مشخصات پژوهش

صفحه نخست /On Recovering ...
عنوان On Recovering Sturm--Liouville-Type Operator with Delay and Jump Conditions
نوع پژوهش مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها Differential operators with delay, Inverse spectral problems, Discontinuity boundary conditions, Integral equations
چکیده . In this manuscript, the second order differential operators with constant delay and transmission boundary conditions are studied. The asymptotic forms of the characteristic functions and eigenvalues of the operators are obtained. Therefore, an inverse spectral problem of recovering the operators using the spectra of two different Dirichlet-Dirichlet and Dirichlet-Neumann problems, is investigated. For this purpose, to prove the uniqueness of the potential, the integral equations of the potential function are formulated and then utilized. Indirectly, by calculating the coefficients of Fourier series, the potential function is reconstructed.
پژوهشگران محمد شهریاری (نفر اول)، ولادیمر ولادیچیک (نفر دوم)