Viable solutions of differential inclusions on closed sets

Ravi P. Agarwal; Donal O'Regan

doi:10.1080/00036810410001724625

Viable solutions of differential inclusions on closed sets

Ravi P. Agarwal
, Donal O'Regan

Mathematics

Department of Mathematical Sciences

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

7 Citations (Scopus)

Abstract

This article studies the existence of viable solutions to the Cauchy problem u′ ∈ ϕ (t, u) for a.e. t∈ [0,1], u (0)=x ₀ ∈ K (a closed subset of R ^N ) where the nonlinearity ϕ satisfies a Wintner-type growth condition.

Original language	English
Pages (from-to)	1027-1036
Number of pages	10
Journal	International Journal of Phytoremediation
Volume	83
Issue number	10
DOIs	https://doi.org/10.1080/00036810410001724625
Publication status	Published - Oct 2004

Keywords

AMS Subject Classification: 34G25
Cauchy problem
Differential inclusion
Viable solutions
Wintner-type growth

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10.1080/00036810410001724625

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title = "Viable solutions of differential inclusions on closed sets",

abstract = " This article studies the existence of viable solutions to the Cauchy problem u′ ∈ ϕ (t, u) for a.e. t∈ [0,1], u (0)=x 0 ∈ K (a closed subset of R N ) where the nonlinearity ϕ satisfies a Wintner-type growth condition.",

keywords = "AMS Subject Classification: 34G25, Cauchy problem, Differential inclusion, Viable solutions, Wintner-type growth",

author = "Agarwal, \{Ravi P.\} and Donal O'Regan",

year = "2004",

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doi = "10.1080/00036810410001724625",

language = "English",

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T1 - Viable solutions of differential inclusions on closed sets

AU - Agarwal, Ravi P.

AU - O'Regan, Donal

PY - 2004/10

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N2 - This article studies the existence of viable solutions to the Cauchy problem u′ ∈ ϕ (t, u) for a.e. t∈ [0,1], u (0)=x 0 ∈ K (a closed subset of R N ) where the nonlinearity ϕ satisfies a Wintner-type growth condition.

AB - This article studies the existence of viable solutions to the Cauchy problem u′ ∈ ϕ (t, u) for a.e. t∈ [0,1], u (0)=x 0 ∈ K (a closed subset of R N ) where the nonlinearity ϕ satisfies a Wintner-type growth condition.

KW - AMS Subject Classification: 34G25

KW - Cauchy problem

KW - Differential inclusion

KW - Viable solutions

KW - Wintner-type growth

UR - https://www.scopus.com/pages/publications/84976257449

U2 - 10.1080/00036810410001724625

DO - 10.1080/00036810410001724625

M3 - Article

AN - SCOPUS:84976257449

SN - 1522-6514

VL - 83

SP - 1027

EP - 1036

JO - International Journal of Phytoremediation

JF - International Journal of Phytoremediation

IS - 10

ER -

Viable solutions of differential inclusions on closed sets

Abstract

Keywords

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