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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Existence of solutions of $ x''+x+g(x)=p(t),\;x(0)=0=x(\pi)$


Authors: R. Kannan and R. Ortega
Journal: Proc. Amer. Math. Soc. 96 (1986), 67-70
MSC: Primary 34B15; Secondary 47H15
MathSciNet review: 813812
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Abstract: We obtain criteria for the existence of solutions of $ x + x + g(x) = p(t),x(0) = 0 = x(\pi )$, where $ g:R \to R$ is not necessarily bounded and does not necessarily have proper limits $ g(\infty )$ and $ g( - \infty )$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0813812-X
PII: S 0002-9939(1986)0813812-X
Article copyright: © Copyright 1986 American Mathematical Society