Corrigendum to “Two-point boundary value problems associated to functional differential equations of even order solved by iterated splines” [Appl. Numer. Math. 110 (2016) 128–147]

2021 ◽  
Vol 165 ◽  
pp. 620-621
Author(s):  
Alexandru Mihai Bica
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Point Boundary ◽  
Even Order ◽  
Functional Differential ◽  
Numer Math

scholarly journals On Nonseparated Three-Point Boundary Value Problems for Linear Functional Differential Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-22 ◽  
Author(s):  
A. Rontó ◽  
M. Rontó
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Linear Functional ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Special Kind ◽  
Successive Approximations ◽  
Point Problem ◽  
Point Boundary ◽  
Functional Differential

For a system of linear functional differential equations, we consider a three-point problem with nonseparated boundary conditions determined by singular matrices. We show that, to investigate such a problem, it is often useful to reduce it to a parametric family of two-point boundary value problems for a suitably perturbed differential system. The auxiliary parametrised two-point problems are then studied by a method based upon a special kind of successive approximations constructed explicitly, whereas the values of the parameters that correspond to solutions of the original problem are found from certain numerical determining equations. We prove the uniform convergence of the approximations and establish some properties of the limit and determining functions.

Multi-point boundary value problems for linear functional-differential equations

2017 ◽  
Vol 24 (2) ◽  
pp. 193-206
Author(s):  
Alexander Domoshnitsky ◽  
Robert Hakl ◽  
Bedřich Půža
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Linear Functional ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Differential Inequalities ◽  
Point Boundary ◽  
Functional Differential

AbstractEfficient conditions guaranteeing the solvability of multi-point boundary value problems for linear functional-differential equations are established in this paper. The results are proved using the theorems on functional-differential inequalities.

Nonlinear Three-Point Boundary Value Problems for a Class of Impulsive Functional Differential Equations

2009 ◽  
Vol 16 (4) ◽  
pp. 617-628
Author(s):  
Guoping Chen ◽  
Jianhua Shen
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Upper And Lower Solutions ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Lower Solution ◽  
Point Boundary ◽  
Functional Differential ◽  
Extreme Solutions

Abstract This paper is concerned with the existence of extreme solutions of nonlinear three-point boundary value problems for a class of first order impulsive functional differential equations. In the presence of a lower solution α and an upper solution β with the classical condition α ≤ β or the reversed ordering condition β ≤ α, some sufficient conditions for the existence of extreme solutions are obtained by using the method of upper and lower solutions coupled with the monotone iterative technique.

Sign in / Sign up

Export Citation Format

Share Document