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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

A resonance problem in which the nonlinearity may grow linearly


Author: Shair Ahmad
Journal: Proc. Amer. Math. Soc. 92 (1984), 381-384
MSC: Primary 34B15
DOI: https://doi.org/10.1090/S0002-9939-1984-0759657-9
MathSciNet review: 759657
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Abstract: The purpose of this paper is to study a semilinear two point boundary value problem of resonance type in which the nonlinear perturbation may grow linearly. A significant improvement of a recent result due to Cesari and Kannan is given.


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DOI: https://doi.org/10.1090/S0002-9939-1984-0759657-9
Keywords: Resonance, Leray-Schauder continuation, method, Sturm comparison theorem
Article copyright: © Copyright 1984 American Mathematical Society

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