Existence and uniqueness of pseudo almost. periodic solutions to some abstract partial neutral functional-differential equations and applications

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:327

Article

Diagana, Toka ; Hernandez, Eduardo M.

关键词: partial functional-differential equations;    pseudo almost periodic function;   

DOI  :  10.1016/j.jmaa.2006.04.043

来源: Elsevier

【 摘 要 】

The paper considers the existence and uniqueness of pseudo almost periodic (mild) solutions to some classes of first-order partial neutral functional-differential equations. Upon making some suitable assumptions, existence and uniqueness results are obtained. Applications include both a partial integro-differential equation arising in control systems and the scalar reaction-diffusion equation with delay. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

Free