scholarly journals Existence of solutions of boundary value problems for functional differential equations

1991 ◽  
Vol 14 (3) ◽  
pp. 509-516 ◽  
Author(s):  
S. K. Ntouyas ◽  
P. Ch. Tsamatos
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Degree Theory ◽  
Functional Differential

In this paper, using a simple and classical application of the Leray-Schauder degree theory, we study the existence of solutions of the following boundary value problem for functional differential equationsx″(t)+f(t,xt,x′(t))=0,   t∈[0,T]x0+αx′(0)=hx(T)+βx′(T)=ηwheref∈C([0,T]×Cr×ℝn,ℝn),h∈Cr,η∈ℝnandα,β, are real constants.

scholarly journals Initial and boundary value problems for partial functional differential equations

1997 ◽  
Vol 10 (2) ◽  
pp. 157-168
Author(s):  
S. K. Ntouyas ◽  
P. Ch. Tsamatos
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Partial Functional Differential Equations ◽  
Point Analysis ◽  
Functional Differential

In this paper we study the existence of solutions to initial and boundary value problems of partial functional differential equations via a fixed-point analysis approach. Using the topological transversality theorem we derive conditions under which an initial or a boundary value problem has a solution.

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.

On Singular Boundary Value Problems for Functional Differential Equations of Higher Order

2001 ◽  
Vol 8 (4) ◽  
pp. 791-814
Author(s):  
I. Kiguradze ◽  
B. Půža ◽  
I. P. Stavroulakis
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Singular Boundary ◽  
Dimensional Vector ◽  
Singular Boundary Value Problems ◽  
Functional Differential

Abstract Sufficient conditions are established for the solvability of the boundary value problem 𝑥(𝑛) (𝑡) = 𝑓(𝑥)(𝑡), ℎ𝑖(𝑥) = 0 (𝑖 = 1, . . . , 𝑛), where 𝑓 is an operator (ℎ𝑖 (𝑖 = 1, . . . , 𝑛) are operators) acting from some subspace of the space of (𝑛 – 1)-times differentiable on the interval ]𝑎, 𝑏[ 𝑚-dimensional vector functions into the space of locally integrable on ]𝑎, 𝑏[ 𝑚-dimensional vector functions (into the space ).

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.

ON THE CONSTRUCTION OF A CLASS OF COMPUTABLE OPERATORS

2021 ◽  
Vol 28 (28) ◽  
pp. 51-72
Author(s):  
A. RUMYANTSEV RUMYANTSEV
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Linear Boundary ◽  
Constructive Approach ◽  
Functional Differential ◽  
Computable Operators

Within the framework of a constructive approach to the study of linear boundary value problems for functional differential equations, a way for constructing one class of so-called computable operators is proposed.

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