Semipositone Higher-Order Differential Equations

R. P. Agarwal; S. R. Grace; D. O'Regan

doi:10.1016/S0893-9659(04)90033-X

Semipositone Higher-Order Differential Equations

R. P. Agarwal
, S. R. Grace
, D. O'Regan

Mathematics

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

35 Citations (Scopus)

Abstract

The existence of positive solutions to semipositone conjugate and (n,p) problems was discussed using Krasnaoselskii's fixed-point theorem in a cone. The existence results for semipositone higher-order boundary value problems were also presented. The lemmas and theorems for the conjugate boundary value problem were analyzed. The nonlinearity values in the problems was found to take negative values.

Original language	English
Pages (from-to)	201-207
Number of pages	7
Journal	Applied Mathematics Letters
Volume	17
Issue number	2
DOIs	https://doi.org/10.1016/S0893-9659(04)90033-X
Publication status	Published - Feb 2004

Keywords

Conjugate and (n,p) problems
Existence
Positive solution
Semipositone

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10.1016/S0893-9659(04)90033-X

Cite this

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abstract = "The existence of positive solutions to semipositone conjugate and (n,p) problems was discussed using Krasnaoselskii's fixed-point theorem in a cone. The existence results for semipositone higher-order boundary value problems were also presented. The lemmas and theorems for the conjugate boundary value problem were analyzed. The nonlinearity values in the problems was found to take negative values.",

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AU - Grace, S. R.

AU - O'Regan, D.

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KW - Conjugate and (n,p) problems

KW - Existence

KW - Positive solution

KW - Semipositone

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U2 - 10.1016/S0893-9659(04)90033-X

DO - 10.1016/S0893-9659(04)90033-X

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Semipositone Higher-Order Differential Equations

Abstract

Keywords

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