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Nonoscillatory solutions of neutral delay differential equations

Published online by Cambridge University Press:  17 April 2009

Ming-Po Chen ,
J.S. Yu  and
Z.C. Wang
Ming-Po Chen
Affiliation:
Institute of Mathematics Academia Sinica Nankang, Taipei 11529, Taiwan
J.S. Yu
Affiliation:
Institute of Mathematics Academia Sinica Nankang, Taipei 11529, Taiwan
Z.C. Wang
Affiliation:
Department of Applied Mathematics, Hunan University Changsha, Hunan 410082, China
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Consider the following neutral delay differential equation

where p ∈ R, τ ∈ (0, ∞), δ ∈ R+ = (0, ∞) and Q ∈ (C([t0, ∞), R). We show that if

then Equation (*)has a nonoscillatory solution when p ≠ –1. We also deal in detail with a conjecture of Chuanxi, Kulenovic and Ladas, and Györi and Ladas.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 48 , Issue 3 , December 1993 , pp. 475 - 483
Copyright
Copyright © Australian Mathematical Society 1993

References

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