Cite this article as:
Khromov A. P. The Mixed Problem for the Differential Equation with Involution and Potential of the Special Kind. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2010, vol. 10, iss. 4, pp. 17-22. DOI: https://doi.org/10.18500/1816-9791-2010-10-4-17-22
The Mixed Problem for the Differential Equation with Involution and Potential of the Special Kind
For the solution of some mixed problem with involution and real symmetrical potential, explicit analytical formula has been found with the use of the Fourier method. Techniques allowing to avoid term-byterm differentiation of the functional series and impose the minimum conditions for initial problem data, are used.
1. Андреев, А.А. О корректности краевых задач для некоторых уравнений в частных производных с карлемановским сдвигом/ А.А. Андреев // Дифференциальные уравнения и их приложения: Тр. 2-го Междунар. семинара. – Самара, 1998. – С. 5–18.
2. Чернятин, В.А. Обоснование метода Фурье в смешанной задаче для уравнений в частных производных / В.А. Чернятин. – М., 1991. – 112 c.
