A stacking theorem approach for fuzzy differential equations

Ravi P. Agarwal; Donal O'Regan; V. Lakshmikantham

doi:10.1016/S0362-546X(03)00241-4

A stacking theorem approach for fuzzy differential equations

Ravi P. Agarwal
, Donal O'Regan
, V. Lakshmikantham

Mathematics

Department of Mathematical Sciences

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

42 Citations (Scopus)

Abstract

New existence results for fuzzy differential equations were presented. The structure of solution sets for differential inclusions were studied. It was assumed that a subset of a reflexive Banach space was weakly compact if it was closed in the weak topology and bounded in the norm topology. The analysis combined the stacking theorem with new solution set results for ordinary differential equations.

Original language	English
Pages (from-to)	299-312
Number of pages	14
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	55
Issue number	3
DOIs	https://doi.org/10.1016/S0362-546X(03)00241-4
Publication status	Published - 1 Nov 2003

Keywords

Existence
Fuzzy
Solution set
Stacking theorem

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Agarwal, RP;O'Regan, D;Lakshmikantham, V

Access to Document

10.1016/S0362-546X(03)00241-4

Cite this

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title = "A stacking theorem approach for fuzzy differential equations",

abstract = "New existence results for fuzzy differential equations were presented. The structure of solution sets for differential inclusions were studied. It was assumed that a subset of a reflexive Banach space was weakly compact if it was closed in the weak topology and bounded in the norm topology. The analysis combined the stacking theorem with new solution set results for ordinary differential equations.",

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AU - O'Regan, Donal

AU - Lakshmikantham, V.

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N2 - New existence results for fuzzy differential equations were presented. The structure of solution sets for differential inclusions were studied. It was assumed that a subset of a reflexive Banach space was weakly compact if it was closed in the weak topology and bounded in the norm topology. The analysis combined the stacking theorem with new solution set results for ordinary differential equations.

AB - New existence results for fuzzy differential equations were presented. The structure of solution sets for differential inclusions were studied. It was assumed that a subset of a reflexive Banach space was weakly compact if it was closed in the weak topology and bounded in the norm topology. The analysis combined the stacking theorem with new solution set results for ordinary differential equations.

KW - Existence

KW - Fuzzy

KW - Solution set

KW - Stacking theorem

UR - https://www.scopus.com/pages/publications/0041387375

U2 - 10.1016/S0362-546X(03)00241-4

DO - 10.1016/S0362-546X(03)00241-4

M3 - Article

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VL - 55

SP - 299

EP - 312

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 3

ER -

A stacking theorem approach for fuzzy differential equations

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

Access to Document

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