On a periodic-type boundary value problem for first-order nonlinear functional differential equations

2002 ◽  
Vol 51 (3) ◽  
pp. 425-447 ◽  
Author(s):  
R. Hakl ◽  
A. Lomtatidze ◽  
J. S̆remr
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Nonlinear Functional ◽  
First Order ◽  
Functional Differential ◽  
Type Boundary

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.

Sign in / Sign up

Export Citation Format

Share Document