Upper and lower solutions for singular problems with nonlinear boundary data

Donal O'Regan

Upper and lower solutions for singular problems with nonlinear boundary data

Donal O'Regan

Mathematics

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Abstract

We obtain via Schauders fixed point theorem new results for singular boundary value problems when our nonlinear term f is allowed to change sign. Our boundary data include the Sturm Liouville condition y(0) = y(1)+ky(1) = 0, and the Stefan condition y(0) = y(1)+ay(4)(1) = 0, a 0.

Original language	English (Ireland)
Number of pages	21
Journal	NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
Volume	9
Publication status	Published - 1 Jan 2002

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Authors
Agarwal, RP;O'Regan, D

Cite this

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title = "Upper and lower solutions for singular problems with nonlinear boundary data",

abstract = "We obtain via Schauders fixed point theorem new results for singular boundary value problems when our nonlinear term f is allowed to change sign. Our boundary data include the Sturm Liouville condition y(0) = y(1)+ky(1) = 0, and the Stefan condition y(0) = y(1)+ay(4)(1) = 0, a 0.",

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N2 - We obtain via Schauders fixed point theorem new results for singular boundary value problems when our nonlinear term f is allowed to change sign. Our boundary data include the Sturm Liouville condition y(0) = y(1)+ky(1) = 0, and the Stefan condition y(0) = y(1)+ay(4)(1) = 0, a 0.

AB - We obtain via Schauders fixed point theorem new results for singular boundary value problems when our nonlinear term f is allowed to change sign. Our boundary data include the Sturm Liouville condition y(0) = y(1)+ky(1) = 0, and the Stefan condition y(0) = y(1)+ay(4)(1) = 0, a 0.

M3 - Article

VL - 9

JO - NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

JF - NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

ER -

Upper and lower solutions for singular problems with nonlinear boundary data

Abstract

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

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Cite this