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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2008, Issue 3, Pages 10–15
(Mi uzeru309)
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
Method of Galyorkin for nonlinear Sobolev type equations
R. Lotfikarab a Yerevan State University
b Islamic Azad University, Tehran
Abstract:
In this paper the following initial boundary value problem is considered: $$\left\{ \begin{array}{l} L\left(\frac{\partial u(t,x)}{\partial t}\right)+Mu(t,x)=f(t,x),\\ u(0,x)=u_0(x),\\ D^{\gamma}u\Big|_{\tilde A}=0, |\gamma|<m,\end{array} \right.$$ $L$ and $M$ are nonlinear differential operators.
It is proved that if $L$ and $M$ satisfy to some conditions, then the sequence constructed by solutions of Galyorkin’s equations for this problem is convergence to the week solution of the problem
Received: 29.01.2008
Citation:
R. Lotfikar, “Method of Galyorkin for nonlinear Sobolev type equations”, Proceedings of the YSU, Physical and Mathematical Sciences, 2008, no. 3, 10–15
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https://www.mathnet.ru/eng/uzeru309 https://www.mathnet.ru/eng/uzeru/y2008/i3/p10
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Abstract page: | 86 | Full-text PDF : | 25 | References: | 19 |
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