Existence of Periodic Solutions of Nonlinear Systems with Nonlinear Boundary Conditions

Citation
Xiaolin, Xiang et Tao, Luo, Existence of Periodic Solutions of Nonlinear Systems with Nonlinear Boundary Conditions, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 11(4), 1995, pp. 439-445
ISSN journal
10009574
Volume
11
Issue
4
Year of publication
1995
Pages
439 - 445
Database
ACNP
SICI code
Abstract
In this paper we consider the periodic solutions of nonlinear parabolic systems with nonlinear boundary conditions. By constructing the Poincare operator, we obtain the existence of W.². -periodic weak solutions under some reasonable assumptions.