A result of Smith and Thieme shows that if a semiflow is strongly order preserving, then a typical orbit converges to the set of equilibria. For the equation Ε½ . Ε½ . Ε½ Ε½ Ε½ Ε½ .... with state-dependent delay x t s y x t q f x t y r x t , where ) 0 and f ΛΕ½ . and r are smooth real functions with f 0 s
Multiple Periodic Solutions of an Equation with State-Dependent Delay
β Scribed by Benjamin Kennedy
- Publisher
- Springer US
- Year
- 2011
- Tongue
- English
- Weight
- 577 KB
- Volume
- 23
- Category
- Article
- ISSN
- 1040-7294
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π SIMILAR VOLUMES
Sufficient criteria are established for the existence of periodic solutions to a type of Duffing equation with state-dependent delay, which improve and generalize some related results in the literature. The approach is based on Mawhin's continuation theorem. The significance of the present paper is
The equation xΠ t q x t s bx t y 1 , where ΠΈ designates the greatest integer function, can be described in brief by two amazing properties. First, for certain values of the coefficients, some or all of its solutions are monotone although the corresponding homogeneous equation is clearly oscillatory.