Results 231 to 240 of about 385,390 (280)

Ordinary Differential Equations Texts.

The American Mathematical Monthly, 1998
(1998). Ordinary Differential Equations Texts. The American Mathematical Monthly: Vol. 105, No. 4, pp. 377-383.
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Explicit Ordinary Differential Equations

1998
In the last chapter we discussed the numerical treatment of explicit ordinary differential equations. Here, we will consider the more general case, implicit ordinary differential equations.
Edda Eich-Soellner, Claus Führer
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Ordinary Differential Equations

2019
The concept of first integrals of ODEs is introduced. Application is made to Newton’s second law of motion in one dimension.
V. Lakshmikantham, S.G. Deo
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Multivalued Differential Equations and Ordinary Differential Equations

SIAM Journal on Applied Mathematics, 1970
(E) e F(x, t), where F is upper semicontinuous, from known results in the theory of ordinary differential equations. This will be accomplished by showing that, for any F upper semicontinuous and convex, it is always possible to "approximate" the multivalued differential equation (E) by appropriately chosen ordinary differential equations. This would be
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Ordinary Differential Equations

1998
Let f be a C 1 vector field on an open set U in E . If f(x o ) = 0 for some x o ∈U, if a: J →U is an integral curve for f, and there exists some to ∈J such that α(t o ) = x o , show that α(t) = x o for all t∈J. (A point x o such that f(x 0 )= 0 is called a critical point of the vector field.)
A. N. Kolmogorov, A. P. Yushkevich
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Ordinary Differential Equations

2009
In this chapter we will introduce some notions and methods related to ordinary differential equations (ode). We study different representations of the solutions to odes, the singular points and the plane phases of planar odes, and an example of an ode with five equilibrium points.
Hiroyuki Shima, Tsuneyoshi Nakayama
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Ordinary Differential Equations

2016
The ordinary differential equations (ODE ’s in short), or simply differential equations (DE ), are the equations of the type $$\displaystyle{F\left (x,y,y^{{\prime}},y^{{\prime\prime}},\ldots,y^{(n)}\right ) = 0,}$$ relating the variable x, a function y(x) of x, and its derivatives \(\frac{\text{d}y} {\text{d}x} = y^{{\prime}}\), \(\frac{\text{d}
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Ordinary Differential Equations.

The American Mathematical Monthly, 1963
J. C. Burkill, G. Birkhoff, G. Rota
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Ordinary differential equations

2010
A differential equation is an equation involving one or more derivatives of an unknown function. If all derivatives are taken with respect to a single independent variable we call it an ordinary differential equation, whereas we have a partial differential equation when partial derivatives are present.
Alfio Quarteroni, Fausto Saleri, Paola Gervasio   +2 more
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Differential Equations: Ordinary

2000
There is no more useful tool for the study of differential equations, in particular if they are in two dimensions, than the phase portrait. Many important systems both in physics and in economics in fact live in two dimensions. All second order systems are two dimensional.
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