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

Florida Institute of Technology
Technical University of Sliven
University of Galway

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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JO - Differential Equations

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

Abstract

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