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53 339 (0,241s)

Result

On efficiency of the criterion for equivalence of linear differential equations

The study of the effectiveness of the criterion of equivalence of linear differential equations...

BA - Obecná matematika

  • 2008
  • D
Result

Homogeneity and projective equivalence of differential equation fields

We propose definitions of homogeneity and projective equivalence for systems of ordinary differential equations of order greater than two, which allow us to generalize homogeneous differential equation fie...

BA - Obecná matematika

  • 2012
  • Jx
Result

Equivalence and symmetries of second--order differential equations

In this article we investigate the equivalence of underdetermined differential equations and differential equations with deviations of second order with respect{$bar z=bar z(bar x)=M(x)+z(x).$} Our main ai...

BA - Obecná matematika

  • 2008
  • Jx
Result

Asymptotic equivalence of systems of integrodifferential equations

The paper deals with the asymptotic equivalence of systems of integrodifferential and ordinary differential equations...

BA - Obecná matematika

  • 2009
  • D
Result

On square integrable solutions of the third order linear differential equations

We study the problem of asymptotic equivalence in the space of square integrable functions for the linear third order differential equation and the Appel equation. The sufficient conditions to be all solutions of t...

BA - Obecná matematika

  • 2000
  • D
Result

A recursion operator for the universal hierarchy equation via Cartan's method of equivalence

We apply Cartan's method of equivalence to find a Backlund autotransformation for the tangent covering of the universal hierarchy equation. The transformation provides a recursion operator for symmetries of this equation....

BA - Obecná matematika

  • 2014
  • Jx
  • Link
Result

Principal solutions and minimal sets of quasilinear differential equations

Principal solutions of the nonoscillatory half-linear differential equation are investigated and equivalency between the limit, Riccati and integral characterizations of these solutions is proved. The notion of principal so...

BA - Obecná matematika

  • 2004
  • Jx
Result

Divergent CR-equivalences and meromorphic differential equations

Using the analytic theory of differential equations, we construct, in any positive CR-dimension and CR-codimension, examples of formally but not holomorphically equivalent real-analytic CR-submanifolds in complex space....

BA - Obecná matematika

  • 2016
  • Jx
  • Link
Result

An asymptotic formula for decreasing solutions to coupled nonlinear differential systems

of a sub-homogeneous system of two second order quasilinear ordinary differential equations. This result is obtained as an application of an asymptotic equivalence of application to a fourth order nonlinear differentia...

BA - Obecná matematika

  • 2012
  • 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
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