Title of article :
The determinants of fourth order dissipative operators with transmission conditions
Author/Authors :
Zhang، نويسنده , , Xin-yan and Sun، نويسنده , , Jiong، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2014
Abstract :
In this paper, discontinuous non-self-adjoint differential operators in Weylʼs limit circle are studied. We give the determinant of perturbation connected with the dissipative operator L generated by fourth order differential expression in L 2 ( I ) , where discontinuity of operator is dealt with transmission conditions. We obtain the Greenʼs function, then, using characteristic determinant, we prove the completeness of the system of eigenfunctions and associated functions of this dissipative operator.
Keywords :
Dissipative operators , Characteristic determinant , Transmission conditions , Completeness
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications