Existence of mild solutions on noncompact intervals to second-order initial value problems for a class of differential inclusions with nonlocal conditions

✍ Scribed by M. Benchohra; S.K. Ntouyas

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 571 KB
• Volume: 39
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(00)00125-5

✦ Synopsis

In

this paper, we investigate the existence of mild solutions on an unbounded real interval to second-order initial value problems for a class of differential inclusions with nonlocal conditions. We shall rely on a theorem of Ma, which is an extension to multivalued maps on locally convex topological spaces of Schaefer's Theorem.