Fifty years devoted to science (on the 70th birthday of Anatolii Mykhailovych Samoilenko) Ya. A. Mitropol’skiiYu. M. Berezans’kyiM. I. Ronto Announcement 12 August 2008 Pages: 1 - 5
Asymptotic behavior of positive solutions of fourth-order nonlinear difference equations R. P. AgarwalJ. V. Manojlović OriginalPaper 12 August 2008 Pages: 6 - 28
Connections to fixed points and Sil’nikov saddle-focus homoclinic orbits in singularly perturbed systems F. BattelliK. J. Palmer OriginalPaper 12 August 2008 Pages: 29 - 58
On one mathematical problem in the theory of nonlinear oscillations E. A. Grebenikov OriginalPaper 12 August 2008 Pages: 59 - 65
On one bifurcation in relaxation systems A. Yu. KolesovE. F. MishchenkoN. Kh. Rozov OriginalPaper 12 August 2008 Pages: 66 - 77
On sharp conditions for the global stability of a difference equation satisfying the Yorke condition O. I. NenyaV. I. TkachenkoS. I. Trofymchuk OriginalPaper 12 August 2008 Pages: 78 - 90
Some modern aspects of the theory of impulsive differential equations M. O. PerestyukO. S. Chernikova OriginalPaper 12 August 2008 Pages: 91 - 107
On extension of the Sturm-Liouville oscillation theory to problems with pulse parameters Yu. V. PokornyiM. B. ZverevaS. A. Shabrov OriginalPaper 12 August 2008 Pages: 108 - 113
An infinite-dimensional Borsuk-Ulam-type generalization of the Leray-Schauder fixed-point theorem and some applications A. K. Prykarpats’kyi OriginalPaper 12 August 2008 Pages: 114 - 120
Stability for retarded functional differential equations M. FedersonŠ. Schwabik OriginalPaper 12 August 2008 Pages: 121 - 140
Periodic moving waves on 2D lattices with nearest-neighbor interactions M. Fečkan OriginalPaper 12 August 2008 Pages: 141 - 158
Polynomial quasisolutions of linear second-order differential-difference equations V. B. CherepennikovP. G. Ermolaeva OriginalPaper 12 August 2008 Pages: 159 - 175