Multivalued differential equations in Banach spaces

Donald O'Regan

doi:10.13025/24404

Multivalued differential equations in Banach spaces

Donald O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

7 Citations (Scopus)

Abstract

Existence principles and results are presented for differential inclusions in Banach spaces. Two methods are involved. First, a new existence principle for the differential inclusion is established. Second, the existence of solutions, called viable solutions, are used for the differential inclusions.

Original language	English
Pages (from-to)	109-116
Number of pages	8
Journal	Computers and Mathematics with Applications
Volume	38
Issue number	5
DOIs	https://doi.org/10.13025/24404 https://doi.org/10.1016/s0898-1221(99)00218-7
Publication status	Published - Sept 1999

Keywords

differential inclusions
proximate retracts

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10.13025/24404Licence: CC BY
10.1016/s0898-1221(99)00218-7

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abstract = "Existence principles and results are presented for differential inclusions in Banach spaces. Two methods are involved. First, a new existence principle for the differential inclusion is established. Second, the existence of solutions, called viable solutions, are used for the differential inclusions.",

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AB - Existence principles and results are presented for differential inclusions in Banach spaces. Two methods are involved. First, a new existence principle for the differential inclusion is established. Second, the existence of solutions, called viable solutions, are used for the differential inclusions.

KW - differential inclusions

KW - proximate retracts

UR - http://hdl.handle.net/10379/9675

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U2 - 10.13025/24404

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JF - Computers and Mathematics with Applications

IS - 5

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Multivalued differential equations in Banach spaces

Abstract

Keywords

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