Abstract
Wave processes in an infinite membrane under the action of external force at given conditions of the process at two moments of time are modeled by a two-point problem for the D'Alembert equation. A class of quasi-polynomials which is a class of uniqueness solvability of problem is established. Due to the modification of the mathematical model of oscillation, it is possible to propose a differential-symbol method for construction of exact solutions of the problem. The examples of researching the wave processes in a membrane with two fixed given states are proposed. The indicated results can be effectively used in the study of the mathematical models of MEMS oscillations.
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