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Proceedings of the American Mathematical Society

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

 

 

Zeros of solutions of a second order nonlinear differential inequality


Author: Fu Hsiang Wong
Journal: Proc. Amer. Math. Soc. 111 (1991), 497-500
MSC: Primary 34A40; Secondary 34C10
DOI: https://doi.org/10.1090/S0002-9939-1991-1034889-7
MathSciNet review: 1034889
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Abstract: Under suitable assumptions on $ r,g$, and $ F$, we show that every zero of a solution of the nonlinear differential inequality

$\displaystyle (r(t)y'(t))' + g(t)F(y(t)) \leq 0( \geq 0)$

is simple.

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1991-1034889-7
Keywords: Simple zero, LaSalle's inequality
Article copyright: © Copyright 1991 American Mathematical Society