ordinary differential expression
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Comparing the Deficiency Indices of Powers Of r+r And rr+, Where r Is A Linear Ordinary Differential Expression

Proceedings of the Fifth International Colloquium on Differential Equations ◽

10.1515/9783112314029-014 ◽

1995 ◽

pp. 143-152

Keyword(s):

Differential Expression ◽

Deficiency Indices ◽

Ordinary Differential Expression

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The deficiency indices of T0(τ+) T0(τ), where τ is a linear ordinary differential expression

Journal of Differential Equations ◽

10.1016/0022-0396(92)90108-y ◽

1992 ◽

Vol 98 (1) ◽

pp. 125-142

Author(s):

Frank D Isaacs

Keyword(s):

Differential Expression ◽

Deficiency Indices ◽

Ordinary Differential Expression

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A singular spectral identity and inequality involving the Dirichlet integral of an ordinary differential expression

Czechoslovak Mathematical Journal ◽

10.21136/cmj.1982.101836 ◽

1982 ◽

Vol 32 (4) ◽

pp. 589-607

Author(s):

William Norrie Everitt ◽

S. D. Wray

Keyword(s):

Differential Expression ◽

Dirichlet Integral ◽

Spectral Identity ◽

Ordinary Differential Expression

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Eigenfunction expansions for a class of J-selfadjoint ordinary differential operators with boundary conditions containing the eigenvalue parameter

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s0308210500011951 ◽

1980 ◽

Vol 86 (1-2) ◽

pp. 1-27 ◽

Cited By ~ 25

Author(s):

Aalt Dijksma

Keyword(s):

Boundary Conditions ◽

Differential Expression ◽

Eigenfunction Expansion ◽

Differential Operators ◽

Real Interval ◽

Eigenfunction Expansions ◽

Selfadjoint Operators ◽

Ordinary Differential Operators ◽

Eigenvalue Parameter ◽

Ordinary Differential Expression

SynopsisIn provided with a J-innerproduct we characterize the J-selfadjoint operators generated by a symmetric ordinary differential expression on an open real interval ι. For a subclass of these operators we prove eigenfunction expansion results using Hilbertspace-techniques.

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