A new generalization of the Sturm comparison theorem to selfadjoint systems
Author:
Abstract
The Sturm Comparison Theorem is generalized to second order linear systems. It is based on a comparison of the elements of the matrices involved.
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics,General Mathematics
Link
http://www.ams.org/proc/1978-068-02/S0002-9939-1978-0470327-4/S0002-9939-1978-0470327-4.pdf
Reference7 articles.
1. Component properties of second order linear systems;Ahmad, Shair;Bull. Amer. Math. Soc.,1976
2. On the components of extremal solutions of second order systems;Ahmad, Shair;SIAM J. Math. Anal.,1977
3. Lecture Notes in Mathematics, Vol. 220;Coppel, W. A.,1971
4. A generalization of the sturm separation and comparison theorems in 𝑛-space;Morse, Marston;Math. Ann.,1930
Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Sturm-Picone type theorems for second order nonlinear impulsive differential equations;AIP Conference Proceedings;2017
2. On conjugate points for second order systems;Applied Mathematics and Computation;1994-01
3. Disconjugacy and Comparison Theorems for Second-Order Linear Systems;SIAM Journal on Mathematical Analysis;1986-09
4. On an extension of Sturm's comparison theorem to a class of nonselfadjoint second-order systems;Nonlinear Analysis: Theory, Methods & Applications;1980-01
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