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Explicit Ordinary Differential Equations [PDF]

, 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

1978
Linear differential equations with constant coefficients are an important area of application of the Laplace transform. As a prelude to the discussion of such problems we discuss first two particularly simple examples, since the connection with the classical methods of solution is readily apparent in these cases.
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Ordinary Differential Equations [PDF]

, 1983
We link here directly with the shrinking lemma, and this section may be read immediately after the first section of the preceding chapter.
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Ordinary differential equations

2015
A large part of the natural phenomena occurring in physics, engineering and other applied sciences can be described by a mathematical model, a collection of relations involving a function and its derivatives.
Anita Tabacco, Claudio Canuto
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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 [PDF]

, 2013
These days everyone talks about “impact” as something that can be measured in terms of citations within a year or two, but the impact of many important contributions to science can be looked at in other, more perceptive, ways. I believe this is especially true of [GA14].
Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos S. Papageorgiou   +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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Ordinary Differential Equations

1970
The numerical treatment of ordinary differential equations is a field whose scope has broadened quite a bit over the last 50 years. In particular, a whole spectrum of different stability conditions has developed. Since this chapter is not the place to present all details, we concentrate on the most basic concept of stability.
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Ordinary Differential Equations

2000
We shall speak of ordinary differential equation if an equation contains time-dependent (or more generally, scalar-dependent) variables as well as their derivatives with respect to time (or another scalar). Since we shall always consider ordinary differential equations in this book, we shall drop the adjective ordinary. We shall see the deep similarity
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Ordinary Differential Equations.

The American Mathematical Monthly, 1963
J. C. Burkill, Gian-Carlo Rota, G. Birkhoff   +2 more
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