On Sturmian theory for second order systems-Reference-Cited by-同舟云学术

On Sturmian theory for second order systems

Published:1983 Issue:4 Volume:87 Page:661-665
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ahmad Shair

Abstract

A generalization of the Sturm Comparison Theorem is given to nonselfadjoint second order linear systems. In addition, a theorem, involving the existence of a solution with strictly positive components, is proven. Counterexamples are given to show that the theorems are false without the stated assumptions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1983-087-04/S0002-9939-1983-0687636-8/S0002-9939-1983-0687636-8.pdf

Reference11 articles.

1. On the components of extremal solutions of second order systems;Ahmad, Shair;SIAM J. Math. Anal.,1977

2. An 𝑁-dimensional extension of the Sturm separation and comparison theory to a class of nonselfadjoint systems;Ahmad, Shair;SIAM J. Math. Anal.,1978

3. Positive operators and Sturmian theory of nonselfadjoint second-order systems;Ahmad, Shair,1978

4. A new generalization of the Sturm comparison theorem to selfadjoint systems;Ahmad, Shair;Proc. Amer. Math. Soc.,1978

5. On an extension of Sturm’s comparison theorem to a class of nonselfadjoint second-order systems;Ahmad, Shair;Nonlinear Anal.,1980

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