Note on existence of nonnegative solutions to singular semi-positone problems

Ravi P. Agarwal; Donal O'Regan

doi:10.1016/S0362-546X(98)00181-3

Note on existence of nonnegative solutions to singular semi-positone problems

Ravi P. Agarwal
, Donal O'Regan

Mathematics

National University of Singapore
University of Galway

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

46 Citations (Scopus)

Abstract

A proof is given which guarantees the existence of nonnegative solutions to the semi-positone problem. As an example, the boundary-value problem is considered. It is shown that under physically reasonable conditions, a Thiele modulus that is easy to calculate is present in addition to the nonnegative solution.

Original language	English
Pages (from-to)	615-622
Number of pages	8
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	36
Issue number	5
DOIs	https://doi.org/10.1016/S0362-546X(98)00181-3
Publication status	Published - 1 Jun 1999

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title = "Note on existence of nonnegative solutions to singular semi-positone problems",

abstract = "A proof is given which guarantees the existence of nonnegative solutions to the semi-positone problem. As an example, the boundary-value problem is considered. It is shown that under physically reasonable conditions, a Thiele modulus that is easy to calculate is present in addition to the nonnegative solution.",

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AU - O'Regan, Donal

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N2 - A proof is given which guarantees the existence of nonnegative solutions to the semi-positone problem. As an example, the boundary-value problem is considered. It is shown that under physically reasonable conditions, a Thiele modulus that is easy to calculate is present in addition to the nonnegative solution.

AB - A proof is given which guarantees the existence of nonnegative solutions to the semi-positone problem. As an example, the boundary-value problem is considered. It is shown that under physically reasonable conditions, a Thiele modulus that is easy to calculate is present in addition to the nonnegative solution.

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U2 - 10.1016/S0362-546X(98)00181-3

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Note on existence of nonnegative solutions to singular semi-positone problems

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