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Ukrainian Mathematical Journal

, Volume 55, Issue 3, pp 481–497 | Cite as

Multipoint Problem with Multiple Nodes for Partial Differential Equations

  • B. I. Ptashnyk
  • M. M. Symotyuk
Article

Abstract

We establish conditions for the existence and uniqueness of a solution of a problem with multipoint conditions with respect to a selected variable t (in the case of multiple nodes) and periodic conditions with respect to x1,..., xp for a nonisotropic partial differential equation with constant complex coefficients. We prove metric theorems on lower bounds for small denominators appearing in the course of the solution of this problem.

Keywords

Differential Equation Partial Differential Equation Lower Bound Periodic Condition Multiple Node 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • B. I. Ptashnyk
    • 1
  • M. M. Symotyuk
    • 1
  1. 1.Institute of Applied Problems in Mechanics and MathematicsUkrainian Academy of SciencesLviv

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