Pseudo S-asymptotically Bloch type periodic solutions to fractional integro-differential equations with Stepanov-like force terms

被引：14

作者：

Chang, Yong-Kui ^{[1
]}

Wei, Yanyan ^{[1
]}

机构：

[1] Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2022年 / 73卷 / 02期

关键词：

Stepanov-like S-asymptotically (omega; k)-Bloch periodic function; Stepanov-like (weighted)pseudo S-asymptotically (omega; k)-Bloch periodic functions; Fractional integro-differential equations; ANTIPERIODIC MILD SOLUTIONS; WEIGHTED PSEUDO; AUTOMORPHIC-FUNCTIONS; BOUNDED SOLUTIONS; EXISTENCE;

D O I：

10.1007/s00033-022-01722-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we firstly present some notions of Stepanov-like S-asymptotically (omega, k)-Bloch periodic function, Stepanov-like (weighted) pseudo S-asymptotically (omega, k)-Bloch periodic functions and establish some basic properties of such functions. Finally, we investigate the existence and uniqueness of pseudo S-asymptotically (omega, k)-Bloch periodic solutions to a fractional integro-differential equation in Banach spaces with a Stepanov-like force function. The obtained results show that for each pseudo S-asymptotically (omega, k)-Bloch periodic input via Stepanov-like forcing disturbance, the output remains to be a bounded continuous mild solutions to the reference equation, which is also pseudo S-asymptotically (omega, k)-Bloch periodic.

引用

页数：17

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