Asymptotic linearity of solutions of nonlinear differential equations-Reference-Cited by-同舟云学术

Asymptotic linearity of solutions of nonlinear differential equations

Published:1987-04 Issue:2 Volume:35 Page:257-265
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Chen Shaozhu

Abstract

In this paper we establish sufficient or necessary conditions for the nonlinear differential equation u″ + f (t, u) = 0 to have solutions which are asymptotic to lines with non-zero slopes and correct some formulations in theorems obtained by D.S. Cohen and J. Tong.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

1. Non-oscillation theorems

2. The asymptotic behavior of a class of nonlinear differential equations

3. A generalization of a lemma of bellman and its application to uniqueness problems of differential equations

4. The asymptotic behavior of a class of nonlinear differential equations of second order

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1. ASYMPTOTIC INTEGRATIONS OF NONOSCILLATORY 2ND-ORDER DIFFERENTIAL-EQUATIONS;T AM MATH SOC;1991

2. Asymptotic integrations of nonoscillatory second order differential equations;Transactions of the American Mathematical Society;1991

3. Asymptotic linearity of solutions of self-adjoint systems of second order differential equations;Journal of Mathematical Analysis and Applications;1990-05

4. Asymptotic behaviour of solutions to neutral functional differential equations;Bulletin of the Australian Mathematical Society;1989-12