Boundary value problems singular in the solution variable with nonlinear boundary data

Donal O'Regan

doi:10.1017/s0013091500023269

Boundary value problems singular in the solution variable with nonlinear boundary data

Donal O'Regan

Mathematics

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

5 Citations (Scopus)

Abstract

Existence results are established for the equation y″+f(t,y) = 0, 0<t < 1. Here f may be singular in y and f is allowed to change sign. Our boundary data include y(0) = y(1) + ky(1) = 0, k> -1 and y(0) = y′(1) + cy⁴(1) = 0, c > 0.

Original language	English
Pages (from-to)	505-523
Number of pages	19
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	39
Issue number	3
DOIs	https://doi.org/10.1017/s0013091500023269
Publication status	Published - 1996

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title = "Boundary value problems singular in the solution variable with nonlinear boundary data",

abstract = "Existence results are established for the equation y″+f(t,y) = 0, 0 -1 and y(0) = y′(1) + cy4(1) = 0, c > 0.",

author = "Donal O'Regan",

year = "1996",

doi = "10.1017/s0013091500023269",

language = "English",

volume = "39",

pages = "505--523",

journal = "Proceedings of the Edinburgh Mathematical Society",

issn = "0013-0915",

publisher = "Cambridge University Press",

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T1 - Boundary value problems singular in the solution variable with nonlinear boundary data

AU - O'Regan, Donal

PY - 1996

Y1 - 1996

N2 - Existence results are established for the equation y″+f(t,y) = 0, 0 -1 and y(0) = y′(1) + cy4(1) = 0, c > 0.

AB - Existence results are established for the equation y″+f(t,y) = 0, 0 -1 and y(0) = y′(1) + cy4(1) = 0, c > 0.

UR - https://www.scopus.com/pages/publications/21444445119

U2 - 10.1017/s0013091500023269

DO - 10.1017/s0013091500023269

M3 - Article

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VL - 39

SP - 505

EP - 523

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

IS - 3

ER -

Boundary value problems singular in the solution variable with nonlinear boundary data

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