Nonlocal Cauchy problems for semilinear evolution equations
β Scribed by Jin Liang; J. van Casteren; Ti-Jun Xiao
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 151 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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 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, we study the global existence of solutions for semilinear evolution equations with nonlocal conditions, via a fixed point analysis approach. Using the LerayαSchauder Alternative, we derive conditions under which a solution exists globally.