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

Serdica Mathematical Journal (1999)

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

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topEl-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 -

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