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

O'Regan, Donal
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Publication Date
1996-10-01
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Article
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Citation
O'Regan, Donal (1996). Boundary value problems singular in the solution variable with nonlinear boundary data. Proceedings of the Edinburgh Mathematical Society 39 , 505-523
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) + cy(4)(1) = 0, c > 0.
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Publisher
Cambridge University Press (CUP)
Publisher DOI
10.1017/s0013091500023269
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Attribution-NonCommercial-NoDerivs 3.0 Ireland