MULTIPOINT PROBLEM FOR PSEUDODIFFERENTIAL EQUATIONS

Authors

  • Iryna Klyus National Aviation University
  • Pavlo Vasylyshyn Precarpathian National University named after Vasyl Stefanyk, Ivano-Frankivsk
  • Valentyna Konovaliuk National Aviation University

DOI:

https://doi.org/10.18372/2306-1472.64.9039

Keywords:

differential equations, multipoint conditions, pseudodifferential operators, small denominators

Abstract

Correctness of the problem with multipoint conditions in time variable and frequency of the spatial coordinates for the partial differential, equations, not solved with respect to the highest derivative, with pseudodifferential operators is investigated. The conditions of existence and uniqueness of the problem solution, metric theorems on lower bounds of small denominators arising in the construction of the solution of the problem are proved.

Author Biographies

Iryna Klyus, National Aviation University

Klyus Iryna. PhD. Associate Professor.
National Aviation University, Kyiv, Ukraine.
Education: Drogobych Ivan Franko State Pedagogical Institute (1993).
Research area: differential equations.

Pavlo Vasylyshyn, Precarpathian National University named after Vasyl Stefanyk, Ivano-Frankivsk

Vasylyshyn Pavlo. PhD. Associate Professor.
Precarpathian National University named after Vasyl Stefanyk, Ivano-Frankivsk, Ukraine.
Education: Precarpathian University named after Vasyl Stefanyk , Ivano-Frankivsk, Ukraine (1993).
Research area: Differential equations.

Valentyna Konovaliuk, National Aviation University

Konovaliuk Valentyna. PhD. Associate Professor.
National Aviation University, Kyiv, Ukraine.
Education: Vinnytsa State Pedagogical Institute, Vinnytsa, Ukraine (1970).
Research area: Theory of probability and mathematical statistics, semi-Markovian processes.

References

Ptashnyk B.I. Incorrect boundary value problems for differential equations. – K.: Scientific thought, 1984. – 264p.

Klyus I.S., Ptashnyk B.I. Multipoint problem with complex coefficients for partial differential equations not solved as to the highest derivative // Math. methods and physic.- mechanic. fields. – 1998. – 41, №4. – P. 83–88.

Klyus I. S., Ptashnyk B.I. Multipoint problem for partial differential equations with constant coefficients not solved as to the highest derivative // Bulletin of the state. Univ. "Lviv Polytechnic". Applied Mathematics.-1998. – 1, №337. – P. 112 – 115.

Klyus I.S., Ptashnyk B.I. Multipoint problem for partial differential equations not solved as to the highest derivative // Ukr. Math. Journ. – 1999. – 51, №12. – P. 1604–1613.

Published

29-09-2015

How to Cite

Klyus, I., Vasylyshyn, P., & Konovaliuk, V. (2015). MULTIPOINT PROBLEM FOR PSEUDODIFFERENTIAL EQUATIONS. Proceedings of National Aviation University, 64(3), 115–119. https://doi.org/10.18372/2306-1472.64.9039

Issue

Section

INFORMATION TECHNOLOGY