Results 111 to 120 of about 6,821,838 (248)

Stability theorems for stochastic differential equations driven by G-Brownian motion [PDF]

open access: yesarXiv, 2011
In this paper, stability theorems for stochastic differential equations and backward stochastic differential equations driven by G-Brownian motion are obtained. We show the existence and uniqueness of solutions to forward-backward stochastic differential equations driven by G-Brownian motion.
arxiv  

Simplified variational iteration method for solving ordinary differential equations and eigenvalue problems

open access: yesAdvances in Mechanical Engineering, 2016
A simplified variational iteration method is proposed to solve high-order homogeneous or nonhomogeneous linear ordinary differential equation and ordinary differential equation eigenvalue problems more efficiently and conveniently.
Chao Pan, Ruifu Zhang, Hao Luo, Hua Shen
doaj   +1 more source

A Root Parametrized Differential Equation for the Special Linear Group [PDF]

open access: yesarXiv, 2014
Let $C \langle \boldsymbol{t} \rangle$ be the differential field generated by $l$ differential indeterminates $\boldsymbol{t}=(t_1, \dots, t_l)$ over an algebraically closed field $C$ of characteristic zero. In this article we present an explicit linear parameter differential equation over $C \langle \boldsymbol{t} \rangle$ with differential Galois ...
arxiv  

Projective Geometry and PDE Prolongation [PDF]

open access: yesarXiv
In this dissertation we study basic local differential geometry, projective differential geometry, and prolongations of overdetermined geometric partial differential equations. It is simple to prolong an n-th order linear ordinary differential equation into n first order equations. For partial differential equations there is a related process but it is
arxiv  

New applications of the two variable (G′/G, 1/G)-expansion method for closed form traveling wave solutions of integro-differential equations

open access: yesJournal of Ocean Engineering and Science, 2019
Most fundamental themes in mathematical physics and modern engineering are investigated by the closed form traveling wave solutions of nonlinear evolution equations.
M. Mamun Miah   +3 more
doaj  

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