Existence and uniqueness of periodic solutions for a delay differential equation with piecewise constant arguments

2009 ◽  
pp. 1-12 ◽  
Author(s):  
Haihua Liang ◽  
Gen-Qiang Wang
Keyword(s):  
Differential Equation ◽  
Periodic Solutions ◽  
Delay Differential Equation ◽  
Existence And Uniqueness ◽  
Piecewise Constant Arguments ◽  
Piecewise Constant ◽  
Delay Differential

Periodic solutions of a singularly perturbed delay differential equation

2008 ◽  
Vol 237 (24) ◽  
pp. 3307-3321 ◽  
Author(s):  
Mohit H. Adhikari ◽  
Evangelos A. Coutsias ◽  
John K. McIver
Keyword(s):  
Differential Equation ◽  
Periodic Solutions ◽  
Delay Differential Equation ◽  
Singularly Perturbed ◽  
Delay Differential

scholarly journals Existence and Uniqueness of Periodic Solutions for a Second-Order Nonlinear Differential Equation with Piecewise Constant Argument

2009 ◽  
Vol 2009 ◽  
pp. 1-14 ◽  
Author(s):  
Gen-qiang Wang ◽  
Sui Sun Cheng
Keyword(s):  
Differential Equation ◽  
Periodic Solution ◽  
Periodic Solutions ◽  
Nonlinear Differential Equation ◽  
Existence And Uniqueness ◽  
Second Order ◽  
Piecewise Constant ◽  
Piecewise Constant Argument ◽  
Order Nonlinear Differential Equation ◽  
Constant Argument

Based on a continuation theorem of Mawhin, a unique periodic solution is found for a second-order nonlinear differential equation with piecewise constant argument.

scholarly journals Steklov problem of the first class for a fractional order delay differential equation

2021 ◽  
pp. 30-37
Author(s):  
М.Г. Мажгихова
Keyword(s):  
Differential Equation ◽  
Green Function ◽  
Delay Differential Equation ◽  
Existence And Uniqueness ◽  
Function Method ◽  
Existence And Uniqueness Theorem ◽  
Green Function Method ◽  
Steklov Problem ◽  
Linear Delay ◽  
Delay Differential

Методом функции Грина получено решение задачи Стеклова первого класса для линейного уравнения с дробной производной Герасимова-Капуто с запаздывающим аргументом. Доказана теорема существования и единственности задачи. The solution to the Steklov problem with conditions of the first class for a linear delay differential equation with a Gerasimov-Caputo fractional derivative is obtained by Green function method. The existence and uniqueness theorem to the problem is proved.

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