Article

Nonlocal boundary value problems for a third order equation of elliptic-hyperbolic type

B. I. IslomovNational University of Uzbekistan named after M. Ulugbek, 4, st. University, Tashkent city,100174, UzbekistanBakhtiyor UsmonovChirchik State Pedagogical University, 104, Amir Temur Str, Chirchik city, 111708, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Abstract

In this paper, we study nonlocal boundary value problems for a third-order equation with an elliptic-hyperbolic operator in the principal part. Existence and uniqueness theorems for the classical solution of the stated problems are proved. The proofs of the theorem are based on energy identities, as well as on the theory of singular and Fredholm integral equations.

Topics

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

Identifiers

DOI: 10.1063/5.0200357

Citations and references

Cited by 2 4 references

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