Solvability of Nonlocal Boundary Value Problems for an Equation of Mixed Type with Various Boundary Conditions


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Abstract

Two boundary value problems in which one of the conditions is nonlocal and contains a real parameter are studied for an equation of mixed type in a half-strip. Sufficient conditions for the unique solvability of these problems are obtained under some restrictions on the parameter.

About the authors

E. I. Moiseev

Lomonosov Moscow State University; Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences

Author for correspondence.
Email: decan@cs.msu.ru
Russian Federation, Moscow, 119991; Moscow, 119333

T. E. Moiseev

Lomonosov Moscow State University

Email: decan@cs.msu.ru
Russian Federation, Moscow, 119991

N. I. Popivanov

Institute of Information and Communication Technologies; Sofia University “St. Kliment Ohridski,”

Email: decan@cs.msu.ru
Bulgaria, Sofia, 1113; Sofia, 1504

A. A. Kholomeeva

Lomonosov Moscow State University; Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences

Email: decan@cs.msu.ru
Russian Federation, Moscow, 119991; Moscow, 119333

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