Article

Inverse Problems for the Loaded Parabolic-Hyperbolic Equation Involves Riemann–Liouville Operator

O. Kh. AbdullaevKimyo International University in Tashkent, 100121, Tashkent, UzbekistanT. K. YuldashevTashkent State University of Economics, Department of General and Mathematical Sciences, 100066, Tashkent, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2023en

ABI

Abstract

In this article, the existence and the uniqueness of solution of inverse problems with non-linear gluing condition for the loaded parabolic-hyperbolic type equation is studied. The problem is reduced to study nonlinear Fredholm integral equation of second kind. The theorem on existence and uniqueness of solution was proved by the method of successive approximations.

Topics

Numerical methods in inverse problems Differential Equations and Boundary Problems Advanced Mathematical Modeling in Engineering

Identifiers

DOI: 10.1134/s1995080223030034

Citations and references

Cited by 12 33 references

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