Zeros of solutions of a second order nonlinear differential inequality

Wong, Fu Hsiang

doi:10.1090/S0002-9939-1991-1034889-7

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

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Zeros of solutions of a second order nonlinear differential inequality
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by Fu Hsiang Wong

Proc. Amer. Math. Soc. 111 (1991), 497-500

DOI: https://doi.org/10.1090/S0002-9939-1991-1034889-7

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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 \[ (r(t)y’(t))’ + g(t)F(y(t)) \leq 0( \geq 0)\] is simple.

References

Man Kam Kwong, Uniqueness of positive solutions of $\Delta u-u+u^p=0$ in $\textbf {R}^n$, Arch. Rational Mech. Anal. 105 (1989), no. 3, 243–266. MR 969899, DOI 10.1007/BF00251502
J. LaSalle, Uniqueness theorems and successive approximations, Ann. of Math. (2) 50 (1949), 722–730. MR 31165, DOI 10.2307/1969559