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COMPARISON THEOREMS IN DELAY DIFFERENTIAL EQUATIONS IN A CRITICAL STATE AND APPLICATIONS

Published online by Cambridge University Press:  19 March 2001

J. S. YU  and
X. H. TANG
J. S. YU
Affiliation:
Department of Applied Mathematics, Hunan University, Changsha, Hunan 410082, China; [email protected]
X. H. TANG
Affiliation:
Department of Applied Mathematics, Central South University of Technology, Changsha, Hunan 410083, China
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Abstract

First, two comparison theorems are established between the first order delay differential equation

formula here

and two related second order ordinary differential equations in the case when

formula here

Next, by using these comparison theorems some new oscillation and non-oscillation criteria are given for (*) under condition (**). As a consequence, an open problem by Elbert and Stavroulakis is completely solved.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 63 , Issue 1 , February 2001 , pp. 188 - 204
Copyright
The London Mathematical Society 2001

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Footnotes

This project was supported by NNSF (19831030) of China.