Results 21 to 30 of about 10,993,960 (288)

On a fourth‐order nonlinear Helmholtz equation

open access: yesJournal of the London Mathematical Society, 2018
In this paper, we study the mixed dispersion fourth order nonlinear Helmholtz equation $Δ^2 u -βΔu + αu= Γ|u|^{p-2} u$ in $\mathbb R^N$ for positive, bounded and $\mathbb Z^N$-periodic functions $Γ$. Using the dual method of Evequoz and Weth, we find solutions to this equation and establish some of their qualitative properties.
Denis Bonheure   +2 more
openaire   +7 more sources

Numerical Solutions of a Class of Fourth-Order Non-Linear Equations for Singular Boundary Value Problems [PDF]

open access: yesJournal of Applied and Computational Mechanics
In this article, we investigate the numerical approximation of solutions to a class of fourth-order singular boundary value problems subject to various boundary conditions.
Biswajit Pandit   +3 more
doaj   +1 more source

Compact local stencils employed with integrated RBFs for fourth-order differential problems [PDF]

open access: yes, 2011
In this paper, new compact local stencils based on integrated radial basis functions (IRBFs) for solving fourth-order ordinary differential equations (ODEs) and partial differential equations (PDEs) are presented.
Hoang-Trieu, T.-T.   +2 more
core   +1 more source

Fourth Order Diffusion Equations with Increasing Entropy

open access: yesEntropy, 2012
The   general   quasi-linear  autonomous  fourth   order   diffusion   equation <em>u<sub>t</sub> = −[G(u)u<sub>xxx </sub> + h(u, u<sub>x</sub>, u<sub>xx</sub>)]<sub>x </sub></em> ...
Philip Broadbridge, Naghmana Tehseen
doaj   +1 more source

A regularized gradient flow for the p-elastic energy

open access: yesAdvances in Nonlinear Analysis, 2022
We prove long-time existence for the negative L2{L}^{2}-gradient flow of the p-elastic energy, p≥2p\ge 2, with an additive positive multiple of the length of the curve.
Blatt Simon   +2 more
doaj   +1 more source

Energy in Fourth-Order Gravity

open access: yesAnnales Henri Poincaré
5 figures Update on the 17/07/22: correcting typos, streamlining the paper, taking into account/answering interesting questions asked to the authors during conferences Update on the 23/01/2024 : correction of typos, modifications suggested by reviewers for ...
R. Avalos, J. H. Lira, N. Marque
openaire   +3 more sources

Ergodicity and fourth-order spectral moments [PDF]

open access: yesIEEE Transactions on Information Theory, 1997
Summary: Relationships between ergodicity and structures of fourth-order spectral moments are investigated. In particular, it is shown that second-order ergodicity of a random process is directly related to the distribution of these moments on the normal manifolds of the frequency domain. This result is illustrated by various examples.
openaire   +2 more sources

Numerical Analysis of Transmission Lines Equation by new β-method Schemes

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper we develop a new β-method applied to the resolution of homogeneous transmission lines. A comparison with conventional methods used for this type of problems like FDTD method or classical β-method is also given.
Allali Fatima   +3 more
doaj   +1 more source

THE FOURTH ORDER MIXED PERIODIC RECURRENCE FRACTIONS

open access: yesJournal of Vasyl Stefanyk Precarpathian National University, 2015
Offered economical algorithm for calculation of rational shortenings of thefourth-order mixed periodic recurrence fraction.
A.V. Semenchuk, R.A. Zatorsky
doaj   +1 more source

Oscillatory properties of fourth order nonlinear difference equations with quasidifferences [PDF]

open access: yesOpuscula Mathematica, 2006
In this paper we present the oscillation criterion for a class of fourth order nonlinear difference equations with quasidifferences.
Ewa Schmeidel   +2 more
doaj  

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