Existence and asymptotic properties of solutions of nonlinear multivalued differential inclusions with nonlocal conditions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:390

Article

Zhu, Lanping¹  Huang, Qianglian¹  Li, Gang¹ 

[1] Yangzhou Univ, Sch Math, Yangzhou 225002, Peoples R China

关键词: Nonlinear differential inclusions;    m-Dissipative operators;    Multivalued fixed point theorem;    Integral solutions;    Asymptotic properties;   

DOI  :  10.1016/j.jmaa.2012.01.055

来源: Elsevier

【 摘 要 】

This paper deals with a nonlocal problem governed by the nonlinear differential inclusions with multivalued perturbations in Banach spaces. First using the approach of geometry of Banach space, Hausdorff metric, the measure of noncompactness and fixed point, existence results are obtained. We have removed from previous papers the crucial restriction on the semigroup. Then we establish the asymptotic properties of integral solutions when t -> +infinity. Finally, for illustration, a partial differential equation is worked out. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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