scholarly journals Minimality of the system of root functions of Sturm–Liouville problems with decreasing affine boundary conditions

2007 ◽  
Vol 109 (1) ◽  
pp. 147-162 ◽  
Author(s):  
Y. N. Aliyev
Keyword(s):  
Boundary Conditions ◽  
Root Functions ◽  
Sturm Liouville ◽  
System Of Root Functions

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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