An abstract interpolation problem and the extension theory of isometric operators

1997 ◽  
pp. 283-298 ◽  
Author(s):  
V. E. Katsnelson ◽  
A. Ya. Kheifets ◽  
P. M. Yuditskii
Keyword(s):  
Interpolation Problem ◽  
Extension Theory ◽  
Abstract Interpolation Problem

scholarly journals Regularization of an indefinite abstract interpolation problem with a quadratic constraint

2021 ◽  
pp. 475-490
Author(s):  
Santiago Gonzalez Zerbo ◽  
Alejandra Maestripieri ◽  
Francisco Martínez Pería
Keyword(s):  
Interpolation Problem ◽  
Quadratic Constraint ◽  
Abstract Interpolation Problem

Extension theory for symmetric operators and boundary value problems for differential equations

1989 ◽  
Vol 41 (10) ◽  
pp. 1117-1129 ◽  
Author(s):  
V. I. Gorbachuk ◽  
M. L. Gorbachuk ◽  
A. N. Kochubei
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Extension Theory ◽  
Symmetric Operators

scholarly journals Lidstone–Euler Second-Type Boundary Value Problems: Theoretical and Computational Tools

2021 ◽  
Vol 18 (5) ◽  
Author(s):  
Francesco Aldo Costabile ◽  
Maria Italia Gualtieri ◽  
Anna Napoli
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Existence And Uniqueness ◽  
Interpolation Problem ◽  
Boundary Value ◽  
Computational Tools ◽  
Numerical Examples ◽  
Odd Order ◽  
Uniqueness Of The Solution ◽  
Type Boundary

AbstractGeneral nonlinear high odd-order differential equations with Lidstone–Euler boundary conditions of second type are treated both theoretically and computationally. First, the associated interpolation problem is considered. Then, a theorem of existence and uniqueness of the solution to the Lidstone–Euler second-type boundary value problem is given. Finally, for a numerical solution, two different approaches are illustrated and some numerical examples are included to demonstrate the validity and applicability of the proposed algorithms.

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