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Conditions for the solvability of singular boundary value problems

Published online by Cambridge University Press:  17 April 2009

Xiyu Liu
Xiyu Liu
Affiliation:
Department of MathematicsShandong Normal UniversityJinanShandong 250014People's Republic of China
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Abstract

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Consider the singular boundary value problem (r(x′))′ + f(t, x) = 0, 0 < t < 1. We give necessary and sufficient conditions for this problem to have solutions. In addition, a uniqueness result is obtained.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 53 , Issue 3 , June 1996 , pp. 485 - 497
Copyright
Copyright © Australian Mathematical Society 1996

References

[1]O'Regan, D., ‘Some general existence principles and results for (ϕ(y′))′ = qf(t, y, y′)’, SIAM J. Math. Anal. 24 (1993), 648–668.CrossRefGoogle Scholar
[2]O'Regan, D., ‘Some existence principle and some general results for singular nonlinear two point BVP’, J. Math. Anal. Appl. 166 (1992), 24–40.CrossRefGoogle Scholar
[3]O'Regan, D., ‘Singular second order BVP’, Nonlinear Anal. 65 (1990), 1097–1109.CrossRefGoogle Scholar