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Asymptotic linearity of solutions of nonlinear differential equations

Published online by Cambridge University Press:  17 April 2009

Shaozhu Chen
Shaozhu Chen
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 1A1.
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 35 , Issue 2 , April 1987 , pp. 257 - 265
Copyright
Copyright © Australian Mathematical Society 1987

References

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