Bulletin KRASEC. Phys. & Math. Sci. 2017. vol. 16, issue. 1. pp. 26-33. ISSN 2313-0156

DOI: 10.18454/2313-0156-2017-16-1-26-33

MSC 35M10

BOUNDARY-VALUE PROBLEMS WITH GENERALIZED GLUING CONDITIONS FOR A LOADED DIFFERENTIAL EQUATION WITH A PARABOLIC-HYPERBOLIC OPERATOR

B. Islomov, U. I. Baltaeva

National University of Uzbekistan named after Mirzo Ulugbek, 100174, Uzbekistan, Tashkent c., University st. 4
E-mail: umida_baltayeva@mail.ru

In the present work we study the unique solvability of local boundary value problems with generalized gluing conditions for the third order differential equation with a loaded parabolic-hyperbolic operator.

Key words: loaded equation; equations of mixed type; parabolic-hyperbolic operator; integral equations; gluing condition.

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For citation: Islomov B. I., Baltaeva U. I. Boundary-value problems with generalized gluing conditions for a loaded differential equation with a parabolic-hyperbolic operator. Bulletin KRASEC. Physical and Mathematical Sciences 2017, vol. 16, issue 1, 26-33. DOI: 10.18454/2313-0156-2017-16-1-26-33.

Original article submitted: 14.09.2016

islomov

 

    Bozor Islamov – Dr. Si. (Phys & Math), Professor, Department of Differential equations and mathematical physics, National University of Uzbekistan named by Mirzo Ulugbek, Tashkent, Republic of Uzbekistan.

 

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baltaeva

 

   Baltaeva Umida Ismoilovna – Ph.D.(Phys & Math), Ph.D.(Phys & Math), Senior Researcher of department Differential equations and mathematical physics, National University of Uzbekistan named by Mirzo Ulugbek, Tashkent, Republic of Uzbekistan

 

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