Existence of time periodic solutions for one-dimensional Newtonian filtration equation with multiple delays
Ying Yang, Jilin University, Changchun, P. R. China E. J. Qualitative Theory of Diff. Equ., No. 52. (2010), pp. 1-20.
Jingxue Yin, South China Normal University, Guangzhou, P. R. China
Chunhua Jin, South China Normal University, Guangzhou, P. R. China
| Communicated by P. Eloe. | Received on 2010-03-05 Appeared on 2010-09-06 |
Abstract: In this paper, we study one-dimensional Newtonian filtration equation including unbounded sources with multiple delays. The existence of nonnegative non-trivial time periodic solutions will be established by the Leray-Schauder fixed point theorem based on some suitable Lyapunov functionals and some a priori estimates for all possible periodic solutions.
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