scholarly journals On a Two-point Boundary Value Problem for Third-order Linear Functional Differential Equations. Part I.

2012 ◽  
Vol 1 (1) ◽  
pp. 57-78 ◽  
Author(s):  
Robert Hakl
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Linear Functional ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Point Boundary ◽  
Third Order ◽  
Order Linear ◽  
Functional Differential

scholarly journals On a Class of Functional Differential Equations with Symmetries

Symmetry ◽  
2019 ◽  
Vol 11 (12) ◽  
pp. 1456 ◽  
Author(s):  
Nataliya Dilna ◽  
Michal Fečkan ◽  
András Rontó
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Symmetric Solution ◽  
Linear Functional ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Point Boundary ◽  
Bounded Interval ◽  
Functional Differential

It is shown that a class of symmetric solutions of scalar non-linear functional differential equations can be investigated by using the theory of boundary value problems. We reduce the question to a two-point boundary value problem on a bounded interval and present several conditions ensuring the existence of a unique symmetric solution.

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.

A two point boundary value problem for neutral functional differential equations

1983 ◽  
Vol 94 (3-4) ◽  
pp. 331-338
Author(s):  
Y. G. Sficas ◽  
S. K. Ntouyas
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Shooting Method ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Point Boundary ◽  
Neutral Functional Differential Equations ◽  
Functional Differential ◽  
Image Position

SynopsisThis paper is concerned with the existence of solutions of a two point boundary value problem for neutral functional differential equations. We consider the problemwhere M and N are n × n matrices. This is examined by using the “shooting method”. Also, an example is given to illustrate how our result can be applied to yield the existence of solutions of a periodic boundary value problem.

Sign in / Sign up

Export Citation Format

Share Document