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Proceedings of the American Mathematical Society

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

 

 

Oscillation of a forced second order nonlinear differential equation


Author: Samuel M. Rankin
Journal: Proc. Amer. Math. Soc. 59 (1976), 279-282
MSC: Primary 34C10
MathSciNet review: 0414997
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Abstract: Sufficient conditions are given which insure that every solution of $ (a(t)y')' + p(t)f(y)g(y') = r(t)$ has arbitrarily large zeros. We seem to have a partial answer to a question posed by Kartsatos [4]. An example is given illustrating the result.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0414997-3
Keywords: Nonoscillatory solution, oscillatory solution, oscillation, nonlinear forced differential equations
Article copyright: © Copyright 1976 American Mathematical Society