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Existence results for some initial and boundary value problems


Authors: Anthony G. O’Farrell and Donal O’Regan
Journal: Proc. Amer. Math. Soc. 110 (1990), 661-673
MSC: Primary 34B15; Secondary 34A12
DOI: https://doi.org/10.1090/S0002-9939-1990-1021212-6
MathSciNet review: 1021212
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Abstract: Existence results for a variety of initial- and boundary-value problems are presented. For the problems considered, we show that the existence question depends on properties of the zero set of the nonlinearity. The analysis throughout is based upon a nonlinear alternative of A. Granas and the use of a priori bounds.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1990-1021212-6
Keywords: Existence, nonlinear, boundary-value problems, initial-value problems
Article copyright: © Copyright 1990 American Mathematical Society