Abstract
The problem with two nodes on the selected variable $t$ and periodicity conditions in other coordinates $x_1,\ldots,x_p$ for linear partial differential equations is investigated. The conditions of solvability problem in the spaces of smooth functions with exponential behavior of Fourier coefficients are established. The estimates for characteristic determinants of the problem are proved.
Publisher
Yuriy Fedkovych Chernivtsi National University
Subject
Computer Science Applications,History,Education
Reference14 articles.
1. [1] Bernik V.I., Melnychuk Yu.V. Diophantine approximations and the Hausdor dimension. Nauka I Tekhnika, Minsk, 1988. (Russian)
2. [2] Bilusyak N.I., Ptashnyk B.Yo. Boundary-value problem for equations with variable coe cients not solved relative to the highest derivative with respect to time. Math. Metody ta Fiz.-Mekh. Polya 2008, 51 (2), 42-52. (Ukrainian)
3. [3] Bilusyak N.I., Ptashnyk B.Yo., Repetylo S.M. Boundary-value problem with mixed conditions for weakly nonlinear hyperbolic equations. Math. Metody ta Fiz.-Mekh. Polya 2010, 53 (3), 74-84. (Ukrainian)
4. [4] Bobyk I.O., Ptashnyk B.Yo. Boundary value problems for hyperbolic equations with constant coeffcients. Ukr. math. journ. 1994, 46 (7), 795-802. (Ukrainian)
5. [5] Faddeev D.K., Sominskiy I.S. Collection of problems in higher algebra. Vyshcha Shkola, Kyiv, 1971. (Ukrainian)