Results 281 to 290 of about 400,456 (327)

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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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.

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

1975
Many problems of higher analysis presuppose a knowledge of ordinary differential equations; for example, problems of potential theory, of the calculus of variations, of theoretical physics and of partial differential equations (see Chapter 37.). Beyond this, a wide field of applications is opened up by ordinary differential equations; for example, the ...
W. Gellert, S. Gottwald, M. Hellwich, H. Kästner, H. Küstner   +4 more
openaire   +1 more source

Anomalous Hall antiferromagnets

Nature Reviews Materials, 2022
Libor Šmejkal, Allan H Macdonald, Jairo Sinova   +2 more
exaly  

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 and Linear Systems of Ordinary Differential Equations

2022
Mohammad Ashraf, Vincenzo De Filippis, Mohammad Aslam Siddeeque   +2 more
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Cosmological constraints on dark matter interactions with ordinary matter

Physics Reports, 2022
Manuel A Buen-Abad, Rouven Essig, David McKeen   +2 more
exaly