Title of article :
Solvability of a boundary value problem for second order differential-operator equations with a spectral parameter in both the equation and boundary conditions
Author/Authors :
Aliev, Bahram A. Institute of Mathematics and Mechanics, Baku, Azerbaijan , Kurbanova, Nargul K. Institute of Mathematics and Mechanics, Baku, Azerbaijan
Abstract :
In Hilbert space H we study noncoercive solvability of a boundary value problem for second
order elliptic differential equations with a spectral parameter in the equation and boundary conditions in
the case when in one of boundary conditions in addition to the spectral parameter there exists a linear
bounded operator in the principal part of the given condition
Keywords :
differential-operator equations , elliptic equations , spectral parameter , izomorfizm , noncoercive estimation
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
