Results 31 to 40 of about 12,514,312 (273)

Revisiting Schrödinger’s fourth-order, real-valued wave equation and the implication from the resulting energy levels

open access: yesRoyal Society Open Science, 2023
In his seminal part IV, Annalen der Physik vol. 81, 1926 paper, Schrödinger has developed a clear understanding about the wave equation that produces the correct quadratic dispersion relation for matter-waves and he first presents a real-valued wave ...
Nicos Makris
doaj   +1 more source

Fourth order partial differential equations on general geometries [PDF]

open access: yesJournal of Computational Physics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
John B. Greer   +2 more
openaire   +1 more source

On the boundedness of solution of the second order ordinary differential equation with damping term and involution

open access: yesҚарағанды 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
doaj   +1 more source

Numerical solution of the Falkner-Skan equation using third-order and high-order-compact finite difference schemes [PDF]

open access: yes, 2011
We present a computational study of the solution of the Falkner-Skan equation (a third-order boundary value problem arising in boundary-layer theory) using high-order and high-order-compact finite differences schemes.
Galeano, Carlos   +5 more
core   +1 more source

Asymptotic integration of a linear fourth order differential equation of Poincaré type

open access: yesElectronic 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
doaj   +1 more source

Traveling wave structures of some fourth-order nonlinear partial differential equations

open access: yesJournal 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
doaj   +1 more source

Bifurcation Analysis in a Kind of Fourth-Order Delay Differential Equation

open access: yesDiscrete 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
doaj   +1 more source

ASYMPTOTIC BEHAVIOR OF NONOSCILLATORY SOLUTIONS OF FOURTH ORDER LINEAR DIFFERENTIAL EQUATIONS

open access: yesSelecciones 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
doaj   +1 more source

Correction to: “Periodic solutions of fourth-order differential equations” [PDF]

open access: yesProceedings of the American Mathematical Society, 1967
1. M. Abramowitz and I. A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards, Applied Mathematics Series 55, 3rd printing, with corrections, March, 1965. 2. P. F. Hsieh and Y. Sibuya, On the asymptotic integration of second order linear ordinary differential equations with polynomial
openaire   +2 more sources

Spatial and single‐nuclei transcriptomics reveals idiosyncratic and generic patterns in papillary and anaplastic thyroid cancers

open access: yesMolecular Oncology, EarlyView.
Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur   +11 more
wiley   +1 more source

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