Prof. Kipnis publications

 

Mathematical Logic

1. On a property of propositional formulas, Soviet Math. Dokladi, 1967, v. 174, no 2  [Translated from Doklady Akademii Nauk SSSR, 1967, v. 174, no 2.  p. 277-278].

Mathematical Physics

2. Boolean averaging in a Statistical Mechanics model and in analog – to – Digital Converter, Russ. J. of Math. Phys., v. 4, No 3, 1996, p. 132-138.

3. Periodic Ground State Configurations in a One – Dimensional Hubbard Model of Statistical Mechanics Mathematical Physics, Analysis and Geometry, 2000, v. 3, p. 101-115.

Delay Differential Equations

4. Stability of zero solution of delay differential equation (with M. Vaguina), Mathematical Notes, 2003, v. 74, no. 5 [Translated from Matematicheskie Zametki, 2003,  v. 74, no. 5, p. 786-789].

5. Stability criteria for a nonlinear nonautonomous system with delays (with L.Idels),  Applied Mathematical Modelling, v. 33, Issue 5, 2009, p.  2293-2297. (to download, 297 kb)

Difference Equations

6. Stability of the trinomial linear difference equations with two delays (with R. Nigmatulin), Automation and Remote Control, 2004, v. 65, no 11, p. 1710-1723 [Translated from Avtomatika I Telemechanika, no 11, p. 25-39]. (to download, 216 kb)

7. Stability of Delay Difference Systems (with D. Komissarova), Advances in Difference Equations, V. 2006, p. 1-9, Article ID31409,  http://www.hindawi.com (to download, 686 kb)

8. A Note on Explicit Stability Conditions of Autonomous Higher Order Difference Equations (with D. Komissarova), Journal of Difference Equ. And Appl., 2007, v. 13, No 5, p. 457-461. (to download, 80 kb)

Sudoku Puzzles

9. Russian translation of the paper

     J.F. Crook, A Pencil-and-Paper Algorithm for Solving Sudoku Puzzles, Notices of AMS, V. 56, No. 4 (April 2009), pp. 460-468 (to download, 838 kb) With the permission of the author and American Mathematical Society.