Opial’s inequality and oscillation of 2nd order equations-Reference-Cited by-同舟云学术

Opial’s inequality and oscillation of 2nd order equations

Published:1997 Issue:4 Volume:125 Page:1123-1129
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Brown R.,Hinton D.

Abstract

For a second-order differential equation, we obtain from Opial’s inequality lower bounds for the spacing between two zeros of a solution or between a zero of a solution and a zero of its derivative. These bounds are expressed in terms of antiderivatives of the potential, and in particular we derive some new Liapunov type inequalities from them.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1997-125-04/S0002-9939-97-03907-5/S0002-9939-97-03907-5.pdf

Reference4 articles.

1. Extensions of Opial’s inequality;Beesack, P. R.;Pacific J. Math.,1968

2. Best constants in a class of integral inequalities;Boyd, David W.;Pacific J. Math.,1969

3. On the oscillation of differential equations with an oscillatory coefficient;Harris, B. J.;Trans. Amer. Math. Soc.,1995

4. Mathematics and its Applications (East European Series);Mitrinović, D. S.,1991

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