RUS  ENG
Full version
JOURNALS // Mathematical notes of NEFU // Archive

Mathematical notes of NEFU, 2016 Volume 23, Issue 4, Pages 19–30 (Mi svfu36)

Mathematics

On Fredholm solvability of Vragov boundary value problem for a mixed even-order equation

I. E. Egorov

M. K. Ammosov North-Eastern Federal University, Research Institute of Mathematics, Kulakovskii Street, 48, Yakutsk 677000, Russia

Abstract: We consider the boundary value problem of V. N. Vragov for mixed type equations of even order with elliptic operator in space variables. We prove the generalized solvability, dense solvability, uniqueness of generalized solutions and Fredholm solvability of the boundary value problem in the corresponding Sobolev spaces.

Keywords: mixed type equation, Fredholm solvability, boundary value problem, generalized solution, inequality, evaluation, operator equation.

UDC: 517.956

Received: 15.11.2016



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024