scholarly journals Infinite integral conditions for oscilation of first order linear delay differential equations with positive and negative coefficients

2019 ◽  
Vol 11 (2) ◽  
pp. 186
Author(s):  
A. Tahir ◽  
Y. Haruna
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Integral Conditions ◽  
Order Linear ◽  
First Order ◽  
Positive And Negative Coefficients ◽  
Linear Delay ◽  
Infinite Integral ◽  
Delay Differential

scholarly journals Oscillations of First Order Linear Delay Differential Equations with positive and negative coefficients

2011 ◽  
Vol 8 (3) ◽  
pp. 806-809
Author(s):  
Baghdad Science Journal
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Sufficient Conditions ◽  
Oscillation Criteria ◽  
Order Linear ◽  
First Order ◽  
Positive And Negative Coefficients ◽  
All Solutions ◽  
Linear Delay ◽  
Delay Differential

Oscillation criteria are obtained for all solutions of the first-order linear delay differential equations with positive and negative coefficients where we established some sufficient conditions so that every solution of (1.1) oscillate. This paper generalized the results in [11]. Some examples are considered to illustrate our main results.

An Oscillation Criterion for First Order Linear Delay Differential Equations

1998 ◽  
Vol 41 (2) ◽  
pp. 207-213 ◽  
Author(s):  
CH. G. Philos ◽  
Y. G. Sficas
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Delay Differential Equation ◽  
Delay Differential Equations ◽  
Oscillation Criterion ◽  
Order Linear ◽  
First Order ◽  
Linear Delay ◽  
Delay Differential

AbstractA new oscillation criterion is given for the delay differential equation , where and the function T defined by is increasing and such that . This criterion concerns the case where .

scholarly journals Explicit values of the oscillation bounds for linear delay differential equations with monotone argument

2021 ◽  
Author(s):  
Mihály Pituk ◽  
Ioannis P. Stavroulakis ◽  
John Ioannis Stavroulakis
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Oscillation Theory ◽  
Order Linear ◽  
The Real ◽  
First Order ◽  
Linear Delay ◽  
Long Time ◽  
Delay Differential

The problem of finding the oscillation bounds for first-order linear delay differential equations has been in the focus of the oscillation theory for a long time. Although numerous estimates for the oscillation bounds are available in the literature, their explicit values were not known. In this paper, we give the oscillation bounds explicitly in terms of the real branches of the Lambert [Formula: see text] function.

Asymptotic behaviour, nonoscillation and stability in periodic first-order linear delay differential equations

1998 ◽  
Vol 128 (6) ◽  
pp. 1371-1387 ◽  
Author(s):  
Ch. G. Philos
Keyword(s):  
Differential Equations ◽  
Asymptotic Behaviour ◽  
Characteristic Equation ◽  
Trivial Solution ◽  
Delay Differential Equations ◽  
Order Linear ◽  
First Order ◽  
Linear Delay ◽  
The Stability ◽  
Delay Differential

First-order scalar linear delay differential equations with periodic coefficients and constant delays are considered, where the coefficients have a common period and the delays are multiples of this period. A basic asymptotic criterion is given. Moreover, some results on the nonoscillation and on the stability of the trivial solution are obtained. An equation, which is in a sense the characteristic equation, plays an important role in establishing the results of the paper.

scholarly journals Oscillation of Nonlinear First Order Neutral Differential Equations

2007 ◽  
Vol 4 (3) ◽  
pp. 485-490
Author(s):  
Baghdad Science Journal
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Integral Conditions ◽  
Neutral Delay ◽  
Neutral Differential Equations ◽  
First Order ◽  
All Solutions ◽  
Neutral Delay Differential Equations ◽  
Delay Differential

In this paper, the author established some new integral conditions for the oscillation of all solutions of nonlinear first order neutral delay differential equations. Examples are inserted to illustrate the results.

Oscillations of second order linear delay differential equations

1988 ◽  
Vol 27 (1-3) ◽  
pp. 109-123 ◽  
Author(s):  
M.R.S. Kulenvić ◽  
G. Ladas ◽  
Y.G. Sficas
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Second Order ◽  
Order Linear ◽  
Linear Delay ◽  
Delay Differential
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