Conditional Correctness of the Initial-Boundary Value Problem for The System of Second Order Mixed Type Equations

Authors

  • Khajiev I.O National University of Uzbekistan, Turin Polytechnic University in Tashkent
  • Mamatqulova M.Sh National University of Uzbekistan
  • Komiljonova G.A. National University of Uzbekistan

Keywords:

system of mixed type equations, ill-posed problem, a priori estimate

Abstract

In this paper, we investigate the ill-posed initial boundary value problem for the system of mixed type equations. A priori estimate of solution is obtained with the method of logarithmic convexity. The theorems of uniqueness and conditional stability are proved on the set of correctness of the solution. An approximate solution to the problem is constructed by the regularization method. We calculate an estimate for efficiency of the norm of the difference between exact and approximate solutions.

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Published

2023-04-18

How to Cite

Khajiev I.O, Mamatqulova M.Sh, & Komiljonova G.A. (2023). Conditional Correctness of the Initial-Boundary Value Problem for The System of Second Order Mixed Type Equations. Zeta Repository, 17, 47–57. Retrieved from https://zetarepo.com/index.php/zr/article/view/1881

Issue

Vol. 17 (2023): EJPCM

Section

Articles