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38 409 (0,171s)

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The Zermelo conditions and higher order homogeneous functions

Invariance under reparametrizations of integral curves of higher order differential equations, including variational equations related to Finsler geometry). It is shown that every integral curve of a syste...

BA - Obecná matematika

  • 2013
  • Jx
  • Link
Result

On curves and curvatures

To express the curvatures of curves in euclidean plane and space is a very standard differential geometric exercise. In the formulas, with respect to a general parametrization of the curve, volumes of parallelograms determined by fi...

Pure mathematics

  • 2018
  • O
  • Link
Result

QUALITATIVE AND NUMERICAL ASPECTS OF A MOTION OF A FAMILY OF INTERACTING CURVES IN SPACE

In this article we investigate a system of geometric evolution equations describing a curvature driven motion of a family of three-dimensional curves in the normal and binormal directions. Evolving curves may be the subject...

Applied mathematics

  • 2022
  • Jimp
  • Link
Result

Conformally invariant operators via Curved casimirs: Examples.

The paper contains applications of the curved Casimir operators for constructions of confomally invariant operators. As examples, some powers of the Laplace operator are described....

BA - Obecná matematika

  • 2010
  • Jx
Result

Scalar differential invariants of Monge?Amp?re equations

We construct differential invariants of generic Monge?Amp?re equations with respect to contact transformations. The invariants are sufficient for solution of the equivalence problem....

BA - Obecná matematika

  • 2005
  • Jx
Result

Affine Moment Invariants Generated by Automated Solution of the Equations

Basic themes of document: Object recognition; moment invariants; partial differential equations...

JD - Využití počítačů, robotika a její aplikace

  • 2008
  • D
Result

Differential invariants of generic hyperbolic Monge - Ampere equations

In this paper basic differential invariants of generic hyperbolic Monge?Ampere equations with respect to contact transformations are constructed and the equivalence problem for these equations is solved....

BA - Obecná matematika

  • 2007
  • Jx
Result

Solutions of some conformally invariant equations of the first order

Conformally invariant operators of the first order, polynomial solutions...

BA - Obecná matematika

  • 2001
  • D
Result

Invariant measures and boundedness in the mean for stochastic equations driven by Levy noise

Existence of invariant measures and average stability in the mean are studied for stochastic differential equations driven by Levy process. In particular, some natural conditions are found that verify stabilization of the equati...

Statistics and probability

  • 2022
  • Jimp
  • Link
Result

Invariant measures for stochastic nonlinear beam and wave equations

Existence of an invariant measure for a stochastic extensible beam equation and for a stochastic damped wave equation with polynomial nonlinearities is proved. It is shown first that the corresponding transition semigroups ...

BA - Obecná matematika

  • 2016
  • Jx
  • Link
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