Results 1 to 10 of about 626,225 (308)
Fourth-Order Differential Equation with Deviating Argument [PDF]
Abstract and Applied Analysis, 2012 We consider the fourth-order differential equation with middle-term and deviating argument x(4)(t)+q(t)x(2)(t)+r(t)f(x(φ(t)))=0, in case when the corresponding second-order equation h″+q(t)h=0 is oscillatory.
M. Bartušek +3 more
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Special functions associated with a certain fourth-order differential equation [PDF]
, 2011 We develop a theory of "special functions" associated to a certain fourth order differential operator $\mathcal{D}_{\mu,\nu}$ on $\mathbb{R}$ depending on two parameters $\mu,\nu$. For integers $\mu,\nu\geq-1$ with $\mu+\nu\in2\mathbb{N}_0$ this operator
Hilgert, J. +3 more
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Asymptotic integration of a linear fourth order differential equation of Poincaré type [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2015 This article deals with the asymptotic behavior of nonoscillatory solutions of fourth order linear differential equation where the coefficients are perturbations of constants.
Anibal Coronel +2 more
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Mathematics, 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
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Systems-disconjugacy of a fourth-order differential equation with a middle term
Electronic Journal of Differential Equations, 2016 Systems-conjugate points were introduced and studied by Barrett [3] in relation with the self-adjoint fourth order differential equation $$ (r(x)y'')''-(q(x)y')'= p(x)y, $$ where r(x)>0, p(x)>0 and q=0. In this paper we extend some of his results
Jamel Ben Amara
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Oscillation theorems for fourth-order quasi-linear delay differential equations
AIMS Mathematics, 2023 In this paper, we deal with the asymptotic and oscillatory behavior of quasi-linear delay differential equations of fourth order. We first find new properties for a class of positive solutions of the studied equation, $ \mathcal{N}_{a} $.
Fahd Masood +4 more
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Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions
Entropy, 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
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Differential inequality and non-oscillation of fourth order differential equation [PDF]
Қарағанды 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
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Mathematics, 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
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Mathematical Biosciences and Engineering, 2023 In this paper, a (2+1)-dimensional KdV4 equation is considered. We obtain Lie symmetries of this equation by utilizing Lie point symmetry analysis method, then use them to perform symmetry reductions.
Sixing Tao
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