Low regularity solution for a nonlocal perturbation of KdV equation
β Scribed by Zhaohui Huo; Yueling Jia
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 194 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0044-2275
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π SIMILAR VOLUMES
This paper deals with the regularity and existence of solutions of a retarded semilinear differential equation with nonlocal condition by using the fundamental solution in the case where the principal operators are unbounded operators.
## Abstract In this article, we applied homotopy perturbation method to obtain the solution of the Kortewegβde Vries Burgers (for short, KdVB) and Lax's seventhβorder KdV (for short, LsKdV) equations. The numerical results show that homotopy perturbation method can be readily implemented to this ty
The approximate controllability for the nonlinear control system with nonlinear monotone hemicontinuous and the nonlinear perturbations is studied. The existence, uniqueness, aud a variation of solutions of the system are also given.