Results 11 to 20 of about 50 (48)

On an even order neutral differential inequality

International Journal of Stochastic Analysis, Volume 16, Issue 3, Page 257-265, 2003., 2003
In this paper, we prove new results related to the nonexistence criteria for eventually positive solutions of certain even order neutral differential inequality with distributed deviating arguments.
Peiguang Wang, Lokenath Debnath
wiley   +1 more source

Nonautonomous differential equations of alternately retarded and advanced type

International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 10, Page 597-603, 2001., 2001
We obtain a solution formula of the differential equation x˙(t)+a(t)x(t)+b(t)x(g(t))=f(t). At the same time, we study its oscillation and asymptotic stability properties.
Qiong Meng, Jurang Yan
wiley   +1 more source

Oscillation of first order linear differential equations with several non-monotone delays

Open Mathematics, 2018
Consider the first-order linear differential equation with several retarded ...
Attia E.R., Benekas V., El-Morshedy H.A., Stavroulakis I.P.   +3 more
doaj   +1 more source

The fourth order strongly noncanonical operators

Open Mathematics, 2018
It is shown that the strongly noncanonical fourth order ...
Baculikova Blanka, Dzurina Jozef
doaj   +1 more source

Existence of Oscillatory Solutions for Second‐Order Functional Differential Equations With Time Delay

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
This paper investigates the existence of oscillatory behavior of solutions for the following second‐order delay differential equation rtΨx′t′+ptΨx′t+∑i=1mGit,xgit=qt,t≥t0. By using the Schauder–Tychonoff fixed‐point theorem and Ascoli–Arzelà theorem, sufficient conditions for the existence of oscillatory solutions are derived.
Ahmed Maher, Rasha O. A. Taie, Mona G. A. Alwaleedy, Seppo Hassi   +3 more
wiley   +1 more source

Nonoscillation, Asymptotic Properties and Stability of Second Order Delay Differential Equations [PDF]

, 2018
2010 Mathematics Subject Classification: 34K11, 34K20 ...
Domoshnitsky, Alexander
core  

Noncanonical general Emden–Fowler differential equations of neutral type: improved oscillatory properties and their applications

Demonstratio Mathematica
This work presents a study of the oscillatory behavior of solutions to a general class of neutral differential equations of second order. Our study considers the noncanonical case and constructs oscillation criteria using several approaches, including ...
Albalawi Wedad, Mofarreh Fatemah, Moaaz Osama   +2 more
doaj   +1 more source

Averaging method in optimal control problems for integro-differential equations

Open Mathematics
The averaging method is applied to the study of optimal control problems for systems of integro-differential equations with rapidly oscillating coefficients and a small parameter.
Lakhva Roksolana, Uteshova Roza, Stanzhytskyi Oleksandr, Mogylova Viktoria   +3 more
doaj   +1 more source

AVersatile Spectral Matrix Collocation Method for Tackling Bratu, Riccati, and Higher Order Linear and Nonlinear Differential Equations Containing Delay Variables

 This study presents a numerical matrix collocation method for solving Bratu equations, Riccati equations, and high-order linear/nonlinear differential equations with delay variables—all of which hold significant importance in the literature ...
Baykuş Savaşaneril, Nurcan, Çevik, Mehmet   +1 more
core   +1 more source

Oscillation criteria for third-order semi-canonical differential equations with unbounded neutral coefficients

In this paper, we investigate the oscillatory behavior of solutions to a class of third-order differential equations of the form Lz(t) + f (t)yβ (σ(t)) = 0, where Lz(t) = (p(t)(q(t)zt(t))t)t is a semi-canonical operator and z(t) = y(t) + g(t)y(τ (t ...
THANDAPANI, Ethiraju, SARANYA, Karunamurthy, TUNÇ, Ercan, PIRAMANANTHAM, Veeraraghavan   +3 more
core   +1 more source