Regular Boundary Conditions for Ordinary Differential Operators

1968 ◽  
Vol 134 (2) ◽  
pp. 355 ◽  
Author(s):  
Stephen Salaff
Keyword(s):  
Boundary Conditions ◽  
Differential Operators ◽  
Regular Boundary ◽  
Ordinary Differential Operators ◽  
Regular Boundary Conditions

Semibounded Extensions of Singular Ordinary Differential Operators

1988 ◽  
Vol 31 (4) ◽  
pp. 432-438
Author(s):  
Allan M. Krall
Keyword(s):  
Differential Operator ◽  
Lower Bound ◽  
Boundary Conditions ◽  
Differential Operators ◽  
The Self ◽  
Limit Circle ◽  
Singular Differential Operator ◽  
Ordinary Differential Operators

AbstractThe self-adjoint extensions of the singular differential operator Ly = [(py’)’ + qy]/w, where p < 0, w > 0, q ≧ mw, are characterized under limit-circle conditions. It is shown that as long as the coefficients of certain boundary conditions define points which lie between two lines, the extension they help define has the same lower bound.

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