Boundary value problems for first-order differential equations

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Abstract

Conditions sufficient to guarantee existence and uniqueness of solutions to multipoint boundary value problems for the first-order differential equation y' = h(t, y) are given when h fails to be Lipschitz along a solution of y' = h(t, y) and the initial-value problem thus has nonunique solutions.

Original languageEnglish
Pages (from-to)501-506
Number of pages6
JournalProceedings of the American Mathematical Society
Volume99
Issue number3
DOIs
Publication statusPublished - Mar 1987
Externally publishedYes

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