The General Differential Operators Generated by a Quasi-Differential Expressions with their Interior Singular Points
Serdica Mathematical Journal, Tome 25 (1999) no. 3, pp. 207-240
Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library
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.
Keywords:
Quasi-Differential Expressions, Regular and Singular End-Points, Regularly Solvable Operators, Hilbert Space, Boundary Conditions
@article{SMJ2_1999_25_3_a2,
author = {El-sayed Ibrahim, Sobhy},
title = {The {General} {Differential} {Operators} {Generated} by a {Quasi-Differential} {Expressions} with their {Interior} {Singular} {Points}},
journal = {Serdica Mathematical Journal},
pages = {207--240},
year = {1999},
volume = {25},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_1999_25_3_a2/}
}
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 SP - 207 EP - 240 VL - 25 IS - 3 UR - http://geodesic.mathdoc.fr/item/SMJ2_1999_25_3_a2/ LA - en ID - SMJ2_1999_25_3_a2 ER -
%0 Journal Article %A El-sayed Ibrahim, Sobhy %T The General Differential Operators Generated by a Quasi-Differential Expressions with their Interior Singular Points %J Serdica Mathematical Journal %D 1999 %P 207-240 %V 25 %N 3 %U http://geodesic.mathdoc.fr/item/SMJ2_1999_25_3_a2/ %G en %F SMJ2_1999_25_3_a2
El-sayed Ibrahim, Sobhy. The General Differential Operators Generated by a Quasi-Differential Expressions with their Interior Singular Points. Serdica Mathematical Journal, Tome 25 (1999) no. 3, pp. 207-240. http://geodesic.mathdoc.fr/item/SMJ2_1999_25_3_a2/