Results 1 to 10 of about 12,514,312 (273)

Oscillation Theorems for Nonlinear Differential Equations of Fourth-Order

open access: yesMathematics, 2020
We study the oscillatory behavior of a class of fourth-order differential equations and establish sufficient conditions for oscillation of a fourth-order differential equation with middle term.
Osama Moaaz   +3 more
doaj   +4 more sources

New Improved Results for Oscillation of Fourth-Order Neutral Differential Equations

open access: yesMathematics, 2021
In this study, a new oscillation criterion for the fourth-order neutral delay differential equation ruxu+puxδu‴α′+quxβϕu=0,u≥u0 is established. By introducing a Riccati substitution, we obtain a new criterion for oscillation without requiring the ...
Osama Moaaz   +4 more
doaj   +3 more sources

Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions

open access: yesEntropy, 2021
The objective of this paper is to study oscillation of fourth-order neutral differential equation. By using Riccati substitution and comparison technique, new oscillation conditions are obtained which insure that all solutions of the studied equation are
Ravi P. Agarwal   +2 more
doaj   +3 more sources

An Improved Relationship between the Solution and Its Corresponding Function in Fourth-Order Neutral Differential Equations and Its Applications

open access: yesMathematics, 2023
This work aims to derive new inequalities that improve the asymptotic and oscillatory properties of solutions to fourth-order neutral differential equations.
Osama Moaaz   +2 more
doaj   +3 more sources

Oscillation of Fourth-Order Functional Differential Equations with Distributed Delay

open access: yesAxioms, 2019
In this paper, the authors obtain some new sufficient conditions for the oscillation of all solutions of the fourth order delay differential equations.
Clemente Cesarano, Omar Bazighifan
doaj   +3 more sources

Differential inequality and non-oscillation of fourth order differential equation [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
The oscillatory theory of fourth order differential equations has not yet been developed well enough. Theresults are known only for the case when the coefficients of differential equations are power functions.
A.A. Kalybay, A.O. Baiarystanov
doaj   +2 more sources

Incorporating Fuzziness in the Traditional Runge–Kutta Cash–Karp Method and Its Applications to Solve Autonomous and Non-Autonomous Fuzzy Differential Equations

open access: yesMathematics, 2022
The study of the fuzzy differential equation is a topic that researchers are interested in these days. By modelling, this fuzzy differential equation can be used to resolve issues in the real world.
Nurain Zulaikha Husin   +2 more
doaj   +1 more source

Positive solutions of a fourth-order differential equation with integral boundary conditions [PDF]

open access: yesMathematica Bohemica, 2023
We study the existence of positive solutions to the fourth-order two-point boundary value problem \begin{cases} u^{\prime\prime\prime\prime}(t) + f(t,u(t))=0, & 0 < t < 1, u^{\prime}(0) = u^\prime(1) = u^{\prime\prime}(0) =0, & u(0) = \alpha[u]
Seshadev Padhi, John R. Graef
doaj   +1 more source

Iterative Method for Solving a Nonlinear Fourth Order Integro-Differential Equation

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2022
This study presents the execution of an iterative technique suggested by Temimi and Ansari (TA) method to approximate solutions to a boundary value problem of a 4th-order nonlinear integro-differential equation (4th-ONIDE) of the type Kirchhoff which ...
Areej Salah Mohammed
doaj   +1 more source

Kamenev-Type Asymptotic Criterion of Fourth-Order Delay Differential Equation

open access: yesFractal and Fractional, 2020
In this paper, we obtain necessary and sufficient conditions for a Kamenev-type oscillation criterion of a fourth order differential equation of the form r 3 t r 2 t r 1 t y ′ t ′ ′ ′ + q t f y &
Omar Bazighifan
doaj   +1 more source

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