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ArticleOriginal scientific text

Title

Classifications and existence of nonoscillatory solutions of second order nonlinear neutral differential equations

Authors 1

Affiliations

  1. Department of Mathematics, Zhangye Teachers' College, Zhangye, Gansu 734000, P.R. China

Abstract

A class of neutral nonlinear differential equations is studied. Various classifications of their eventually positive solutions are given. Necessary and/or sufficient conditions are then derived for the existence of these eventually positive solutions. The derivations are based on two fixed point theorems as well as the method of successive approximations.

Keywords

ENG
oscillation, neutral nonlinear differential equation, asymptotic behavior

Bibliography

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  2. H. J. Li and W. L. Liu, Oscillations of second order neutral differential equations, Math. Comput. Modelling 22 (1995), 45-53.
  3. H. J. Li and W. L. Liu, Oscillation criteria for second order neutral differential equations, preprint.
  4. W. D. Lu, Existence and asymptotic behavior of nonoscillatory solutions of second order nonlinear neutral equations, Acta Math. Sinica 36 (1993), 476-484.
  5. J. Ruan, Types and criteria of nonoscillatory solutions of second order linear neutral differential equations, Chinese Ann. Math. Ser. A 8 (1987), 114-124.
Annales Polonici Mathematici
1996-1997/65/3
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Pages:
283-302
Main language of publication
English
Received
1996-06-19
Published
1997
Exact and natural sciences