Recent Publications

Department No.24

1. Hentosh O.Ye. Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces // Symmetry, Integrability and Geometry: Methods and Applications. -- 2005. -- Vol. 1.-- 11 p.

2. Hentosh O.Ye., Prykarpatsky A.K. Integrable Coupled Nonlinear Dynamical Systems and a Centrally Extended Operator Lie Algebra // J. Nonl. Math. Phys. -- 2005. -- 12 p.

3. Plachta L. -moves, braid commutators and Vassiliev knot invariants// J. Knot Theory Ramifications .- 2004.- Vol.13, P.809--828.

4. Plachta L. n-trivial knots and the Alexander polynomial// Visnyk of Lviv University.- 2003.- Vol.61, P.161-171.

5. Plachta L. Double trivalent diagrams and n-hyperbolic knots// Methods Func. Anal. Topol. -Vol.10, P.43-56.

6. Plachta L. Genus of knots, constructible sets and Vassiliev invariants // Reports of NAS of Ukraine. Ser. A.- 2005.- N.10, P.29-34.

7. Plachta L. Knots, satellite operarions and invariants of finite order, submit. to "J. Knot Theory Ramifications".

8. Prykarpatsky A.K., Blackmore D.L., Hentosh O.Y. The finite-dimensional Moser type reductions of modified Boussinesq and super Korteweg de Vries Hamiltonian systems via gradient holonomic algorithm and dual moment maps// New Frontiers in Physics, Proc. of Intern. Conf. at the Institute for Basic Res., Monteroduni, Italy, Hadronic Press, Vol. 11, P. 271-292, 1996.

9. Prykarpatsky Y.A., Blackmore D.L., Samuliak R.V. The integrability of Lie-invariant geometric objects generated by Ideals in Grassmann algebras//J. of Nonl. Math. Phys. -- 1998. -- Vol. 5, N 54.

10. Prykarpatsky~A.~K., Brzychczy~S., Samoilenko~V.~Hr. Finite-dimensional reductions of conservative dynamical systems and numerical analysis.~I // Ukr. Math. J. -- 2001. -- Vol.~53, N~2. -- P.~220-228.

11. Prykarpatsky A.K., Hentosh O.Ye. The Lie-Algebraic Structure of (2+1)-Dimensional Lax Type Integrable Nonlinear Dynamical Systems // Óźš. ģąņ. ęóšķ. -- 2004. -- Ņ. 56, N 7. -- Ń. 939-946.

12. Prykarpatsky Y.A., Samoilenko A.M., Prykarpatsky A.K., Samoylenko V.Hr. The Delsarte-Darboux type binary transformations and theirdifferenetial-geometric and operator staructure. arXiv: math-ph/0403055 v 1 29 Mar 2004.

Group of optimization of controlled dynamical systems

1. Victor E. Berbyuk, Miroslav V. Demydyuk, Bogdan A. Lytvyn  Mathematical Modeling and Optimization of Walking of Human Being with Prosthesis of Crus // Journal of Automation and Information Sciences, 2005.- Vol. 37, No. 6, P. 46-60. 

2.  Berbyuk V., Demydyuk M., Lytwyn B. Energy-Optimal Control of Underactuated Bipedal Locomotion Systems // MULTIBODY DYNAMICS 2005, ECCOMAS Thematic Conference Madrid, Spain, 21–24 June 2005. –  P.1-15.

3. Berbyuk V., Boström A., Lytwyn B., Peterson B. Energy-Optimal Control of Bipedal Locomotion Systems // J. Stability and Control: Theory and Application (SACTA). – 2002. – Vol. 4. No 2. – P.74-89.

4. Nishchenko N. Climate modeling in a transport container. // TU/e, – Eindhoven, 2004. – 54p.

5.  Nishchenko N., Vinken E.  Blend rheology modelling. // TU/e, – Eindhoven, 2003. – 31p.

6.  Nishchenko N., Barysenka T., Hanchevici C., Machyshyn I., Rychagivskyy A. Determination of geometries using a capacitance measurement. // TU/e, – Eindhoven, 2003. – 13p.

