Results 211 to 220 of about 38,068 (262)

Understanding Trade-Offs in Continuous Neural Representations for Diffeomorphic Image Registration: A Comparative Study of Implicit Neural Representations and Neural Ordinary Differential Equations. [PDF]

J Imaging
Rodriguez-Sanz S, Paesa-Lia C, Hernandez M.   +2 more
europepmc   +1 more source

Comparative analytical study of the ([Formula: see text])-dimensional Heisenberg spin chain equation using the modified Kudryashov and unified Riccati methods. [PDF]

Sci Rep
Jawarneh Y, Mukhtar S, Islam S, Amadou Y.   +3 more
europepmc   +1 more source

Different Effects of Induced Plant Defense on Population Densities of Specialist and Generalist Insects: An Explanation by Mathematical Modeling. [PDF]

Ecol Evol
Chakraborty S, Schuster S.
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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On Implicit Ordinary Differential Equations

IMA Journal of Numerical Analysis, 1984
A geometric analysis of the problem \(f(x,y,y')=0\) is given which may be of value in developing numerical methods for solution near the singular points where \(fy'=0\). In particular, the approach here shows problems of switching branches when computing numerically a solution near an envelope, as noted by \textit{L. Fox} and \textit{D. F.
A. JEPSON, A. SPENCE
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Uniqueness for ordinary differential equations

Mathematical Systems Theory, 1975
Various criteria are known for assuring uniqueness of the solution of a system ofn ordinary differential equations,x′ = f(t, x), with initial conditionx(t0) = x0. Most of these involve some sort of relaxed Lipschitz condition onf(t, x), with respect tox, valid on an open setD ⊂ R1+n which contains the point (t0, x0).
Stephen R. Bernfeld, Rodney D. Driver, V. Lakshmikantham   +2 more
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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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Reducible Ordinary Differential Equations

Journal of Nonlinear Science, 2006
The class of reducible differential equations under consideration here includes the class of symmetric systems, and examples show that the inclusion is proper. We first discuss reducibility, as well as the stronger concept of complete reducibility, from the viewpoint of Lie algebras of vector fields and their invariants, and find Lie algebra conditions
Karl Peter Hadeler, Sebastian Walcher
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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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Ordinary Differential Equations in Rn

1984
We see that numerous applications to biology, chemistry, economics and medicine have recently been added to the traditional ones in mechanics, hence ordinary differential equations become again a fundamental tool for understanding scientific world. In the last yeares interest for non linear analysis has steadily grown, and the theory of non linear ...
PICCININI, Livio Clemente, STAMPACCHIA G, VIDOSSICH G.   +2 more
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