Results 61 to 70 of about 1,725,128 (187)
The Numerical Method for Solving Differential Equations of Lane-Emden Type by Padé Approximation
Discrete Dynamics in Nature and Society, 2011 Numerical solution differential equation of Lane-Emden type is considered by Padé approximation. We apply these method to two examples. First differential equation of Lane-Emden type has been converted to power series by one-dimensional differential ...
Muhammed Yiğider +2 more
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Physical applications of second-order linear differential equations that admit polynomial solutions
, 2010 Conditions are given for the second-order linear differential equation P3 y" + P2 y'- P1 y = 0 to have polynomial solutions, where Pn is a polynomial of degree n. Several application of these results to Schroedinger's equation are discussed.
Ciftci H +16 more
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Journal 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
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Stochastic Differential Equations
Journal of Multivariate Analysis, 1974 AbstractWhen a system is acted upon by exterior disturbances, its time-development can often be described by a system of ordinary differential equations, provided that the disturbances are smooth functions. But for sound reasons physicists and engineers usually want the theory to apply when the noises belong to a larger class, including for example ...
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On stochastic differential equations and a generalised Burgers equation [PDF]
, 2012 In this paper, we discuss a link of Itˆo’s stochastic differential equa- tions to nonlinear partial differential equations of Burgers type. Un- der certain conditions, we derive a generalised Burgers equation from a stochastic differential equation.
Wu, JiangLun, Yang, Wei
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Picard-Fuchs equations for Feynman integrals
, 2013 We present a systematic method to derive an ordinary differential equation for any Feynman integral, where the differentiation is with respect to an external variable. The resulting differential equation is of Fuchsian type. The method can be used within
Müller-Stach, Stefan +2 more
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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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Strong Law of Large Numbers for Solutions of Non-Autonomous Stochastic Differential Equations
Наукові вісті Національного технічного університету України "Київський політехнічний інститут", 2017 Background. Asymptotic behavior at infinity of non-autonomous stochastic differential equation solutions is studied in the paper. Objective. The aim of the work is to find sufficient conditions for the strong law of large numbers for a random process ...
Oleg I. Klesov +2 more
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Mean-field approximation of counting processes from a differential equation perspective
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Deterministic limit of a class of continuous time Markov chains is considered based purely on differential equation techniques. Starting from the linear system of master equations, ordinary differential equations for the moments and a partial ...
Dávid Kunszenti-Kovács, Péter Simon
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DIFFERENTIAL EQUATIONS ON GRAPHS [PDF]
Mathematics of the USSR-Sbornik, 1972 Summary: The differential equations encountered in various applications may be treated as equations on graphs. In the paper it is shown that the structure of the graph allows us to investigate the properties of the solutions of such equations.
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