Weekly seminar on November 25, 2015, 10.00 will feature a report by doctor of mathematical sciences, Ilham Aliyev, Senior scientific researcher department of “Equation of Mathematical Physics”, entitled “Investigation of nonregular differential operators with a spectral parametr”.

We will talk about different properties of a differential operator with nonlocal boundary conditions for differential equations. Problems of estimation of the solution of the corresponding nonhomogeneous equation are studied and noncoersive estimations for the resolvent of the operator are obtained when the equation contains a spectral parameter. Such problems are usually called Bitsadze-Samarsky type problems or problems with nonlocal boundary conditions. In particular, integral type boundary problems are studied. Such problems are investigated for ordinary differential equations, partial differential equations and operator differential equations. Comparisons with published works in this field are shown.