Results 261 to 270 of about 626,225 (308)

A compact finite difference scheme for the fourth‐order time‐fractional integro‐differential equation with a weakly singular kernel

Numerical Methods for Partial Differential Equations, 2019
In this paper, a compact finite difference scheme is constructed and investigated for the fourth‐order time‐fractional integro‐differential equation with a weakly singular kernel.
Da Xu, W. Qiu, Jing Guo
semanticscholar   +1 more source

Fourth-Order Differential Equations on Geometric Graphs

Journal of Mathematical Sciences, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Borovskikh, A. V., Lazarev, K. P.
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Nonlinear Oscillation of Fourth Order Differential Equations

Canadian Journal of Mathematics, 1976
In this paper we are concerned with the fourth order nonlinear differential equationwhere the following conditions are always assumed to hold:(a) r(t) is continuous and positive for t ≠ 0 ...
Kusano, Takasi, Naito, Manabu
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Fourth Order Differential Equations

2004
In addition to discussing general fourth order nonlinear equations with quasiderivatives, we consider sublinear equations in self-adjoint form, a two term nonlinear equation, and then fourth order linear equations.
Miroslav Bartušek, Zuzana Došlá, John R. Graef   +2 more
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Conjugate Points for Fourth Order Linear Differential Equations

SIAM Journal on Applied Mathematics, 1972
Let $r_{i_1 \,i_2 \cdots i_k } = \infty $ mean that no nontrivial solution of $y^{( n )} + \sum\nolimits_{i = 0}^{n - 1} {p_i } ( x )y^{( i )} = 0$ has an $i_1 - i_2 - \cdots - i_k $ distribution of zeros. The main result is the following theorem.THEOREM 1.
Ridenhour, Jerry R., Sherman, Thomas L.
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Orthogonal polynomials satisfying fourth order differential equations

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1981
SynopsisThese polynomials, which are intimately connected with the Legendre, Laguerre and Jacobi polynomials, are orthogonal with respect to Stieltjes weight functions which are absolutely continuous on (− 1, 1), (0, ∞) and (0, 1), respectively, but which have jumps at some of the intervals' ends. Each set satisfies a fourth order differential equation
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Fourth-order partial differential equations for noise removal

IEEE Transactions on Image Processing, 2000
A class of fourth-order partial differential equations (PDEs) are proposed to optimize the trade-off between noise removal and edge preservation. The time evolution of these PDEs seeks to minimize a cost functional which is an increasing function of the absolute value of the Laplacian of the image intensity function.
You, Yu-Li, Kaveh, M.
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Asymptotic Solutions of a Fourth Order Differential Equation

Studies in Applied Mathematics, 2007
In this paper, we derive uniform asymptotic expansions of solutions to the fourth order differential equation image where x is a real variable and λ is a large positive parameter. The solutions of this differential equation can be expressed in the form of contour integrals, and uniform asymptotic expansions are derived by using the cubic ...
Wong, R., Zhang, H. Y.
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Antiperiodic solutions of fourth‐order impulsive differential equation

Mathematical Methods in the Applied Sciences, 2017
In this paper, the existence of antiperiodic solutions for fourth‐order impulsive differential equation is obtained by variational approaches and results on the auxiliary system. It is interesting that there is no growth restraint on nonlinear terms and impulsive terms.
Yu Tian, Suiming Shang, Qiang Huo
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The generalized differential quadrature rule for fourth‐order differential equations

International Journal for Numerical Methods in Engineering, 2001
AbstractThe generalized differential quadrature rule (GDQR) proposed here is aimed at solving high‐order differential equations. The improved approach is completely exempted from the use of the existing δ‐point technique by applying multiple conditions in a rigorous manner.
Wu, T.Y., Liu, G.R.
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