Results 31 to 40 of about 2,136,673 (353)

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

, 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, A. M. Polyakov, E. B. Bogomol’nyi, E. B. Bogomol’nyi, G. M. Murphy, Hironobu Kihara, N. H. Abel   +6 more
core   +1 more source

Oscillation criteria for perturbed half-linear differential equations

Electronic 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]

Arab 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, Rim Amami, Roger Pettersson, Chiraz Trabelsi   +3 more
doaj   +1 more source

Modified Riccati technique for half-linear differential equations with delay

Electronic 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

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

Frontiers 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

Solving linear parabolic rough partial differential equations [PDF]

, 2018
We study linear rough partial differential equations in the setting of [Friz and Hairer, Springer, 2014, Chapter 12]. More precisely, we consider a linear parabolic partial differential equation driven by a deterministic rough path $\mathbf{W}$ of H ...
Bayer, Christian, Belomestny, Denis, Redmann, Martin, Riedel, Sebastian, Schoenmakers, John   +4 more
core   +3 more sources

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

Journal 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]

E-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

Gravitating fluids with Lie symmetries

, 2010
We analyse the underlying nonlinear partial differential equation which arises in the study of gravitating flat fluid plates of embedding class one. Our interest in this equation lies in discussing new solutions that can be found by means of Lie point ...
A M Msomi, Bluman G W, Dimas S, Hereman W, K S Govinder, Lobo F S N, Olver P J, S D Maharaj, Thirukkanesh S, Wolfram S   +9 more
core   +1 more source

Picard-Vessiot Extensions of Real Differential Fields [PDF]

, 2019
For a linear differential equation defined over a formally real differential field K with real closed field of constants k, Crespo, Hajto and van der Put proved that there exists a unique formally real Picard- Vessiot extension up to K-differential ...
Crespo, Teresa, Hajto, Zbigniew
core   +2 more sources