7. V. E. Berbyuk and B. A. Lytvyn Mathematical Modeling of Human Walking on the Basis of Optimization of Controlled Processes in Biodynamical Systems // Journal of Mathematical Sciences, Vol. 2001.-Vol. 104, No. 5, p. 1575-1586.

8. Valkovskii V.A., Yadzhak M.S. The optimal solution algorithm for the two-dimensional problem of digital filtering // Journal of automation and information sciences. – 1999. –  Vol.31. – N 12. – P. 72–80.

9.  Jadzhak M.S. On optimal in one class algorithm for solving three-dimensional digital filtering problem // Journal of automation and information sciences. – 2001. –  Vol.33. – N 1. – P. 51–63.

10.  Jadzhak M.S. Algorithms with limited parallelism for solving one digital filtering problem // Journal of automation and information sciences. – 2001. –  Vol.33. – N 10. – P. 64–73.

11.  Jadzhak M.S. On construction of algorithms with the bounded parallelism for solving problems of  digital filtering // Journal of automation and information sciences. – 2002. –  Vol.34. – N 12. – P. 12–21.

12.  Jadzhak M.S. On a numerical algorithm of solving the cascade digital filtration problem // Journal of automation and information sciences. – 2004. –  Vol.36. – N 6. – P. 23–34.

13. Polishchuk A.D. An integral equation solution of the Dirichlet and Neumann prob­lems for the Laplacian in  // Proc.of the VIII-th Intern. Seminar “Direct and Inver­se Prob­lems of Electromagnetic and Acoustic Wave Theory” (DIPED-2003), Lviv, Uk­raine, Sept. 23-25, 2003.- šš.98-101.

14.  Polishchuk A.D. Construction of boundary operators for the Laplacian. – I. Us­ing of simple layer po­tential // Proc. of the X-th Intern. Seminar “Direct and invers Prob­lems of  Elect­ro­­magnetic and Acoustic Wave Theory” (DIPED-2005),  Sep­tember 12-15, 2005, Lviv, Ukraine. pp.137-139

15.  Polishchuk A.D. Construction of boundary operators for the Laplacian. – II. Us­ing of double layer po­tential // Proc. of the X-th Intern. Seminar “Direct and in­vers Prob­lems of  Elect­ro­­magnetic and Acoustic Wave Theory” (DIPED-2005),  September 12-15, 2005, Lviv, Ukraine. pp.140-142

16.  Polishchuk A.D. Construction of boundary operators for the Laplacian in the case of tired boundary surface. – I. Using of simple layer po­tential // Proc.of the XI-th In­tern. Seminar “Direct and invers Problems of  Elect­ro­­magnetic and Acou­s­tic Wave Theory” (DIPED-2006),  October 12-13, 2006, Tbilisi, Georgia.- pp.153-156.

17.  Polishchuk A.D. Construction of boundary operators for the Laplacian in the case of tired boundary surface. – II. Using of double layer po­tential // Proc.of the XI-th Intern. Seminar “Direct and invers Problems of  Elect­ro­­magnetic and Acous­tic Wave Theory” (DIPED-2006),  October 12-13, 2006, Tbilisi, Georgia.- pp.157-160.

18.  Polishchuk A.D. Simple and double layer potentials in the Hilbert spaces // Proc. of the VIII-th Intern. Seminar “Direct and Inverse Problems of Electromag­netic and Acoustic Wave Theory” (DIPED-2003), Lviv, Ukraine, Sept. 23-25, 2003.- šš.94-97.

19.  Polishchuk A.D. Solution of searched function jump problem for the Laplacian in R³ by means of double layer po­tential // Proc. of the VIII-th Intern. Seminar “Di­rect and invers Problems of  Elect­ro­­magnetic and Acoustic Wave Theory” (DIPED-2004),  Oc­to­ber 11-14, 2004, Tbilisi, Georgia.- šš.51-54.

20.  Polishchuk O., Tyutyunnyk M., Iadjak M. About evaluation of the complex control systems // Proc. of the international conference on Computer Science and Information Technologies, Lviv, Ukraine, September 28 th–30 th 2006. – Lviv, 2006. – P. 91–95.