Geodesic
Method of Galyorkin for nonlinear Sobolev type equations
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2008), pp. 10-15

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In this paper the following initial boundary value problem is considered: $$\left\{\begin{array}{l} L\left(\frac{\partial u(t,x)}{\partial t}\right)+Mu(t,x)=f(t,x),\\ u(0,x)=u_0(x),\\ D^{\gamma}u\Big|_{\tilde A}=0, |\gamma|,\end{array}\right.$$ $L$ 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 
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     author = {R. Lotfikar},
     title = {Method of {Galyorkin} for nonlinear {Sobolev} type equations},
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     url = {http://geodesic.mathdoc.fr/item/UZERU_2008_3_a1/}
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R. Lotfikar. Method of Galyorkin for nonlinear Sobolev type equations. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2008), pp. 10-15. http://geodesic.mathdoc.fr/item/UZERU_2008_3_a1/