Results 41 to 50 of about 6,821,838 (248)

Solving Backward Doubly Stochastic Differential Equations through Splitting Schemes [PDF]

open access: yesarXiv, 2021
A splitting scheme for backward doubly stochastic differential equations is proposed. The main idea is to decompose a backward doubly stochastic differential equation into a backward stochastic differential equation and a stochastic differential equation.
arxiv  

Ulam Stability of n-th Order Delay Integro-Differential Equations

open access: yesMathematics, 2021
In this paper, the Ulam stability of an n-th order delay integro-differential equation is given. Firstly, the existence and uniqueness theorem of a solution for the delay integro-differential equation is obtained using a Lipschitz condition and the ...
Shuyi Wang, Fanwei Meng
doaj   +1 more source

Multifactor uncertain differential equation

open access: yes, 2015
This paper proposes a type of multifactor uncertain differential equation within the framework of uncertainty theory. The analytic solutions of four special types of multifactor uncertain differential equations are first discussed.
Shengguo Li, Jin Peng, Bo Zhang
semanticscholar   +1 more source

Penalization method for a nonlinear Neumann PDE via weak solutions of reflected SDEs

open access: yes, 2013
In this paper we prove an approximation result for the viscosity solution of a system of semi-linear partial differential equations with continuous coefficients and nonlinear Neumann boundary condition. The approximation we use is based on a penalization
Bahlali, Khaled   +2 more
core   +3 more sources

Fractional Differential Equations in Terms of Comparison Results and Lyapunov Stability with Initial Time Difference

open access: yesAbstract and Applied Analysis, 2010
The qualitative behavior of a perturbed fractional-order differential equation with Caputo's derivative that differs in initial position and initial time with respect to the unperturbed fractional-order differential equation with Caputo's derivative has ...
Coşkun Yakar
doaj   +1 more source

CONFORMABLE FRACTIONAL HEAT DIFFERENTIAL EQUATION

open access: yes, 2014
In this paper, we try to give exact solution of the heat conformable fractional differential equation. Some other differential equations are discussed.
M. A. Hammad, R. Khalil
semanticscholar   +1 more source

Solving Ordinary Differential Equations

open access: yesProgramming for Computations - Python, 2019
Differential equations constitute one of the most powerful mathematical tools to understand and predict the behavior of dynamical systems in nature, engineering, and society.
S. Linge, H. Langtangen
semanticscholar   +1 more source

Teaching Partial Differential Equations with CAS [PDF]

open access: yes, 2018
Partial Differential Equations (PDE) are one of the topics where Engineering students find more difficulties when facing Math subjects. A basic course in Partial Differential Equations (PDE) in Engineering, usually deals at least, with the following ...
Aguilera-Venegas, Gabriel   +5 more
core  

The nonlinear superposition principle and the Wei-Norman method

open access: yes, 1998
Group theoretical methods are used to study some properties of the Riccati equation, which is the only differential equation admitting a nonlinear superposition principle. The Wei-Norman method is applied to obtain the associated differential equation in
Carinena, J. F., Marmo, G., Nasarre, J.
core   +2 more sources

Solution of Inhomogeneous Fractional Differential Equations with Polynomial Coefficients in Terms of the Green’s Function, in Nonstandard Analysis

open access: yesMathematics, 2021
Discussions are presented by Morita and Sato in Mathematics 2017; 5, 62: 1–24, on the problem of obtaining the particular solution of an inhomogeneous ordinary differential equation with polynomial coefficients in terms of the Green’s function, in the ...
Tohru Morita, Ken-ichi Sato
doaj   +1 more source

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