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Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In the present paper the initial value problem for the second order ordinary differential equation with damping term and involution is investigated. We obtain equivalent initial value problem for the fourth order ordinary differential equations to the ...
A. Ashyralyev +2 more
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Asymptotic Properties of Linear Fourth Order Differential Equations [PDF]
Proceedings of the American Mathematical Society, 1976 Asymptotic behavior of solutions is studied for the general fourth order linear homogeneous differential equation with bounded coefficients. It is shown that roughly the same qualitative behavior as in the constant coefficient case holds.
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A Generalized Freud Weight [PDF]
, 2015 We discuss the relationship between the recurrence coefficients of orthogonal polynomials with respect to a generalized Freud weight w(x;t)=|x|2?+1exp(?x4+tx2),x?R, with parameters ?>?1 and t?R, and classical solutions of the fourth Painlev\'e equation.
Clarkson, Peter +2 more
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Systems-disconjugacy of a fourth-order differential equations [PDF]
Proceedings of the American Mathematical Society, 1961 where r(x) >0 and p(x) are both continuous on [a, oo) and p(x) does not change sign, and related conjugate point properties to oscillation. They gave extensive evidence indicating that the oscillatory behavior when p(x) is positive is essentially different from that when p(x) is negative.
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STABILITY FOR CERTAIN FOURTH ORDER NONLINEAR DIFFERENTIAL EQUATIONS
Demonstratio Mathematica, 1998 The authors deal with the differential equation \[ x^{(4)}+ \varphi(\ddot x)\dddot x+ f(x,\dot x)\ddot x+ g(\dot x)+ h(x)= P(t, x,\dot x,\ddot x,\dddot x).\tag{\(*\)} \] If \(P= 0\), it is proved that a zero solution to equation \((*)\) is asymptotically stable in the large under certain conditions.
Lin, Shizhong +2 more
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Bifurcation Analysis in a Kind of Fourth-Order Delay Differential Equation
Discrete Dynamics in Nature and Society, 2009 A kind of fourth-order delay differential equation is considered. Firstly, the linear stability is investigated by analyzing the associated characteristic equation.
Xiaoqian Cui, Junjie Wei
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ASYMPTOTIC BEHAVIOR OF NONOSCILLATORY SOLUTIONS OF FOURTH ORDER LINEAR DIFFERENTIAL EQUATIONS
Selecciones Matemáticas, 2016 This article deals with the asymptotic behavior of nonoscillatory solutions of fourth order linear differential equation where the coefficients are perturbations of linear constant coefficient equation. We define a change of variable and deduce that the
Aníbal Coronel +2 more
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Cosmological perturbations in a gravity with quadratic order curvature couplings [PDF]
, 1998 We present a set of equations describing the evolution of the scalar-type cosmological perturbation in a gravity with general quadratic order curvature coupling terms.
A. D. Sakharov +30 more
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By dawn or dusk—how circadian timing rewrites bacterial infection outcomes
FEBS Letters, EarlyView.The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo +2 more
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Traveling wave structures of some fourth-order nonlinear partial differential equations
Journal of Ocean Engineering and Science, 2023 This study presents a large family of the traveling wave solutions to the two fourth-order nonlinear partial differential equations utilizing the Riccati-Bernoulli sub-ODE method.
Handenur Esen +3 more
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