2017
Том 69
№ 9

All Issues

Multipoint Problem for Nonisotropic Partial Differential Equations with Constant Coefficients

Ptashnik B. I., Symotyuk M. M.

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Abstract

We investigate the well-posedness of a problem with multipoint conditions with respect to a chosen variable t and periodic conditions with respect to coordinates x 1,..., x p for a nonisotropic (concerning differentiation with respect to t and x 1,..., x p) partial differential equation with constant complex coefficients. We establish conditions for the existence and uniqueness of a solution of this problem and prove metric theorems on lower bounds for small denominators appearing in the course of the construction of its solution.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 2, pp 293-310.

Citation Example: Ptashnik B. I., Symotyuk M. M. Multipoint Problem for Nonisotropic Partial Differential Equations with Constant Coefficients // Ukr. Mat. Zh. - 2003. - 55, № 2. - pp. 241-254.

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