Article

Boundary value problem for the third-order equation with multiple characteristics

Djumaniyazova Khilola AtamuratovnaFaculty of accounting and audit, Higher and applied mathematics, Tashkent Institute of Finance, Uzbekistan,Khashimov Abdukomil RisbekovichHigher and applied mathematics, Tashkent Institute of Finance, Uzbekistan

Annals of Mathematics and Physicsjournal2023en

ABI

Abstract

The article constructs a unique solution to a tertiary-order equation with multiple characteristics with boundary conditions that include all possible local boundary conditions. The uniqueness of the solution of boundary value problems is proved by the method of integral equations using the sign-definiteness of quadratic forms. When proving the existence of a solution to the problem, Green's function method, the theory of integral equations and potentials are used.

Topics

Differential Equations and Boundary Problems Advanced Mathematical Physics Problems Differential Equations and Numerical Methods

Identifiers

DOI: 10.17352/amp.000067

Citations and references

Cited by 06 references

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