2017
Том 69
№ 9

All Issues

A Problem with Nonlocal Conditions for Partial Differential Equations Unsolved with Respect to the Leading Derivative

Ptashnik B. I., Vlasii O. D.

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Abstract

In the domain that is the product of a segment and a p-dimensional torus, we investigate the well-posedness of a problem with nonlocal boundary conditions for a partial differential equation unsolved with respect to the leading derivative with respect to a selected variable. We establish conditions for the the classical well-posedness of the problem and prove metric theorems on the lower bounds of small denominators appearing in the course of its solution.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 8, pp 1238-1253.

Citation Example: Ptashnik B. I., Vlasii O. D. A Problem with Nonlocal Conditions for Partial Differential Equations Unsolved with Respect to the Leading Derivative // Ukr. Mat. Zh. - 2003. - 55, № 8. - pp. 1022-1034.

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