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The Encyclopedia of Mathematical Geosciences is a complete and authoritative reference work. It provides concise explanation on each term that is related to Mathematical Geosciences. Over 300 international scientists, each expert in their specialties, have written over 300 separate articles on different topics of mathematical geosciences including ...
Zlotnik, Sergio, Soler Villanueva, Jaume
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DIFFERENTIAL GEOMETRY FROM DIFFERENTIAL EQUATIONS [PDF]
37 pages, revised version with ...
Frittelli, Simonetta +2 more
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A Comparison of Automatic Differentiation and Continuous Sensitivity Analysis for Derivatives of Differential Equation Solutions [PDF]
Derivatives of differential equation solutions are commonly for parameter estimation, fitting neural differential equations, and as model diagnostics. However, with a litany of choices and a Cartesian product of potential methods, it can be difficult for
Christopher Rackauckas +7 more
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In this paper we present a solution to a second order differential–difference equation that occurs in different contexts, specially in control engineering and finance. This equation leads to an ordinary differential equation, whose homogeneous part is a
Cláudia Nunes +2 more
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Ordinary Differential Equations [PDF]
AbstractIn this chapter, we discuss a first application of the time derivative operator constructed in the previous chapter. More precisely, we analyse well-posedness of ordinary differential equations and will at the same time provide a Hilbert space proof of the classical Picard–Lindelöf theorem (There are different notions for this theorem.
Christian Seifert +2 more
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An analytical method for shallow spherical shell free vibration on two-parameter foundation
The free vibration control differential equation of shallow spherical shell on two-parameter foundation is a four order differential equation.
Jiarong Gan +4 more
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IMPLEMENTASI DELAY DIFFERENTIAL EQUATION PADA SOLVER ORDINARY DIFFERENTIAL EQUATION MATLAB
Ordinary Differential Equation (ODE) dan Delay Differential Equation (DDE) banyak digunakan untuk menerangkan kejadian-kejadian pada dunia nyata. ODE melibatkan derivatif yang dipengaruhi oleh penyelesaian waktu sekarang dari variabel-variabel yang tidak
Rully Soelaiman, Yudhi Purwananto
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On classical symmetries of ordinary differential equations related to stationary integrable partial differential equations [PDF]
We study the relationship between the solutions of stationary integrable partial and ordinary differential equations and coefficients of the second-order ordinary differential equations invariant with respect to one-parameter Lie group.
Ivan Tsyfra
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In this paper, we consider a nonlinear fractional differential equation. This equation takes the form of the Bernoulli differential equation, where we use the Caputo fractional derivative of non-integer order instead of the first-order derivative.
Vasily E. Tarasov
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In this paper, we consider the following third-order singular differential equation with variable coefficients: x‴+a(t)x=f(t,x)+e(t). $$ x'''+a(t)x=f(t,x)+e(t).
Shaowen Yao, Jie Liu
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