2017
Том 69
№ 5

All Issues

Multipoint Problem for B-Parabolic Equations

Ptashnik B. I., Tymkiv I. R.

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Abstract

We establish conditions for the well-posedness of a problem for one class of parabolic equations with the Bessel operator in one of the space variables in a bounded domain with multipoint conditions in the time variable and some boundary conditions in the space coordinates. A solution of the problem is constructed in the form of a series in a system of orthogonal functions. We prove a metric theorem on lower bounds for the small denominators appearing in the solution of the problem.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 3, pp 463-477.

Citation Example: Ptashnik B. I., Tymkiv I. R. Multipoint Problem for B-Parabolic Equations // Ukr. Mat. Zh. - 2013. - 65, № 3. - pp. 418-429.

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