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Proceedings of the American Mathematical Society

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



Nonoscillation properties of a nonlinear differential equation

Author: Michael E. Hammett
Journal: Proc. Amer. Math. Soc. 30 (1971), 92-96
MSC: Primary 34.42
MathSciNet review: 0279384
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Abstract: Sufficient conditions are given for the approach to zero of all nonoscillatory solutions of $ (p(t)x')' + q(t)g(x) = f(t)$. The conditions are related to an oscillation theorem of N. P. Bhatia concerning the equation $ (p(t)x')' + q(t)g(x) = 0$.

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  • [1] Nam P. Bhatia, Some oscillation theorems for second order differential equations, J. Math. Anal. Appl. 15 (1966), 442–446. MR 0203164

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Keywords: Oscillatory, nonoscillatory, nonlinear, differential equation, solution, monotonic, approach zero
Article copyright: © Copyright 1971 American Mathematical Society