional integro-differential equations with infinite delay [J].
Cuevas, Claudio ;
de Souza, Julio Cesar .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) :1683-1689
[29]   Semilinear evolution equations on discrete time and maximal regularity [J].
Cuevas, Claudio ;
Lizama, Carlos .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 361 (01) :234-245
[30]   S-asymptotically ω-periodic solutions of semilinear fractional integro-differential equations [J].
Cuevas, Claudio ;
de Souza, Julio Cesar .
APPLIED MATHEMATICS LETTERS, 2009, 22 (06) :865-870