Asymptotic behavior of mild solutions for a class of abstract nonlinear difference equations of convolution type

被引：9

作者：

Keyantuo, Valentin ^{[1
]}

Lizama, Carlos ^{[2
]}

Rueda, Silvia ^{[2
]}

Warma, Mahamadi ^{[1
]}

机构：

[1] Univ Puerto Rico, Dept Math, Fac Nat Sci, San Juan, PR 00936 USA

[2] Univ Santiago Chile, Dept Matemat & Ciencia Comp, Fac Ciencias, Santiago, Chile

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期

关键词：

Weighted pseudo asymptotically mild solutions; Abstract difference equations; Resolvent sequences of operators; DISCRETE MAXIMAL REGULARITY; STABILITY; SYSTEM; MODEL;

D O I：

10.1186/s13662-019-2189-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence and uniqueness of a weighted pseudo asymptotically mild solution to the following class of abstract semilinear difference equations: where A is the generator of a resolvent sequence {S(n)}nN0 of bounded and linear operators defined in a Banach space X, the sequences a,b are complex-valued, and fl1(ZxX,X).

引用

页数：29

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