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Reduction of a Mixed Characteristic Problem to the Initial Cauchy Problem for Nonlinear Oscillation Equations

Volume 6, Issue 1, February 2021    |    PP. 1-17    |PDF (221 K)|    Pub. Date: March 8, 2021
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Author(s)
Rusudan Bitsadze, Department of Mathematics, Georgian Technical University, Tbilisi, Georgia

Abstract
For the well-known nonlinear oscillation equation, we consider a nonlinear mixed characteristic problem, which is a nonlinear analogue of the Darboux problem and consists in the simultaneous definition of a solution and its regular propagation domain. The question of solvability of the formulated problem is solved by the method of characteristics and reduction to the Cauchy problem.

Keywords
characteristics, general integral, definition domain, initial problem

Cite this paper
Rusudan Bitsadze, Reduction of a Mixed Characteristic Problem to the Initial Cauchy Problem for Nonlinear Oscillation Equations, SCIREA Journal of Mathematics. Vol. 6 , No. 1 , 2021 , pp. 1 - 17 .

References

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