PROBLEM WITH TIME-DEPENDENT BOUNDARY CONDITIONS FOR HYPERBOLIC EQUATION


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Abstract

In this paper, we consider a problem for hyperbolic equation with standard initial data and nonlocal dynamic conditions. Such conditions may arise when a thick short bar fixed by point forces and springs. The existence and uniqueness of the problem are proved. The proof is mainly based on a priori estimates and Galerkin procedure.

About the authors

A. V. Dyuzheva

Samara National Research University

Author for correspondence.
Email: morenov@ssau.ru
Russian Federation

References

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