Nonresonance impulsive higher order functional nonconvex-valued differential inclusions | Zendy

Mouffak Benchohra | Zendy; John R. Graef | Zendy; Johnny Henderson | Zendy; Sotiris K. Ntouyas | Zendy

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Nonresonance impulsive higher order functional nonconvex-valued differential inclusions

Author(s) -

Mouffak Benchohra,

John R. Graef,

Johnny Henderson,

Sotiris K. Ntouyas

Publication year - 2002

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2002.1.13

Subject(s) - mathematics , differential inclusion , order (exchange) , differential (mechanical device) , pure mathematics , mathematical analysis , business , thermodynamics , physics , finance

In this paper, the authors investigate the existence of solutions for nonresonance impulsive higher order functional dieren tial inclusions in Banach spaces with nonconvex valued right hand side. They present two results. In the rst one, they rely on a xed point theorem for contraction multivalued maps due to Covitz and Nadler, and for the second one, they use Schaefer’s xed point theorem combined with lower semi-continuous multivalued operators with decomposable values.

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