Mixed Problem with an Integral Condition for the One-Dimensional Biwave Equation


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Abstract

We consider a mixed problem for the one-dimensional biwave equation with boundary conditions and a nonlocal integral condition. We prove the existence and uniqueness of the classical solution of the problem and obtain an analytic representation of the solution.

About the authors

V. I. Korzyuk

Institute of Mathematics; Belarusian State University

Author for correspondence.
Email: korzyuk@bsu.by
Belarus, Minsk, 220072; Minsk, 220030

N. V. Vinh

Belarusian State University; University of Education

Email: korzyuk@bsu.by
Belarus, Minsk, 220030; Hue City

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