## A new necessary and sufficient condition for the existence of eventually positive solutions is obtained for a class of odd-order neutral differential equations.
Eventually positive solutions of odd order neutral differential equations
β Scribed by Guang Zhang
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 319 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
β¦ Synopsis
The odd order neutral differential equations are considered. New necessary and sufficient conditions, and comparison theorems of existence of eventually positive solutions are obtained. Nonexistence criteria of eventually positive solutions are also established. (~) 2000 Elsevier Science Ltd. All rights reserved.
π SIMILAR VOLUMES
The fourth-order quasilinear di erential equation is considered under the assumptions that ΒΏ 0, ΓΏ ΒΏ 0 and q(t) is a positive continuous function on an interval [a; β), a ΒΏ 0, and the necessary and su cient integral conditions for the existence of eventually positive solutions of (1.1) are establish
## Abstract In this paper, we consider the higher order neutral delay differential equation where __p__ : [0, β) β (0, β) is a continuous function, __r__ > 0 and __Ο__ > 0 are constants, and __n__ > 0 is an odd integer. A positive solution __x__(__t__) of Eq. (\*) is called a ClassβI solution if _
We consider the nonlinear neutral differential equations. This work contains some sufficient conditions for the existence of a positive solution which is bounded with exponential functions. The case when the solution converges to zero is also treated.