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ArticleOriginal scientific text

Title

Linearized comparison criteria for a nonlinear neutral differential equation

Authors 1, 2

Affiliations

  1. Department of Mathematics, Northeast Heavy Machinery Institute, Qiqihar, Heilongjiang, 161042 P.R. China
  2. Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan, 30043 R.O.C.

Abstract

A class of nonlinear neutral differential equations with variable coefficients and delays is considered. Conditions for the existence of eventually positive solutions are obtained which extend some of the criteria existing in the literature. In particular, a linearized comparison theorem is obtained which establishes a connection between our nonlinear equations and a class of linear neutral equations with constant coefficients.

Keywords

ENG
neutral differential equations, positive solutions, linearized comparison theorems

Bibliography

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Annales Polonici Mathematici
1996/64/2
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Pages:
161-173
Main language of publication
English
Received
1995-11-08
Published
1996
Exact and natural sciences