A Sturm theorem for partial differential equations of mixed type-Reference-Cited by-同舟云学术

A Sturm theorem for partial differential equations of mixed type

Published:1981 Issue:1 Volume:81 Page:75-78
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Kreith Kurt

Abstract

A generalization of the Sturm comparison theorem is given for differential equations of mixed type. The results constitute a generalization of Sturmian theorems used in the study of hyperbolic initial boundary value problems.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1981-081-01/S0002-9939-1981-0589139-6/S0002-9939-1981-0589139-6.pdf

Reference4 articles.

1. Sturmian theorems for hyperbolic equations;Kreith, Kurt;Proc. Amer. Math. Soc.,1969

2. Oscillation theorems for characteristic initial value problems for linear hyperbolic equations;Pagan, Gordon;Atti. Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8),1973

3. Mathematics in Science and Engineering, Vol. 48;Swanson, C. A.,1968

4. A dichotomy of PDE Sturmian theory;Swanson, C. A.;SIAM Rev.,1978

Cited by 7 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. On Green’s function of Cauchy–Dirichlet problem for hyperbolic equation in a quarter plane;Boundary Value Problems;2021-08-03

2. A note on sturmian comparison theorems for linear partial differential equations of second order;Applicable Analysis;1985-10

3. Oscillation Properties of Nonlinear Hyperbolic Equations;SIAM Journal on Mathematical Analysis;1984-05

4. A class of hyperbolic focal point problems;Hiroshima Mathematical Journal;1984-01-01

5. Qualitative theory for hyperbolic characteristic initial value problems;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1983