Kraštinių uždavinių su įvairių tipų nelokaliosiomis sąlygomis tyrimas ir skaitinė analizė

Abstract

In this disertation nonlocal boundary problems are analysed. In the chapters 1, 2 and 3 the Sturm-Liouville problems with nonlocal integral and two-point boundary conditons are analysed. We investigate how the spectrums of these problems depend on the boundary condition parameters. The chapter 4 of the dissertation investigates the stationary problem with nonlocal conditions. The stability and convergence in energy norm of finite difference schemes that approximates stationary problem with various types nonlocal conditons are investigated. In the chapter 5 finding of the solution of modular parabolic problem with one nonlocal boundary condition is reduced to solution of second type Volterra integral equation.