List of
publications:
q
My PhD Thesis (1998)
The problems for coupled diffusion systems
and asymptotic expansions with respect to small parameter.
Ivan Franko Unicersity of Lviv, Ukraine
(in Ukrainian)
q
Babak P.P.
(1994)
Asymptotic of periodical solutions of some singularly perturbed
system.
Third International conference named after M.Kravchuk. Book of
Abstracts, Kiev. P.11 (in Ukrainian).
q
Tsymbal V.,
Babak P. (1994)
Some system
of equations with singularly perturbation.
Nonlinear boundary value
problems of mathematical physics and applications: Book of Abstracts. Kiev:
Institute of mathematics NAS Ukraine. P.196 (in Ukrainian).
q
Babak P.P.
(1995)
Asymptotic of solution of singularly perturbed problem for some
system.
All-Ukrainian sciences conference: "Elaboration and using the
mathematical methods for sciences and technical investigations", Book of
Abstracts, Part 2, Differential and integral equations, Lviv. P.9 (in
Ukrainian).
q
Babak P.P.
(1996)
Asymptotic of periodical solutions of singularly perturbed
system.
Herald of Lviv University: Mathematics and Mechanics 43:66-70 (in
Ukrainian).
q
Babak P.P.
(1996)
Asymptotic behavior of solutions of coupled systems with small
parameter.
Herald of Lviv University:Mathematics and Mechanics 45:17-25
(in Ukrainian).
q
Babak P.
(1996)
Asymptotic behaviour of solutions of coupled systems with small
parameter.
Science conference "Nonlinear problems of Analysis": Book of
Abstracts, Ivano-Frankivsk: "Play". P.10 (in Ukrainian).
q
Tsymbal V.,
Babak P. (1996)
Cauchy Problem for singularly perturbed system containing
parabolic and hyperbolic operators.
All-Ukrainian conference
"Differential functional equations and applications": Book of Abstracts. Kiev.
P.192 (in Ukrainian).
q
Babak P.P. (1997)
The first boundary
value problem for coupled diffusion systems with functional
arguments.
Matematychni Studii 7(2):179-186.
q
Babak P.P.,
Tsymbal V.M. (1997)
An Asymptotic expansion of solution of problem for
loaded coupled diffusion system.
Volyn Mathematical Bulletin 4:7-10 (in
Ukrainian).
q
Babak P.
(1997)
Nonlocal boundary problem for coupled diffusion system.
All-Ukrainian sciences conference "New ways to solve of differential
equations": Book of Abstracts, Kiev. P.8 (in Ukrainian).
q
Babak P.P.
(1997)
The first boundary value problem for coupled diffusion systems with
functional arguments.
International conference "Nonlinear Partial
Differential Equations": Book of Abstracts. Donetsk. P.9-10.
q
Babak P.P. (1999)
Coupled diffusion
systems with functional arguments in unbounded domains.
Matematychmi
Studii 12(2):85-89.
q
Babak P.P. (1999)
Asymptotical
behaviour of solution for loaded diffusion problems with small diffusion.
Volyn Mathematical Bulletin 6:9-14 (in Ukrainian).
q
Babak P.P.
(1999)
A class of coupled reaction-diffusion systems subject to nonlocal
temporal conditions.
International conference "Nonlinear Partial
Differential Equations": Book of Abstracts. Lviv. P.10-11.
q
Simon Hubbard, Petro Babak, Sven Th.
Sigurdsson and Kjartan G. Magnússon (2001)
A model of the formation of
fish schools and migrations of fish.
Science Institute Report
RH-28-2001. Science Institute, University of Iceland, Reykjavík 2001. Ecological Modelling (in press).
q
Kjartan G. Magnússon, Petro Babak, Sven
Th. Sigurdsson and Stefán F. Guðmundsson, Eva Hlín Dereksdóttir (2004)
A
continuous density Kolmogorov type model of fish migrations.
Discrete
and Continuous Dynamical Systems Series B. 4(3):697-706.
q
Petro Babak, Simon Hubbard, Kjartan G.
Magnusson, Sven Sigurdsson (2002)
Dynamics of group formation in
collective motion of organisms.
Science Institute Report RH-28-2002.
Science Institute, University of Iceland, Reykjavík 2002.
Submitted to IMA
Journal.
q
Petro Babak, Kjartan G. Magnusson, Sven
Sigurdsson (2003)
Well-posedness and regularity of solutions for
dynamical system arising in collective motion of organisms in 1D bounded
domain.
Science Institute Report RH-12-2003. Science Institute,
University of Iceland, Reykjavík 2002.