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On the mixed problem for quasilinear pseudoparabolic equation
Hüseyin Halilov
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Abstract
In this paper the multidimensional mixed problem for the quasilinear pseudoparabolic equation ut-Lxu-εLxut=f(t,x,u) is considered. Lx is a differential operator, which composes (with boundary operator) a self adjoint operator. An existence, uniqueness and also continuous dependense on the small parameter ε>0 of generalized solution is proved. The estimation of the difference of exact and approximate solutions is obtained