2017
Том 69
№ 9

All Issues

A periodic problem for the inhomogeneous equation of string oscillations

Khoma G. P., Mitropolskiy Yu. A., Tsynalko P. V.

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Abstract

We study a periodic problem for the equation u tt−uxx=g(x, t), u(x, t+T)=u(x, t), u(x+ω, t)= =u(x, t), ℝ2 and establish conditions of the existence and uniqueness of the classical solution.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 4, pp 618-627.

Citation Example: Khoma G. P., Mitropolskiy Yu. A., Tsynalko P. V. A periodic problem for the inhomogeneous equation of string oscillations // Ukr. Mat. Zh. - 1997. - 49, № 4. - pp. 558–565.

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