# The General Differential Operators Generated by a Quasi-Differential Expressions with their Interior Singular Points

• Volume: 25, Issue: 3, page 207-240
• ISSN: 1310-6600

top

## Abstract

top
The general ordinary quasi-differential expression M of n-th order with complex coefficients and its formal adjoint M + are considered over a regoin (a, b) on the real line, −∞ ≤ a < b ≤ ∞, on which the operator may have a finite number of singular points. By considering M over various subintervals on which singularities occur only at the ends, restrictions of the maximal operator generated by M in L2|w (a, b) which are regularly solvable with respect to the minimal operators T0 (M ) and T0 (M + ). In addition to direct sums of regularly solvable operators defined on the separate subintervals, there are other regularly solvable restrications of the maximal operator which involve linking the various intervals together in interface like style.

## How to cite

top

El-sayed Ibrahim, Sobhy. "The General Differential Operators Generated by a Quasi-Differential Expressions with their Interior Singular Points." Serdica Mathematical Journal 25.3 (1999): 207-240. <http://eudml.org/doc/11515>.

@article{El1999,
abstract = {The general ordinary quasi-differential expression M of n-th order with complex coefficients and its formal adjoint M + are considered over a regoin (a, b) on the real line, −∞ ≤ a < b ≤ ∞, on which the operator may have a finite number of singular points. By considering M over various subintervals on which singularities occur only at the ends, restrictions of the maximal operator generated by M in L2|w (a, b) which are regularly solvable with respect to the minimal operators T0 (M ) and T0 (M + ). In addition to direct sums of regularly solvable operators defined on the separate subintervals, there are other regularly solvable restrications of the maximal operator which involve linking the various intervals together in interface like style.},
author = {El-sayed Ibrahim, Sobhy},
journal = {Serdica Mathematical Journal},
keywords = {Quasi-Differential Expressions; Regular and Singular End-Points; Regularly Solvable Operators; Hilbert Space; Boundary Conditions; quasi-differential expressions; regular and singular end- point; regularly solvable operators; Hilbert space; boundary conditions},
language = {eng},
number = {3},
pages = {207-240},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {The General Differential Operators Generated by a Quasi-Differential Expressions with their Interior Singular Points},
url = {http://eudml.org/doc/11515},
volume = {25},
year = {1999},
}

TY - JOUR
AU - El-sayed Ibrahim, Sobhy
TI - The General Differential Operators Generated by a Quasi-Differential Expressions with their Interior Singular Points
JO - Serdica Mathematical Journal
PY - 1999
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 25
IS - 3
SP - 207
EP - 240
AB - The general ordinary quasi-differential expression M of n-th order with complex coefficients and its formal adjoint M + are considered over a regoin (a, b) on the real line, −∞ ≤ a < b ≤ ∞, on which the operator may have a finite number of singular points. By considering M over various subintervals on which singularities occur only at the ends, restrictions of the maximal operator generated by M in L2|w (a, b) which are regularly solvable with respect to the minimal operators T0 (M ) and T0 (M + ). In addition to direct sums of regularly solvable operators defined on the separate subintervals, there are other regularly solvable restrications of the maximal operator which involve linking the various intervals together in interface like style.
LA - eng
KW - Quasi-Differential Expressions; Regular and Singular End-Points; Regularly Solvable Operators; Hilbert Space; Boundary Conditions; quasi-differential expressions; regular and singular end- point; regularly solvable operators; Hilbert space; boundary conditions
UR - http://eudml.org/doc/11515
ER -

## NotesEmbed?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.