Ordinary and generalized Green's functions for the second order discrete nonlocal problems

DOI10.1186/s13661-015-0474-6zbMath1338.65198OpenAlexW2173015972WikidataQ59427277 ScholiaQ59427277MaRDI QIDQ284240

Gailė Paukštaitė, Artūras Štikonas

Publication date: 17 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0474-6

zbMATH Keywords

numerical exampleMoore-Penrose inversediscrete problemleast squares solutionnonlocal conditionsgeneralized Green's functionordinary Green's function

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Numerical solution of ill-posed problems involving ordinary differential equations (65L08)

Related Items (4)

Generalized Green's functions for \(m\)th-order discrete nonlocal problems ⋮ SPECTRUM CURVES FOR STURM–LIOUVILLE PROBLEM WITH INTEGRAL BOUNDARY CONDITION ⋮ ON SOLUTIONS OF BOUNDARY VALUE PROBLEM FOR FOURTH-ORDER BEAM EQUATIONS ⋮ GREEN’S MATRICES FOR FIRST ORDER DIFFERENTIAL SYSTEMS WITH NONLOCAL CONDITIONS∗

Uses Software

• Green

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Editorial: Nonlocal boundary value problems
• Green's function for discrete second-order problems with nonlocal boundary conditions
• A Green's function formulation of nonlocal finite-difference schemes for reaction-diffusion equations
• Generalized inverses. Theory and applications.
• Green's functions for discrete \(m\)th-order problems
• Generalized Green's functions for the second-order discrete problems with nonlocal conditions
• Stationary Problems with Two Additional Conditions and Formulae for Green's Functions
• POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS: A UNIFIED APPROACH
• A parabolic equation with nonlocal boundary conditions arising from electrochemistry
• The Generalized Green's Function For An nth Order Linear Differential Operator
• A survey on stationary problems, Green’s functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditions
• Generalized Green's Functions and the Effective Domain of Influence
• A boundary value problem in the theory of heat conduction with a nonclassical boundary condition
• The thermostat problem with a nonlocal nonlinear boundary condition
• Green’s Functions in the Theory of Ordinary Differential Equations

This page was built for publication: Ordinary and generalized Green's functions for the second order discrete nonlocal problems