Semilinear integrodifferential equations with nonlocal cauchy problem
โ Scribed by Yanping Lin; James H. Liu
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 544 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we prove the existence of solutions of certain kinds of nonlinear fractional integrodifferential equations in Banach spaces. Further, Cauchy problems with nonlocal initial conditions are discussed for the aforementioned fractional integrodifferential equations. At the end, an example i
We investigate the global Cauchy problem for a class of semilinear hyperbolic systems where the interaction can be nonlocal in space and time. We establish global existence theorems for the initial value problem when the nonlinearity is dissipative in a weak sense, and satisfies the causality condit
In this paper, the nonlocal Cauchy problem is discussed for the fractional evolution equations in an arbitrary Banach space and various criteria on the existence and uniqueness of mild solutions are obtained. An example to illustrate the applications of main results is also given.
We establish the existence of a weak solution u of the semilinear wave equation where a(t, x) is equal to 1 outside a compact set with respect to x and a non-linear term f k which satisfies |f k (u)| โค C |u | k . For some non-trapping time- periodic perturbations a(t, x), we obtain the long time ex