Browsing by Author "Shakhmurov, Veli B."

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Citation Count: 1
THE CAUCHY PROBLEM FOR GENERALIZED ABSTRACT BOUSSINESQ EQUATIONS
(Dynamic Publishers, inc, 2016) Shakhmurov, Veli B.
In this paper, the existence and uniqueness of solution of the Cauchy problem for abstract Boussinesq equations is obtained. By applying this result, the Wentzell-Robin type mixed problem for Boussinesq equations and the Cauchy problem for finite or infinite systems of Boussinesq equations are studied.
Citation Count: 4
SEPARABLE DIFFERENTIAL OPERATORS AND APPLICATIONS
(independent Univ Moscow-ium, 2016) Shakhmurov, Veli B.
The nonlocal boundary value problems for degenerate differential -operator equations with variable coefficients are studied. The Lp separability properties of elliptic problems and well-posedeness of parabolic problems in mixed LP spaces are derived. Then by using the regularity properties of linear problems, the existence and uniqueness of solution of nonlinear elliptic problem is obtained. Note that applications of these problems can be models of different physics process.