In this paper, we study the existence of solutions of periodic boundary value problem for second-order nonlinear dynamic equations on time scales. For this purpose, we use two methods here. First, sign properties of the Green's function are investigated and existence results of bounded solutions of
On boundary value problems of second order perturbed dynamic inclusions on time scales
โ Scribed by Yong-Kui Chang; Wan-Tong Li
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 210 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
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โฆ Synopsis
In this paper, an existence criterion is established for a class of second order perturbed dynamic inclusions on time scales with boundary conditions. The main approach is a fixed-point theorem for multi-valued maps due to Dhage.
๐ SIMILAR VOLUMES
In this paper, for a second-order boundary value problem on time scales, a method of generalized quasilinearization, under coupled upper and lower solutions, is discussed. An attempt for the method is to establish sufficient conditions for generating monotone iterative schemes whose elements converg
The authors obtain some existence criteria for positive solutions of a higher order semipositone multi-point boundary value problem on a time scale. Applications to some special problems are also discussed. This work extends and complements many results in the literature on this topic.