Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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



Oscillatory properties of linear third-order differential equations.

Author: W. J. Kim
Journal: Proc. Amer. Math. Soc. 26 (1970), 286-293
MSC: Primary 34.42
MathSciNet review: 0264162
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Separation theorems, distribution of zeros of solutions, and disconjugacy criteria for linear third-order differential equations are discussed. For instance, it is proved that the equation $ y''' + py'' + qy' + ry = 0$, where $ p \in C'',q \in C'$, and $ r \in C$ on an interval $ I$, is disconjugate on $ I$ if $ p$ does not change sign and if $ q \leqq 0,r \geqq 0,q - 2p' \leqq 0$, and $ r - q' + p'' \leqq 0$ on $ I$.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 34.42

Retrieve articles in all journals with MSC: 34.42

Additional Information

Keywords: Zeros of solutions, separation, distribution of zeros, sufficient conditions for disconjugacy, linear equations, ordinary, third-order, real-valued coefficients
Article copyright: © Copyright 1970 American Mathematical Society