scholarly journals On the Basis Property of the Root Functions of Sturm–Liouville Operators with General Regular Boundary Conditions

2015 ◽  
Vol 15 (3) ◽  
pp. 511-526
Author(s):  
Cemile Nur ◽  
O. A. Veliev
Keyword(s):  
Boundary Conditions ◽  
Basis Property ◽  
Regular Boundary ◽  
Root Functions ◽  
Sturm Liouville ◽  
Regular Boundary Conditions ◽  
Liouville Operators

scholarly journals On Basis Property of Root Functions For a Class Second Order Differential Operator

2020 ◽  
Vol 5 (1) ◽  
pp. 361-368
Author(s):  
Volkan Ala ◽  
Khanlar R. Mamedov
Keyword(s):  
Differential Operator ◽  
Boundary Conditions ◽  
Spectral Parameter ◽  
Liouville Equation ◽  
Basis Property ◽  
Second Order ◽  
Order Differential Operator ◽  
Root Functions ◽  
Sturm Liouville

AbstractIn this work we investigate the completeness, minimality and basis properties of the eigenfunctions of one class discontinuous Sturm-Liouville equation with a spectral parameter in boundary conditions.

scholarly journals Boundary value problems with regular singularities and singular boundary conditions

2005 ◽  
Vol 2005 (9) ◽  
pp. 1481-1495 ◽  
Author(s):  
G. Freiling ◽  
V. Yurko
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Turning Points ◽  
Singular Boundary ◽  
Root Functions ◽  
Sturm Liouville ◽  
System Of Root Functions ◽  
Liouville Operators

Singular boundary conditions are formulated for nonselfadjoint Sturm-Liouville operators with singularities and turning points. For boundary value problems with singular boundary conditions, properties of the spectrum are studied and the completeness of the system of root functions is proved.

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