Results 71 to 80 of about 6,821,838 (248)
Van der Pol model in two-delay differential equation representation
Scientific Reports, 2022 The Van der Pol equation is the mathematical model of a second-order ordinary differential equation with cubic nonlinearity. Several studies have been adding time delay to the Van der Pol model. In this paper, the differential equation of the Van der Pol
M. A. Elfouly, M. A. Sohaly
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Normal form for travelling kinks in discrete Klein-Gordon lattices
, 2005 We study travelling kinks in the spatial discretizations of the nonlinear Klein--Gordon equation, which include the discrete $\phi^4$ lattice and the discrete sine--Gordon lattice.
Aigner +27 more
core +2 more sources
Discretizing a backward stochastic differential equation
International Journal of Mathematics and Mathematical Sciences, 2002 We show a simple method to discretize Pardoux-Peng's nonlinear backward stochastic differential equation. This discretization scheme also gives a numerical method to solve a class of semi-linear PDEs.
Yinnan Zhang, Weian Zheng
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Algebraic entropy for differential-delay equations [PDF]
arXiv, 2014 We extend the definition of algebraic entropy to a class of differential-delay equations. The vanishing of the entropy, as a structural property of an equation, signals its integrability. We suggest a simple way to produce differential-delay equations with vanishing entropy from known integrable differential-difference equations.
arxiv
Extreme values and integral of solution of uncertain differential equation
, 2013 Uncertain differential equation is a type of differential equation involving uncertain process. This paper will give uncertainty distributions of the extreme values, first hitting time, and integral of the solution of uncertain differential equation ...
K. Yao
semanticscholar +1 more source
Initial value problems of fractional order Hadamard-type functional differential equations
Electronic Journal of Differential Equations, 2015 The Banach fixed point theorem and a nonlinear alternative of Leray-Schauder type are used to investigate the existence and uniqueness of solutions for fractional order Hadamard-type functional and neutral functional differential equations.
Bashir Ahmad, Sotiris K. Ntouyas
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Solving system of integro differential equations using discrete adomian decomposition method
Journal of Taibah University for Science, 2019 In this paper, we propose a new numerical method for solving system of integro-differential equations featuring Volterra and Fredholm integrals. The proposed method depends on the successful application of the Discrete Adomian Decomposition Method (DADM)
H. O. Bakodah +2 more
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Logistic function as solution of many nonlinear differential equations [PDF]
arXiv, 2014 The logistic function is shown to be solution of the Riccati equation, some second-order nonlinear ordinary differential equations and many third-order nonlinear ordinary differential equations. The list of the differential equations having solution in the form of the logistic function is presented.
arxiv
Ulam stability for a delay differential equation
, 2013 We study the Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability for a delay differential equation. Some examples are given.
D. Otrocol, V. Ilea
semanticscholar +1 more source
On the fractional Allee logistic equation in the Caputo sense
Examples and Counterexamples, 2023 In the framework of population models, logistic growth and fractional logistic growth has been analyzed. In some situations the so-called Allee effect gives more accurate approximation.
I. Area, Juan J. Nieto
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