Article contents
Existence of nonoscillatory solutions of first order nonlinear neutral equations
Published online by Cambridge University Press: 17 February 2009
Abstract
Consider the nonlinear neutral equation
where pi(t), hi(t), gj(t), Q(t) Є C[t0, ∞), limt→∞hi(t) = ∞, limt→∞gj(t) = ∞ i Є Im = {1, 2, …, m}, j Є In = {1, 2, …, n}. We obtain a necessary and sufficient condition (2) for this equation to have a nonoscillatory solution x(t) with limt→∞ inf|x(t)| > 0 (Theorems 5 and 6) or to have a bounded nonoscillatory solution x(t) with limt→∞ inf|x(t)| > 0 (Theorem 7).
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1990
References
- 7
- Cited by