scholarly journals L2-Perturbation of a Linear Delay Differential Equation

1995 ◽  
Vol 195 (2) ◽  
pp. 415-427 ◽  
Author(s):  
I. Gyori ◽  
M. Pituk
Keyword(s):  
Differential Equation ◽  
Delay Differential Equation ◽  
Linear Delay ◽  
Delay Differential

scholarly journals New Oscillation and Nonoscillation Criteria for a Class of Linear Delay Differential Equation

2019 ◽  
Vol 8 (10) ◽  
pp. 308-313
Keyword(s):  
Differential Equation ◽  
Continuous Function ◽  
Delay Differential Equation ◽  
Sufficient Condition ◽  
First Order ◽  
Linear Delay ◽  
Piecewise Continuous ◽  
Delay Differential ◽  
Oscillation And Nonoscillation Criteria ◽  
Oscillation And Nonoscillation

In this article the authors established sufficient condition for the first order delay differential equation in the form , ( ) where , = and is a non negative piecewise continuous function. Some interesting examples are provided to illustrate the results. Keywords: Oscillation, delay differential equation and bounded. AMS Subject Classification 2010: 39A10 and 39A12.

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.

A sharp oscillation criterion for a linear delay differential equation

2019 ◽  
Vol 93 ◽  
pp. 58-65 ◽  
Author(s):  
Ábel Garab ◽  
Mihály Pituk ◽  
Ioannis P. Stavroulakis
Keyword(s):  
Differential Equation ◽  
Delay Differential Equation ◽  
Oscillation Criterion ◽  
Linear Delay ◽  
Delay Differential

scholarly journals Oscillatory results for second-order noncanonical delay differential equations

2019 ◽  
Vol 39 (4) ◽  
pp. 483-495 ◽  
Author(s):  
Jozef Džurina ◽  
Irena Jadlovská ◽  
Ioannis P. Stavroulakis
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Positive Solutions ◽  
Delay Differential Equation ◽  
Delay Differential Equations ◽  
Second Order ◽  
Linear Delay ◽  
Delay Differential

The main purpose of this paper is to improve recent oscillation results for the second-order half-linear delay differential equation \[\left(r(t)\left(y'(t)\right)^\gamma\right)'+q(t)y^\gamma(\tau(t))= 0, \quad t\geq t_0,\] under the condition \[\int_{t_0}^{\infty}\frac{\text{d} t}{r^{1/\gamma}(t)} \lt \infty.\] Our approach is essentially based on establishing sharper estimates for positive solutions of the studied equation than those used in known works. Two examples illustrating the results are given.

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