Existence and uniqueness of global solution for abstract second order differential equations with state‐dependent delay

2022 ◽  
Author(s):  
Eduardo Hernández
Keyword(s):  
Differential Equations ◽  
Global Solution ◽  
Existence And Uniqueness ◽  
Second Order ◽  
Second Order Differential Equations ◽  
State Dependent ◽  
State Dependent Delay

On second order differential equations with state-dependent delay

2017 ◽  
Vol 97 (15) ◽  
pp. 2610-2617 ◽  
Author(s):  
Eduardo Hernández ◽  
Katia A. G. Azevedo ◽  
Donal O’Regan
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Second Order Differential Equations ◽  
State Dependent ◽  
State Dependent Delay

ON THE GLOBAL SOLUTION TO THE DIFFERENTIAL EQUATION FOR THE N-POINT CONFORMAL CORRELATOR

1989 ◽  
Vol 04 (25) ◽  
pp. 2483-2486
Author(s):  
A. ROY CHOWDHURY ◽  
SWAPNA ROY
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Global Solution ◽  
Correlation Functions ◽  
Global Solutions ◽  
Second Order ◽  
Second Order Differential Equations

We have obtained compact expressions for the global solutions of the second order differential equations for the n-point conformal correlation functions. These equations were initially deduced by Belavin, Polyakov and Zamolodchikov. The monodromy property of such solutions can be ascertained from these expressions very easily.

scholarly journals Existence and Uniqueness of Periodic Solutions for Second Order Differential Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Yuanhong Wei
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Periodic Solutions ◽  
Function Space ◽  
Point Theorem ◽  
Existence And Uniqueness ◽  
Second Order ◽  
Second Order Differential Equations

We study some second order ordinary differential equations. We establish the existence and uniqueness in some appropriate function space. By using Schauder’s fixed-point theorem, new results on the existence and uniqueness of periodic solutions are obtained.

scholarly journals Existence and Uniqueness of Homoclinic Solution for a Class of Nonlinear Second-Order Differential Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Lijuan Chen ◽  
Shiping Lu
Keyword(s):  
Differential Equations ◽  
Periodic Solutions ◽  
Homoclinic Orbit ◽  
Limit Point ◽  
Existence And Uniqueness ◽  
Homoclinic Solution ◽  
Second Order ◽  
Continuation Theorem ◽  
Mawhin’S Continuation Theorem ◽  
Second Order Differential Equations

The authors study the existence and uniqueness of a set with2kT-periodic solutions for a class of second-order differential equations by using Mawhin's continuation theorem and some analysis methods, and then a unique homoclinic orbit is obtained as a limit point of the above set of2kT-periodic solutions.

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