Cover Image

On differential operators with singularity and conditions of discontinuity inside an interval

We investigate boundary-value problems for differential equations with singularity and discontinuity conditions inside an interval. We describe properties of the spectrum, prove a theorem on the completeness of eigenfunctions and associated functions, and study the inverse spectral problem.

Saved in:

Bibliographic Details
Date:	2001
Main Authors:	Amirov, R. Kh., Yurko, V. A., Амиров, Р. Х., Юрко, В. А.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2001
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4364
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

On a System of Dirac Differential Equations with Discontinuity Conditions Inside an Interval
by: Amirov, R. Kh., et al.
Published: (2005)

О дифференциальных операторах с особенностью и условиями разрыва внутри интервала
by: Амиров, Р.Х., et al.
Published: (2001)

O системе дифференциальных уравнений Дирака с условиями разрыва внутри интервала
by: Амиров, Р.Х.
Published: (2005)

On impulsive Sturm - Liouville operators with singularity and spectral parameter in boundary conditions
by: Amirov, R. Kh., et al.
Published: (2012)

On impulsive Sturm–Liouville operators with singularity and spectral parameter in boundary conditions
by: Amirov, R.Kh., et al.
Published: (2012)

Spectral problem for discontinuous integro-differential operator
by: Keskin, B., et al.
Published: (2012)

On the Boundary Value Problem with the Operator in Boundary Conditions for the Operator-Differential Equation of Second Order with Discontinuous Coeficients
by: S. S. Mirzoev, et al.
Published: (2013)

On the Boundary Value Problem with the Operator in Boundary Conditions for the Operator-Differential Equation of Second Order with Discontinuous Coeficients
by: Mirzoev, S.S., et al.
Published: (2013)

Control of singular distributed parabolic systems with discontinuous nonlinearities
by: Pavlenko, V. N., et al.
Published: (1994)

Duration of stay inside an interval by the poisson process with a negative exponential component
by: Kadankova, T.
Published: (2006)

Asymptotics of solutions of discontinuous singularly perturbed boundary-value problems
by: Mel'nik, T. A., et al.
Published: (1999)

Характеристика цитокинового обмена у пациентов c ко−инфекцией ВИЧ/ХГС
by: Юрко, Е.В.
Published: (2014)

Singularly perturbed periodic and semiperiodic differential operators
by: Mikhailets, V. A., et al.
Published: (2007)

Asymptotics of a solution of a discontinuous singularly perturbed Cauchy problem
by: Mel'nik, T. A., et al.
Published: (1994)

About differentiability of solutions of differential equations system with discontinues right sides by initial condition
by: B. N. Pshenichnyj, et al.
Published: (1968)

On impulsive Sturm–Liouville operators with Coulomb potential and spectral parameter linearly contained in boundary conditions
by: Amirov, R. Kh., et al.
Published: (2010)

On self-conjugate operators generated nonhomogeneous elliptical problems with discontinuity boundary conditions and conditions of conjugacy
by: Nizhnik , L. P., et al.
Published: (1991)

Direct and inverse problems for the Dirac operator with a spectral parameter linearly contained in a boundary condition
by: Amirov, R. Kh., et al.
Published: (2009)

On solvability of variational inequalities with discontinuous semimonotone operators
by: Pavlenko, V. N., et al.
Published: (1993)

Singular perturbations of fractionally-differential operators on the circle
by: V. M. Molyboha
Published: (2015)

Singularly perturbed periodic and semiperiodic differential operators
by: Mikhailets, V.A., et al.
Published: (2007)

Existence Theorems for Equations with Noncoercive Discontinuous Operators
by: Vinokur, V. V., et al.
Published: (2002)

Periodic solutions of differential equations with discontinuous nonlinearity
by: I. L. Nyzhnyk
Published: (2016)

Interval Oscillation Criteria for Second-Order Nonlinear Differential Equations
by: Agarwal, P., et al.
Published: (2001)

On impulsive Sturm–Liouville operators with Coulomb potential and spectral parameter linearly contained in boundary conditions
by: Amirov, R. Kh., et al.
Published: (2010)

Rings of differential operators on singular generalized multi-cusp algebras
by: Bavula, Volodymyr V., et al.
Published: (2025)

Гібридні енергосистеми
by: Плаксін, С., et al.
Published: (2005)

Экспериментальная оценка температурного сдвига δ1c-кривой и хрупковязкого перехода конструкционных сталей и сварных соединений по результатам стандартных испытаний
by: Дядин, В.П., et al.
Published: (2011)

Approach of discontinuous functions by discontinuous splines on trapezes
by: O. M. Lytvyn, et al.
Published: (2011)

On the smoothness of solutions of differential equations with a discontinuous right-hand side
by: Akhmetov, M. U., et al.
Published: (1993)

On the structure of solutions of a system of singularly perturbed differential equations with nondiagonalizable limit operator
by: Bobochko, V. N., et al.
Published: (1998)

Multipoint Boundary Conditions for Differential Operators
by: Valitskii, Yu. N., et al.
Published: (2003)

Моделирование и оценка эксплуатационных характеристик шарошечных калибраторов в стволе наклонной скважины
by: Гасанов, Р.А., et al.
Published: (2007)

On the definition of singular bilinear forms and singular linear operators
by: Karwowski, W., et al.
Published: (1993)

Solvability of semilinear differential equations with singularity
by: Rutkas, A. G., et al.
Published: (2008)

ВПЛИВ ДИВЕРСИФІКАЦІЇ НА ВИКОРИСТАННЯ ПОТЕНЦІАЛУ АГРАРНИХ ПІДПРИЄМСТВ
by: Сітковська, А. О., et al.
Published: (2025)

Operator method in diffraction problem of waves of circular waveguide by the annular discontinuities
by: Ye. Kaliberda, et al.
Published: (2022)

OPERATOR METHOD IN DIFFRACTION PROBLEM OF WAVES OF CIRCULAR WAVEGUIDE BY THE ANNULAR DISCONTINUITIES
by: Kaliberda, M. E., et al.
Published: (2023)

OPERATOR METHOD IN THE SCALAR WAVE DIFFRACTION BY AXIALLY-SYMMETRIC DISCONTINUITIES IN THE SCREEN
by: Kaliberda, M. E., et al.
Published: (2018)

Operator Method in the Scalar Wave Diffraction by Axially-Symmetric Discontinuities in the Screen
by: M. E. Kaliberda, et al.
Published: (2018)