Vol. 2 No. 1 (1999)

Articles

• Solutions of weakly nonlinear differential equations bounded on the whole line

  Alexander A. Boichuk

  3-10

• Hill's surfaces in the generalized problem of $(n+1)$ bodies

  Leszek Jan Gadomski

  11-15

• Application of the "Mathematica" computer system to the determination of the coordinates of equilibrium positions in the Grebenikov - Elmabsut gravitation model of four bodies

  Dorota Kozak-Skoworodkin, E. Onishk

  16-18

• The asymptotic solution of the Cauchy problem for the degenerate singularly perturbed linear system in the case of multiple spectrum of the main operator

  O. I. Kocherga, Vasili P. Yakovets

  19-29

• To the theory of geodesic-lines equation

  N. A. Lukashevich, Alexandre V. Chichurin

  30-35

• Boundary value problem for a system of wave equations

  Vasili V. Marinets, V. L. Rego

  36-41

• The approximation of a system of differential-difference equations by a system of ordinary differential equations

  L. A. Piddubna, I. M. Cherevko

  42-49

• Some properties of solutions of differential inclusions with Hukuhara derivative

  Andrej V. Plotnikov, A. V. Tumbrukaki

  50-58

• On the Hamiltonian structure of Benney type hydrodynamic and Boltsman-Vlasov axial kinetic equations

  Anatolij K. Prykarpatski, Denis L. Blackmore, Nikolai Nikolaevich Bogolubov, V. Hr. Samoilenko

  59-82

• Symplectic analysis of deformations of slowly perturbed completely integrable finite-dimensional Hamiltonian systems and associated adiabatic invariants

  Yarema A. Prykarpatsky, Anatoly M. Samoilenko

  83-91

• On some boundary value problems with non-local conditions

  Andrei N. Ronto

  92-108

• A computational modification of the numerical-analytic method for periodic boundary value problems

  Miklós Rontó, Aurél Galántai

  109-114

• On weak regular properties of linear expansion of dynamical systems

  Anatoly M. Samoilenko, Wiktor L. Kułyk, Bogdan Wojtowicz

  115-127

• On the existence of invariant tori of <i>M</i>-frequency oscillation systems and their stability

  V. S. Tkachuk

  128-132

• New methods for the solution of nonlinear equations with singularities

  Andrzej Chmura, Alexey A. Tretyakov

  133-137

• Sufficient conditions of linear stability for equilibrium points in the Newtonian gravitational model of six bodies

  Mirosław Jakubiak

  138-144