Positive solutions of nonpositone Dirichlet boundary value problems with singularities in the phase variables

Donal O'Regan

doi:10.1002/mana.200610630

Positive solutions of nonpositone Dirichlet boundary value problems with singularities in the phase variables

Donal O'Regan

Mathematics

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6 Citations (Scopus)

Abstract

The paper presents existence results for positive solutions of the differential equations x + mu h(x) = 0 and x + mu f (t, x) = 0 satisfying the Dirichlet boundary conditions. Here A is a positive parameter and h and f are singular functions of non-positone type. Examples are given to illustrate the main results. (c) 2008 WILEY-VCH Verlag GmbH Co. KGaA, Weinheim.

Original language	English (Ireland)
Pages (from-to)	612-625
Number of pages	14
Journal	MATHEMATISCHE NACHRICHTEN
Volume	281
Issue number	5
DOIs	https://doi.org/10.1002/mana.200610630
Publication status	Published - 1 Aug 2008

Keywords

Dirichlet boundary conditions
Existence
Non-positone singular boundary value problem
Positive solution

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

Authors
Agarwal, R.P.; Stanˇek, S.
Agarwal, RP;O'Regan, D;Stanek, S

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10.1002/mana.200610630

Cite this

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abstract = "The paper presents existence results for positive solutions of the differential equations x + mu h(x) = 0 and x + mu f (t, x) = 0 satisfying the Dirichlet boundary conditions. Here A is a positive parameter and h and f are singular functions of non-positone type. Examples are given to illustrate the main results. (c) 2008 WILEY-VCH Verlag GmbH Co. KGaA, Weinheim.",

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N2 - The paper presents existence results for positive solutions of the differential equations x + mu h(x) = 0 and x + mu f (t, x) = 0 satisfying the Dirichlet boundary conditions. Here A is a positive parameter and h and f are singular functions of non-positone type. Examples are given to illustrate the main results. (c) 2008 WILEY-VCH Verlag GmbH Co. KGaA, Weinheim.

AB - The paper presents existence results for positive solutions of the differential equations x + mu h(x) = 0 and x + mu f (t, x) = 0 satisfying the Dirichlet boundary conditions. Here A is a positive parameter and h and f are singular functions of non-positone type. Examples are given to illustrate the main results. (c) 2008 WILEY-VCH Verlag GmbH Co. KGaA, Weinheim.

KW - Dirichlet boundary conditions

KW - Existence

KW - Non-positone singular boundary value problem

KW - Positive solution

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DO - 10.1002/mana.200610630

M3 - Article

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JO - MATHEMATISCHE NACHRICHTEN

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IS - 5

ER -

Positive solutions of nonpositone Dirichlet boundary value problems with singularities in the phase variables

Abstract

Keywords

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

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