A GENERAL INTEGRAL INEQUALITY ASSOCIATED WITH CERTAIN ORDINARY DIFFERENTIAL OPERATORS

1978 ◽  
Vol 2 (4) ◽  
pp. 479-494 ◽  
Author(s):  
W. N. Everitt
Keyword(s):  
Integral Inequality ◽  
Differential Operators ◽  
General Integral ◽  
Ordinary Differential Operators

An integral inequality with an application to ordinary differential operators

1978 ◽  
Vol 80 (1-2) ◽  
pp. 35-44 ◽  
Author(s):  
W. N. Everitt
Keyword(s):  
Integral Inequality ◽  
Differential Operators ◽  
Linear Manifold ◽  
Integral Inequalities ◽  
Compact Interval ◽  
Ordinary Differential Operators ◽  
Image Position

SynopsisThis paper is concerned with integral inequalities of the formwhere p, q are real-valued coefficients, with p and w non-negative, on the compact interval [a, b] and D is a linear manifold of functions so chosen that all three integrals are absolutely convergent.

A class of symmetric ordinary differential operators whose deficiency numbers differ by an integer†

1978 ◽  
Vol 82 (1-2) ◽  
pp. 117-134 ◽  
Author(s):  
Richard C. Gilbert
Keyword(s):  
Differential Operator ◽  
Positive Integer ◽  
Asymptotic Expansions ◽  
Differential Operators ◽  
Ordinary Differential Operator ◽  
Ordinary Differential Operators ◽  
Half Axis ◽  
Complex Coefficients

SynopsisFormulas are determined for the deficiency numbers of a formally symmetric ordinary differential operator with complex coefficients which have asymptotic expansions of a prescribed type on a half-axis. An implication of these formulas is that for any given positive integer there exists a formally symmetric ordinary differential operator whose deficiency numbers differ by that positive integer.

Sign in / Sign up

Export Citation Format

Share Document