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

Published online by Cambridge University Press:  20 January 2009

Donal O'Regan
Donal O'Regan
Affiliation:
Department of MathematicsUniversity CollegeGalwayIreland
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Abstract

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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.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 3 , October 1996 , pp. 505 - 523
Copyright
Copyright © Edinburgh Mathematical Society 1996

References

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