A topological principle and its application on a nonlinear two-point boundary value problem for functional differential equations

1987 ◽  
Vol 49 (1) ◽  
pp. 44-65 ◽  
Author(s):  
P. K. Palamides
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Point Boundary ◽  
Functional Differential ◽  
Topological Principle

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.

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.

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