Multipoint Problem for <i>B</i>-Parabolic Equations

  • B. I. Ptashnik
  • I. R. Tymkiv Iвано-Франк. нац. техн. ун-т нафти i газу

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.
Published
25.03.2013
How to Cite
Ptashnik, B. I., and I. R. Tymkiv. “Multipoint Problem for <i>B</I&gt;-Parabolic Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, no. 3, Mar. 2013, pp. 418-29, https://umj.imath.kiev.ua/index.php/umj/article/view/2428.
Section
Research articles