Results 41 to 50 of about 2,090,917 (350)

Lie Point Symmetries, Traveling Wave Solutions and Conservation Laws of a Non-linear Viscoelastic Wave Equation

open access: yesMathematics, 2021
This paper studies a non-linear viscoelastic wave equation, with non-linear damping and source terms, from the point of view of the Lie groups theory.
Almudena P. Márquez, María S. Bruzón
doaj   +1 more source

Differential Equivalence for Linear Differential Algebraic Equations [PDF]

open access: yesIEEE Transactions on Automatic Control, 2022
Differential-algebraic equations (DAEs) are a widespread dynamical model that describes continuously evolving quantities defined with differential equations, subject to constraints expressed through algebraic relationships. As such, DAEs arise in many fields ranging from physics, chemistry, and engineering.
Stefano Tognazzi   +3 more
openaire   +4 more sources

Explicit Solutions to Large Deformation of Cantilever Beams by Improved Homotopy Analysis Method I: Rotation Angle

open access: yesApplied Sciences, 2022
An improved homotopy analysis method (IHAM) is proposed to solve the nonlinear differential equation, especially for the case when nonlinearity is strong in this paper.
Yinshan Li   +3 more
doaj   +1 more source

Five-dimensional Monopole Equation with Hedge-Hog Ansatz and Abel's Differential Equation

open access: yes, 2011
We review the generalized monopole in the five-dimensional Euclidean space. A numerical solution with the Hedge-Hog ansatz is studied. The Bogomol'nyi equation becomes a second order autonomous non-linear differential equation.
A. M. Polyakov   +6 more
core   +1 more source

Oscillation criteria for perturbed half-linear differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations
Oscillatory properties of perturbed half-linear differential equations are investigated. We make use of the modified Riccati technique. A certain linear differential equation associated with the modified Riccati equation plays an important part. Improved
Manabu Naito
doaj   +1 more source

L2-convergence of Yosida approximation for semi-linear backward stochastic differential equation with jumps in infinite dimension [PDF]

open access: yesArab Journal of Mathematical Sciences
Purpose – The main motivation of this paper is to present  the Yosida approximation of a semi-linear backward stochastic differential equation in infinite dimension. Under suitable assumption and condition, an L2-convergence rate is established.
Hani Abidi   +3 more
doaj   +1 more source

Wave solutions of the DMBBM equation and the cKG equation using the simple equation method

open access: yesFrontiers in Applied Mathematics and Statistics, 2022
In this article, we transform the (1 + 1)-dimensional non-linear dispersive modified Benjamin-Bona-Mahony (DMBBM) equation and the (2 + 1)-dimensional cubic Klein Gordon (cKG) equation, which are the non-linear partial differential equations, into the ...
Jiraporn Sanjun, Aungkanaporn Chankaew
doaj   +1 more source

Modified Riccati technique for half-linear differential equations with delay

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2014
We study the half-linear differential equation $$ (r(t)\Phi(x'(t)))'+c(t)\Phi(x(\tau(t)))=0,\quad \Phi(x):=|x|^{p-2}x,\ p>1. $$ We formulate new oscillation criteria for this equation by comparing it with a certain ordinary linear or half-linear ...
Simona Fišnarová, Robert Marik
doaj   +1 more source

Square-Mean Asymptotically Almost Periodic Solutions for a Class of Fractional Stochastic Differential Equation

open access: yesJournal of Harbin University of Science and Technology
The study of the properties for fractional stochastic differential equation is one of the hot directions in the field of mathematics over the years.
YAO Huili, LIU Mengran, WANG Jingnan
doaj   +1 more source

An asymptotic result for linear nonhomogeneous mixed type differential equation [PDF]

open access: yesE-Journal of Analysis and Applied Mathematics
We consider a nonhomogeneous linear mixed type differential equation with variable coefficients and establish an asymptotic result for its solutions. Our result is obtained by the use of a solution of the so-called generalized characteristic equation of ...
Ali Fuat Yeniçerioğlu
doaj   +1 more source

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