Periodic solutions of a class of higher order neutral type equations
β Scribed by Cao Jinde
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 242 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0253-4827
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π SIMILAR VOLUMES
Consider the higher order neutral differential equation x t y x t y q Ε½ . Ε½ . Ε½ . Q t x t y s 0, t G t with Q t continuous, ) 0, G 0, and n odd. We 0 establish several new sufficient conditions for the oscillation of all solutions and the existence of a positive solution by an associated ordinary di
In this paper, we prove existence results for periodic solutions concerning the higher-order delay differential equations. Our method is based upon the coincidence degree theory of Mawhin. The results obtained are new. Examples are given to illustrate the main results.
By means of variational structure and Z 2 -group index theory, we obtain infinite periodic solutions to a class second-order Sturm-Liouville neutral delay equations
## 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 _