Existence of solutions to some initial value, two-point, and multi-point boundary value problems with discontinuous nonlinearities

John W. Lee; Donal O'Regan

doi:10.1080/00036818908839861

Existence of solutions to some initial value, two-point, and multi-point boundary value problems with discontinuous nonlinearities

John W. Lee, Donal O'Regan

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

11 Citations (Scopus)

Abstract

A variety of initial and boundary value problems in applied mathematics have nonlinear, discontinuous forcing terms. Existence theorems for problems of this sort are established for initial value, two-point, and multi-point boundary value problems for ordinary differential equations. Applications to steady-state heat conduction problems are given.

Original language	English
Pages (from-to)	57-77
Number of pages	21
Journal	Applicable Analysis
Volume	33
Issue number	1-2
DOIs	https://doi.org/10.1080/00036818908839861
Publication status	Published - 1 Jan 1989
Externally published	Yes

Keywords

discontinuous nonlinearities
initial value problems
multi-point boundary value problems
Topological transversality

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10.1080/00036818908839861

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title = "Existence of solutions to some initial value, two-point, and multi-point boundary value problems with discontinuous nonlinearities",

abstract = "A variety of initial and boundary value problems in applied mathematics have nonlinear, discontinuous forcing terms. Existence theorems for problems of this sort are established for initial value, two-point, and multi-point boundary value problems for ordinary differential equations. Applications to steady-state heat conduction problems are given.",

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year = "1989",

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AU - O'Regan, Donal

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Y1 - 1989/1/1

N2 - A variety of initial and boundary value problems in applied mathematics have nonlinear, discontinuous forcing terms. Existence theorems for problems of this sort are established for initial value, two-point, and multi-point boundary value problems for ordinary differential equations. Applications to steady-state heat conduction problems are given.

AB - A variety of initial and boundary value problems in applied mathematics have nonlinear, discontinuous forcing terms. Existence theorems for problems of this sort are established for initial value, two-point, and multi-point boundary value problems for ordinary differential equations. Applications to steady-state heat conduction problems are given.

KW - discontinuous nonlinearities

KW - initial value problems

KW - multi-point boundary value problems

KW - Topological transversality

UR - https://www.scopus.com/pages/publications/70249114197

U2 - 10.1080/00036818908839861

DO - 10.1080/00036818908839861

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VL - 33

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JO - Applicable Analysis

JF - Applicable Analysis

IS - 1-2

ER -

Existence of solutions to some initial value, two-point, and multi-point boundary value problems with discontinuous nonlinearities

Abstract

Keywords

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