Disconjugacy and oscillation of third order differential equations with nonnegative coefficients-Reference-Cited by-同舟云学术

Disconjugacy and oscillation of third order differential equations with nonnegative coefficients

Published:1973 Issue:3 Volume:38 Page:577-582
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Etgen G. J.,Shih C. D.

Abstract

The purpose of this paper is to establish conditions which imply that the third order linear differential equation with nonnegative coefficients defined on an infinite interval will fail to be disconjugate on any infinite subinterval. Assuming that the equation is not disconjugate on any infinite subinterval, conditions are presented which establish that the equation has oscillatory solutions. These results are in partial answer to questions raised by J. H. Barrett. The oscillation criteria obtained here are similar to the oscillation conditions established by A. C. Lazer.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1973-038-03/S0002-9939-1973-0320432-3/S0002-9939-1973-0320432-3.pdf

Reference5 articles.

1. Third-order differential equations with nonnegative coefficients;Barrett, John H.;J. Math. Anal. Appl.,1968

2. Oscillation theory of ordinary linear differential equations;Barrett, John H.;Advances in Math.,1969

3. G. J. Etgen and C. D. Shih, Disconjugacy of third order differential equations with non-negative coefficients, J. Math. Anal. Appl. (to appear).

4. Oscillation criteria for third-order linear differential equations;Hanan, Maurice;Pacific J. Math.,1961

5. The behavior of solutions of the differential equation 𝑦”’+𝑝(𝑥)𝑦′+𝑞(𝑥)𝑦=0;Lazer, A. C.;Pacific J. Math.,1966

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