A multipoint problem for partial integro-differential equations

  • P. B. Vasylyshyn
  • B. I. Ptashnik

Abstract

We investigate a multipoint problem for a linear typeless partial differential operator with variable coefficients that is perturbed by a nonlinear integro-differential term. We establish conditions for the unique existence of a solution. We prove metric theorems on lower bounds of small denominators that arise in the course of investigation of the problem of solvability.
Published
25.09.1998
How to Cite
VasylyshynP. B., and PtashnikB. I. “A Multipoint Problem for Partial Integro-Differential Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 50, no. 9, Sept. 1998, pp. 1155–1168, https://umj.imath.kiev.ua/index.php/umj/article/view/4832.
Section
Research articles