Discrete second order inclusions

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

doi:10.1080/1023619031000097044

Discrete second order inclusions

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

23 Citations (Scopus)

Abstract

New existence results are presented for the second order discrete inclusion Δ²y(i - 1) ∈ F(i, y(i)), i ∈ {1,...,T}, with y(0) = y(T + 1) = 0. Our technique involves using fixed point theory for multivalued upper semicontinuous maps from the literature.

Original language	English
Pages (from-to)	879-885
Number of pages	7
Journal	Journal of Difference Equations and Applications
Volume	9
Issue number	10
DOIs	https://doi.org/10.1080/1023619031000097044
Publication status	Published - 1 Oct 2003

Keywords

Discrete inclusion
Fixed point theory
Upper semicontinuous

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10.1080/1023619031000097044

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title = "Discrete second order inclusions",

abstract = "New existence results are presented for the second order discrete inclusion Δ2y(i - 1) ∈ F(i, y(i)), i ∈ \{1,...,T\}, with y(0) = y(T + 1) = 0. Our technique involves using fixed point theory for multivalued upper semicontinuous maps from the literature.",

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AU - Agarwal, Ravi P.

AU - O'Regan, Donal

AU - Lakshmikantham, V.

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N2 - New existence results are presented for the second order discrete inclusion Δ2y(i - 1) ∈ F(i, y(i)), i ∈ {1,...,T}, with y(0) = y(T + 1) = 0. Our technique involves using fixed point theory for multivalued upper semicontinuous maps from the literature.

AB - New existence results are presented for the second order discrete inclusion Δ2y(i - 1) ∈ F(i, y(i)), i ∈ {1,...,T}, with y(0) = y(T + 1) = 0. Our technique involves using fixed point theory for multivalued upper semicontinuous maps from the literature.

KW - Discrete inclusion

KW - Fixed point theory

KW - Upper semicontinuous

UR - https://www.scopus.com/pages/publications/0041570001

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DO - 10.1080/1023619031000097044

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VL - 9

SP - 879

EP - 885

JO - Journal of Difference Equations and Applications

JF - Journal of Difference Equations and Applications

IS - 10

ER -

Discrete second order inclusions

Abstract

Keywords

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