Journal of Jianghan University (Natural Science Edition) ›› 2020, Vol. 48 ›› Issue (3): 24-30.doi: 10.16389/j.cnki.cn42-1737/n.2020.03.004
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YU Guosheng
Published:
Abstract: In this paper, we made use of a new method to study the existence and uniqueness for solution of stochastic functional partial differential equations in separable Hilbert spaces. Firstly,by means of Burkholder- Davis- Gundy inequality and Gronwalllemma,the uniqueness of solution was obtained. Then,the iterative process converging to the process u ( t ) was obtained. Finally,we proved the convergent process u ( t ) was the solution of stochastic functional partial differential equations.
Key words: stochastic partial differential equations, energy solution, existence and uniqueness
CLC Number:
O211.6
YU Guosheng. Existence and Uniqueness for Solution of Stochastic Functional Partial Differential Equations[J]. Journal of Jianghan University (Natural Science Edition), 2020, 48(3): 24-30.
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URL: https://qks.jhun.edu.cn/jhdx_zk/EN/10.16389/j.cnki.cn42-1737/n.2020.03.004
https://qks.jhun.edu.cn/jhdx_zk/EN/Y2020/V48/I3/24