Results 221 to 230 of about 392,840 (275)

The Analytical Solutions to a Cation-Water Coupled Multiphysics Model of IPMC Sensors. [PDF]

Sensors (Basel)
Ishikawa K, Asaka K, Zhu Z, Hiruta T, Takagi K.   +4 more
europepmc   +1 more source

Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]

Sci Rep
Almetwally EM, Zayed MA, Abo-Hashem SI, Sadat R, Mabrouk SM, Rashed AS.   +5 more
europepmc   +1 more source

<i>P</i>-adic <i>L</i>-functions for GL ( 3 ). [PDF]

Math Ann
Loeffler D, Williams C.
europepmc   +1 more source

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Ordinary Differential Equations

2012
In this chapter we provide an overview of the basic theory of ordinary differential equations (ODE). We give the basics of analytical methods for their solutions and also review numerical methods. The chapter should serve as a primer for the basic application of ODEs and systems of ODEs in practice.
K. F. Riley, M. P. Hobson
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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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