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Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces

โœ Scribed by Xingmei Xue

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
650 KB
Volume
70
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

In this paper we give the existence of integral solutions for nonlinear differential equations with nonlocal initial conditions under the assumptions of the Hausdorff measure of noncompactness in separable and uniformly smooth Banach spaces.

๐Ÿ“œ SIMILAR VOLUMES

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Nonlocal differential equations with multivalued perturbations in Banach spaces
โœ Lanping Zhu; Gang Li ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 241 KB

We discuss the existence of mild solutions for nonlocal differential inclusions with multivalued perturbations in Banach spaces and establish new existence theorems for related Cauchy problems, which extend some existing results in this area. Using the established results, we investigate a special n