scholarly journals Asymptotics of the solution to the boundary-value problem when the limit equation has an irregular singular point

2019 ◽  
Vol 29 (3) ◽  
pp. 332-340
Author(s):  
K.G. Kozhobekov ◽  
◽  
D.A. Tursunov ◽  
◽  
Keyword(s):  
Singular Point ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Limit Equation ◽  
Irregular Singular Point

scholarly journals Spectral analysis for differential operators with singularities

2004 ◽  
Vol 2004 (2) ◽  
pp. 165-182 ◽  
Author(s):  
Vjacheslav Anatoljevich Yurko
Keyword(s):  
Inverse Problem ◽  
Spectral Analysis ◽  
Singular Point ◽  
Boundary Value Problem ◽  
Differential Operators ◽  
Finite Interval ◽  
Boundary Value ◽  
Spectral Characteristics ◽  
Second Order Differential Equations ◽  
Associated Functions

Nonselfadjoint boundary value problems for second-order differential equations on a finite interval with nonintegrable singularities inside the interval are considered under additional sewing conditions for solutions at the singular point. We study properties of the spectrum, prove the completeness of eigen- and associated functions, and investigate the inverse problem of recovering the boundary value problem from its spectral characteristics.

scholarly journals On the weighted boundary value problem for systems of degenerate ordinary differential equations

2010 ◽  
Vol 51 ◽  
Author(s):  
Stasys Rutkauskas ◽  
Igor Saburov
Keyword(s):  
Singular Point ◽  
Boundary Value Problem ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Linear Equations ◽  
System Of Equations ◽  
The Matrix ◽  
Uniqueness Of The Solution ◽  
Weighted Boundary ◽  
Well Posed

A system of ordinary second order linear equations with a singular point is considered. The aim of this work is such that the system of eigenvectors of the matrix that couples the system of equations is not complete. That implies a matter of the statement of a weighted boundary value problem for this system. The well-posed boundary value problem is proposed in the article. The existence and uniqueness of the solution is proved.

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