Barrier strips and positive solutions of first order singular and regular initial value problems

Donal O'Regan

doi:10.1134/S0012266109100024

Barrier strips and positive solutions of first order singular and regular initial value problems

Donal O'Regan

Mathematics

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

Abstract

We use the barrier strip method to prove sufficient conditions for the global solvability of the initial value problem f(t, x, x) = 0, x(0) = A, including the case in which the function (t, x, y) - f(t, x, y) has a singularity at x = A.

Original language	English (Ireland)
Pages (from-to)	1408-1413
Number of pages	6
Journal	Differential Equations
Volume	45
Issue number	10
DOIs	https://doi.org/10.1134/S0012266109100024
Publication status	Published - 1 Oct 2009

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Authors
Agarwal, RP,Kelevedjiev, PS,O'Regan, D

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10.1134/S0012266109100024

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abstract = "We use the barrier strip method to prove sufficient conditions for the global solvability of the initial value problem f(t, x, x) = 0, x(0) = A, including the case in which the function (t, x, y) - f(t, x, y) has a singularity at x = A.",

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AB - We use the barrier strip method to prove sufficient conditions for the global solvability of the initial value problem f(t, x, x) = 0, x(0) = A, including the case in which the function (t, x, y) - f(t, x, y) has a singularity at x = A.

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Barrier strips and positive solutions of first order singular and regular initial value problems

Abstract

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