Results 311 to 320 of about 6,715,931 (355)

Stochastic differential equations

Physics Reports, 1976
Abstract In chapter I stochastic differential equations are defined and classified, and their occurrence in physics is reviewed. In chapter II it is shown for linear equation show a differential equation for the averaged solution is obtained by expanding in ατ c , where α measures the size of the fluctuations and τ c their autocorrelation time. This
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Ordinary Differential Equations

2012
In this chapter we provide an overview of the basic theory of ordinary differential equations (ODE). We give the basics of analytical methods for their solutions and also review numerical methods. The chapter should serve as a primer for the basic application of ODEs and systems of ODEs in practice.
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Magnetic Differential Equations

The Physics of Fluids, 1959
A necessary and sufficient condition is derived for a magnetic differential equation B·▿r = 0 to have a single-valued solution r, where B is the field of a magnetohydrostatic equilibrium state or, more generally, and field with a system of toroidal magnetic surfaces.
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Non-Autonomous Differential Equations

2003
1. Introduction 2. Basic Methods 3. Cantor Spectrum for Quasi-Periodic Schrodinger Operators 4. Almost Automorphy in Semilinear Parabolic PDEs 5.
JOHNSON, RUSSELL ALLAN, F. Mantellini
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Stochastic differential equations

2011
In this chapter we present some basic results on stochastic differential equations, hereafter shortened to SDEs, and we examine the connection to the theory of parabolic partial differential equations.
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A general memristor-based partial differential equation solver

Nature Electronics, 2018
Mohammed Affan Zidan, Yeonjoo Jeong, Jihang Lee, Bing Chen, Shuo Huang, M. Kushner, W. Lu   +6 more
semanticscholar   +1 more source

Set differential equations versus fuzzy differential equations

Applied Mathematics and Computation, 2005
The paper is devoted to establish some results on existence, uniqueness and flow invariance for set differential equations, and their connection with fuzzy differential equations. Both types of differential equations are emergent research areas, so the background included in this paper will be appreciated for all people interested in the topic.
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Adapted solution of a backward stochastic differential equation

, 1990
É. Pardoux, S. Peng
semanticscholar   +1 more source

Uncertain partial differential equation with application to heat conduction

Fuzzy Optimization and Decision Making, 2016
Xiangfeng Yang, K. Yao
semanticscholar   +1 more source

Stability in mean for uncertain differential equation

Fuzzy Optimization and Decision Making, 2015
K. Yao, Hua Ke, Y. Sheng
semanticscholar   +1 more source