A multipoint problem for partial integro-differential equations

Authors

  • 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

Issue

Section

Research articles

How to Cite

Vasylyshyn, P. B., and B. I. Ptashnik. “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.