RUS  ENG
Full version
JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2012 Issue 4(29), Pages 26–36 (Mi vsgtu1103)

This article is cited in 1 paper

Differential Equations

The problem with shift for the Bitsadze–Lykov equation

E. Yu. Arlanova

Samara State Technical University, Samara, Russia

Abstract: The Bitsadze-Lykov equation is considered. The problem with shift containing the Kober–Erdélyi and M. Saigo operators in boundary condition is set for this equation. The questions of uniqueness (ununiqueness) of this problem solution with different functions and constants in boundary condition are investigated. The number of theorems is formulated and proved.

Keywords: Bitsadze–Lykov equation, boundary value problem, Kober–Erdélyi operator, M. Saigo operator, Riemann–Liouville operator, existence and uniqueness of the problem solution.

UDC: 517.956.326

MSC: Primary 35L80; Secondary 35L20

Original article submitted 05/VII/2012
revision submitted – 19/XI/2012

DOI: 10.14498/vsgtu1103



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024