Geodesic
On a~mixed value problem for a~nonlinear partial differential equation containing a~squared hyperbolic operator and nonlinear reflecting deviation
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2011), pp. 59-69

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In this paper we consider the questions of one-valued solvability of the mixed problem for a nonlinear partial differential equation containing a squared hyperbolic operator and nonlinear reflecting deviation. Using the Fourier nonlinear method, we obtain a countable system of nonlinear integral equations. It is proved that the obtained series converges.
Keywords: quadrate of hyperbolic operator, reflecting deviation, countable system of nonlinear integral equations, general derivatives, convergence of series. 
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     author = {T. K. Yuldashev},
     title = {On a~mixed value problem for a~nonlinear partial differential equation containing a~squared hyperbolic operator and nonlinear reflecting deviation},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {59--69},
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T. K. Yuldashev. On a~mixed value problem for a~nonlinear partial differential equation containing a~squared hyperbolic operator and nonlinear reflecting deviation. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2011), pp. 59-69. http://geodesic.mathdoc.fr/item/VTGU_2011_2_a7/