Asymptotic boundary value problems in Banach spaces

被引：10

作者：

Andres, J

Bader, R

机构：

[1] Palacky Univ, Fac Sci, Dept Math Anal, Olomouc 77900, Czech Republic

[2] Tech Univ Munich, Zentrum Math, D-80290 Munich, Germany

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 274卷 / 01期

关键词：

boundary value problems; differential inclusions in Banach spaces; noncompact intervals; fixed point index; measure of noncompactness; condensing multimaps; Frechet spaces; continuation principle; bounded solutions;

D O I：

10.1016/S0022-247X(02)00365-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A continuation principle is given for solving boundary value problems on arbitrary (possibly infinite) intervals to Caratheodory differential inclusions in Banach spaces. For this aim, the appropriate fixed point index is defined to condensing decomposable multivalued operators in Frechet spaces. This index extends and unifies the one for compact maps in Andres et al. [Trans. Amer. Math. Soc. 351 (1999) 4861-4903] as well as the one for operators in Banach spaces in Bader [Ph.D. Thesis, University of Munich, 1995]. As an application, we prove the existence of an entirely bounded solution of a semilinear evolution inclusion. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：437 / 457

页数：21

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