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


Asymptotic decay of oscillatory solutions of second order differential equations with forcing term

Authors: Takaŝi Kusano and Hiroshi Onose
Journal: Proc. Amer. Math. Soc. 66 (1977), 251-257
MSC: Primary 34K15
MathSciNet review: 0457901
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Abstract: The ordinary differential equation $ (p(t)y')' + q(t)f(y) = r(t)$ and its companion functional differential equation are considered. Sufficient conditions are given which ensure that all oscillatory solutions tend to zero as $ t \to \infty $.

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PII: S 0002-9939(1977)0457901-5
Keywords: Differential equation with forcing term, oscillatory solution, asymptotic behavior
Article copyright: © Copyright 1977 American Mathematical Society