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Full-Text Articles in Physical Sciences and Mathematics
A Criterion For The Solvability Of The Cauchy Problem For The System Of Thermoelasticity Equations, Iqbol Niyozov, Olimjan Maxmudov
A Criterion For The Solvability Of The Cauchy Problem For The System Of Thermoelasticity Equations, Iqbol Niyozov, Olimjan Maxmudov
Scientific Journal of Samarkand University
In this paper, we considered the problem of analytical continuation of the solution of the system equations of the thermoelasticity in bounded domain from its values and values of its strains on part of the boundary of this domain, i.e., the Cauchy’s problem and we give a criterion for the solvability of the Cauchy problem.
Of The Cauchy Problem For Thelaplace Equations On A Plane, D. S. Shodiyev
Of The Cauchy Problem For Thelaplace Equations On A Plane, D. S. Shodiyev
Scientific Journal of Samarkand University
In this paper, a uniqueness theorem is proved, and an estimate of conditional stability is obtained, and an approximate solution is constructed by the method of quasi-derivation and Tikhonov regularization.