Euler case for a general fourth-order differential equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 We deal with an Euler case for a general fourth-order equation and under this case, we obtain the general formula for the asymptotic form of the solutions.
A. S. A. Al-Hammadi
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New Improved Results for Oscillation of Fourth-Order Neutral Differential Equations
Mathematics, 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
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Positive solutions of a fourth-order differential equation with integral boundary conditions [PDF]
Mathematica 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
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Oscillation of Fourth-Order Delay Differential Equations [PDF]
Journal of Mathematical Sciences, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, C., Li, T., Saker, S.H.
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Iterative Method for Solving a Nonlinear Fourth Order Integro-Differential Equation
Ibn 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
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Oscillation of fourth-order quasilinear differential equations [PDF]
Mathematica Bohemica, 2015 Summary: We study oscillatory behavior of a class of fourth-order quasilinear differential equations without imposing restrictive conditions on the deviated argument. This allows applications to functional differential equations with delayed and advanced arguments, and not only these.
Rogovchenko, Yuriy +2 more
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Kamenev-Type Asymptotic Criterion of Fourth-Order Delay Differential Equation
Fractal 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
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NONLOCAL PROBLEM FOR A MIXED TYPE FOURTH-ORDER DIFFERENTIAL EQUATION WITH HILFER FRACTIONAL OPERATOR
, 2020 : In this paper, we consider a non-self-adjoint boundary value problem for a fourth-order differential equation of mixed type with Hilfer operator of fractional integro-differentiation in a positive rectangular domain and with spectral parameter in a ...
T. Yuldashev, Bakhtiyor J. Kadirkulovich
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Delay differential equation of fourth-order: Asymptotic analysis and oscillatory behavior
Alexandria Engineering Journal, 2022 The objective of this work is to offer sufficient conditions for the oscillation of all solutions of fourth-order delay differential equations with non-canonical operator.
Osama Moaaz +3 more
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On the Oscillatory Behavior of a Class of Fourth-Order Nonlinear Differential Equation
Symmetry, 2020 In this work, we study the oscillatory behavior of a class of fourth-order differential equations. New oscillation criteria were obtained by employing a refinement of the Riccati transformations.
O. Moaaz, Poom Kumam, O. Bazighifan
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