A comparison principle for terminal value problems in ordinary differential equations-Reference-Cited by-同舟云学术

A comparison principle for terminal value problems in ordinary differential equations

Published:1972 Issue:0 Volume:169 Page:49-57
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Hallam Thomas G.

Abstract

A comparison principle for a terminal value problem of an ordinary differential equation is formulated. Basic related topics such as the existence of maximal and minimal solutions of terminal value problems are investigated. The close relationship between the existence of the extremal solutions of a terminal value problem and the concept of asymptotic equilibrium of the differential equation is explored. Several applications of the terminal comparison principle are given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1972-169-00/S0002-9947-1972-0306611-3/S0002-9947-1972-0306611-3.pdf

Reference10 articles.

1. Global behavior of solutions of ordinary differential equations;Brauer, Fred;J. Math. Anal. Appl.,1961

2. Bounds for solutions of ordinary differential equations;Brauer, Fred;Proc. Amer. Math. Soc.,1963

3. T. G. Hallam, Convergence of solutions of nonlinear differential equations, Ann. Mat. Pura Appl. (to appear).

4. The asymptotic manifolds of a perturbed linear system of differential equations;Hallam, T. G.;Trans. Amer. Math. Soc.,1970

5. Growth estimates for convergent solutions of ordinary differential equations;Hallam, Thomas G.;J. Mathematical and Physical Sci.,1971

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