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EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR ORDINARY DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS

Bobisud, L. E.
; 
O'Regan, Donal

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http://hdl.handle.net/10379/8882
 https://doi.org/10.13025/24307

Date

1996-07-01

Keywords

boundary value problems , nonlinear boundary conditions , nonlinear alternative

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journal article

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Citation

Bobisud, L. E. O'Regan, Donal (1996). EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR ORDINARY DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS. Proceedings of the American Mathematical Society 124 (7), 2081-2087

Abstract

We prove the existence of nonnegative solutions of the problem (py')'/p + mu qg(x, y) = 0, lim(x-->0+)py' = 0, h(y'(1)) + y(1) = 0 for a physically motivated class of nonlinearity h. The results, which are established using a ''forbidden value'' argument, are new even in the case of linear h.

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Publisher

American Mathematical Society (AMS)

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