scholarly journals New solvability conditions for a nonlocal boundary-value problem for nonlinear functional differential equations

2008 ◽  
Vol 11 (3) ◽  
pp. 384-406 ◽  
Author(s):  
Z. Opluštil
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Value Problem ◽  
Solvability Conditions ◽  
Nonlinear Functional ◽  
Functional Differential

On nonlinear boundary value problems for higher order functional differential equations

2016 ◽  
Vol 23 (4) ◽  
pp. 537-550 ◽  
Author(s):  
Ivan Kiguradze ◽  
Zaza Sokhadze
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Nonlocal Boundary ◽  
Sufficient Conditions ◽  
Higher Order ◽  
Nonlinear Boundary Value Problems ◽  
Nonlinear Functional ◽  
Functional Differential

AbstractFor higher order nonlinear functional differential equations, sufficient conditions for the solvability and unique solvability of some nonlinear nonlocal boundary value problems are established.

Unique solvability of a non-linear non-local boundary-value problem for systems of non-linear functional differential equations

2010 ◽  
Vol 60 (3) ◽  
Author(s):  
N. Dilna ◽  
A. Ronto
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Unique Solvability ◽  
Linear Functional ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Nonlocal Boundary ◽  
Local Boundary ◽  
Non Linear ◽  
Functional Differential

AbstractGeneral conditions for the unique solvability of a non-linear nonlocal boundary-value problem for systems of non-linear functional differential equations are obtained.

On a boundary value problem on an infinite interval for nonlinear functional differential equations

2017 ◽  
Vol 24 (2) ◽  
pp. 217-225 ◽  
Author(s):  
Ivan Kiguradze ◽  
Zaza Sokhadze
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Volterra Operator ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Continuous Functions ◽  
Infinite Interval ◽  
Nonlinear Functional ◽  
Functional Differential

AbstractSufficient conditions are found for the solvability of the following boundary value problem:u^{(n)}(t)=f(u)(t),\qquad u^{(i-1)}(0)=\varphi_{i}(u^{(n-1)}(0))\quad(i=1,% \dots,n-1),\qquad\liminf_{t\to+\infty}\lvert u^{(n-2)}(t)|<+\infty,where {f\colon C^{n-1}(\mathbb{R}_{+})\to L_{\mathrm{loc}}(\mathbb{R}_{+})} is a continuous Volterra operator, and {\varphi_{i}\colon\mathbb{R}\to\mathbb{R}} ({i=1,\dots,n}) are continuous functions.

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