Asymptotic behaviour of a class of nonlinear functional differential equations of third order

doi:10.1016/S0893-9659(00)00157-9

Applied Mathematics Letters

Volume 14, Issue 3, April 2001, Pages 327-332

https://doi.org/10.1016/S0893-9659(00)00157-9 Get rights and content

Under an Elsevier user license

open archive

Abstract

This paper deals with nonoscillatory behaviour of solutions of third-order nonlinear functional differential equations of the form y‴ + p(t)y′ + q(t)F(y(g(t))) = 0. It has been shown that under certain conditions on coefficient functions, the nonoscillatory solutions of this equation tends to either zero or ∓∞ as t → ∞.

Keywords

Third-order functional differential equations

Nonoscillatory solutions

Asymptotic behaviour of solutions

Cited by (0)

^☆: The authors would like to thank the referee for his valuable remarks.

Applied Mathematics Letters

Asymptotic behaviour of a class of nonlinear functional differential equations of third order☆

Abstract

Keywords