Article

Some non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type

Abdumauvlen BerdyshevInstitute of Mathematics, Uzbek Academy of Sciences, 700125, Tashkent, UzbekistanErkinjon KarimovInstitute of Mathematics, Uzbek Academy of Sciences, 700125, Tashkent, Uzbekistan

Central European Journal of Mathematicsjournal2006en

ABI

Abstract

In this work two non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type are considered. Unique solvability of these problems is proven. The uniqueness of the solution is proven by the method of energy integrals and the existence is proven by the method of integral equations.

Topics

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

Identifiers

DOI: 10.2478/s11533-006-0007-8

Citations and references

Cited by 8 44 references

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