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ON SOME PROBLEMS FOR A LOADED PARABOLIC-HYPERBOLIC EQUATION
- Authors: Tarasenko A.1
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Affiliations:
- Samara State Technical University
- Issue: Vol 19, No 6 (2013)
- Pages: 201-204
- Section: Articles
- URL: https://journals.ssau.ru/est/article/view/4679
- DOI: https://doi.org/10.18287/2541-7525-2013-19-6-201-204
- ID: 4679
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Abstract
Some problems with various boundary conditions for the loaded mixed type equation in rectangular area are studied. The criterion of uniqueness is established and theorems of an existence of solutions to the problems are proved. The solutions are constructed as Fourier series with respect to eigenfunctions of a corresponding one-dimensional problem.
About the authors
A.V. Tarasenko
Samara State Technical University
Author for correspondence.
Email: morenov.sv@ssau.ru
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