Vol. 3 No. 1 (2000)

Articles

• Investigation of stability of invariant sets for systems of difference equations by Lyapunov's functions

  L. A. Ali

  3-6

• A Wiener process on a plane with membranes thet are situated on two straight lines as oblique product of two random processes: a module and a phase

  O. V. Aryasova, M. I. Portenko

  7-12

• Weakly-nonlinear boundary value problems for impulsive systems with small concentrated delays of the argument

  Alexander A. Boichuk, Valéry Covachev

  13-30

  • Requires Subscription PDF (Ukrainian)

• A classification of linear operators with minimal polinomial $f(t) = (t-a)(t-b)$, $a \neq b$, acting in a filtered vector space

  V. M. Bondarenko

  31-35

• Diagonal perturbation of regular extensions on dynamical systems on a torus

  A. L. Grechko

  36-43

• On the spectrum of a boundary problem for the biharmonic equation in the half-space

  Yu. S. Djala, Yu. V. Mykytyuk

  44-48

• On the existence of solutions of certain boundary value problems for ordinary differential equations with nonlinearly involved leading derivative

  Yu. V. Zhernovy

  49-52

• Isomorphic Hamiltonian system which are not isomorphic as quantum systems

  Igor V. Mykytyuk

  53-56

• A modified version of the algorithm for computing Vassiliev's invariants of knots

  L. P. Plakhta

  57-62

• Averaging of the integral-differentional inclusion with the multivalued solutions

  Andrej V. Plotnikov, A. V. Tumbrukaki

  63-73

• On the inf-type extremality solution to a Hamilton-Jacobi equation on the sphere $S^N$

  Natalia K. Prykarpatska, Mykola Mykolajovych Prytula

  74-77

• On invariant measure structure of a class of ergodic discrete dynamical systems

  Anatolij K. Prykarpatski

  78-83

• The Lie-algebraic structure of Lax type integrable nonlocal differential-difference equations

  Anatolij K. Prykarpatski, Oksana E. Hentosh, V. Hr. Samoilenko

  84-94

  • Requires Subscription PDF

• Finite-dimensional reductions of a generalized Burgers dynamical system and their integrability

  Yarema A. Prykarpatsky, Mykola Mykolajovych Prytula, Oksana E. Hentosh

  95-102

• Algebraic-analytic aspects of integrability via the Liouville-Arnold theorem of Hamiltonian systems on cotangent spaces: a sympletic theory approach

  Anatoly M. Samoilenko, Anatolij K. Prykarpatski, V. Hr. Samoilenko

  103-123

• Parametric method of inverse scattering transform for general Korteweg - de Vries equation in halfspace

  I.-P. P. Syroid

  124-128