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Armands Gritsans |
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Leading
researcher, associate professor, Dr.math. |
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Mathematical
Research Center |
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Department of
Technology |
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Institute of
Life Sciences and Technology |
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Daugavpils
University |
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Parades street 1 |
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LV-5400,
Daugavpils, Latvia |
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armands.gricans@du.lv |
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Research interests |
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Nonlinear
boundary problems for ordinary differential equations (asymmetric
problems, qualitative behavior of solutions of nonlinear differential
equations), discrete dynamical
systems,
differential-geometric structures on manifolds
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Education |
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Dr.math., University of Latvia, 1992.Ph.D.
(Candidate of Physico-Mathematical Sciences), Moscow State Pedagogical University, 1991,
thesis: "Differential geometry of Killing f-structures on manifolds"
(summary and
link to the summary).
Advisor:
prof. V. Kirichenko.
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Teaching |
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Academic
bachelor study programme "Mathematics": mathematical software, graph
theory, mathematics history, functional analysis, Lebesgue measure and
integral, theory of functions of a complex variable
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Academic master
study programme "Mathematics": mathematical software, discrete
dynamical systems, discrete mathematics
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Doctoral study
programme "Mathematics": mathematical software
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Selected publications |
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- A. Gritsans, V. Koliskina, A.
Kolyshkin, and
F. Sadyrbaev,
On the stability of a steady convective flow in a vertical layer of a
chemically reacting fluid, in: 9th edition of the International
Conference on Computational Methods for Coupled Problems in Science and
Engineering (COUPLED
PROBLEMS 2021), Vol. IS34 - Multiphysics Problems, 2021, 10
pp.
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- A. Gritsans, A. Kolyshkin, D.
Ogorelova,
F. Sadyrbaev,
I. Samuilik, and
I. Yermachenko,
Solutions of nonlinear boundary value problem with applications to
biomass thermal conversion,
Proceedings of 20th International Scientific Conference "Engineering for
rural development" (May 26-28, Jelgava, Latvia), 2021, pp.
837-842.
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A. Gritsans
and F. Sadyrbaev,
The Nehari solutions and asymmetric minimizers, Discrete Contin. Dyn. Syst.
2015, Dynamical systems, differential equations and applications,
10th AIMS Conference. Suppl.,
2015,
562-568.

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A. Gritsans,
F. Sadyrbaev,
and N. Sergejeva, Two parameter nonlinear eigenvalue problems,
Mathematical Models in Engineering, Biology, and Medicine, Proceedings of
the International Conference on Boundary Value Problems,
American Institute of Physics Conference Proceedings, 2009,
Vol. 1124, 185-194.
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A. Gritsans
and F. Sadyrbaev, On the Nehari solutions, Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak
series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and
contributed talks. Comenius University Press, Bratislava, 2007, pp.
437-446.
Czech
Digital Mathematics Library
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A. Gritsans
and F. Sadyrbaev,
Characteristic numbers of
non-autonomous Emden-Fowler type equations. Proceedings: 10th
International Conference "Mathematical Modelling and Analysis 2005'' and
2nd International Conference "Computational Methods in Applied
Mathematics'', 403--408, Technika, Vilnius, 2005.
pdf

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A. Gritsans
and F. Sadyrbaev,
Remarks on lemniscatic functions, Acta
Universitatis Latviensis, Vol. 688. Mathematics, 2005, 39-50.
pdf
dspace.lu.lv
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- А.С. Грицанс, О строении киллинговых f-многообразий,
Изв. вузов. Матем., 1992,
No. 6, 46–54.

- A.S. Gritsans, On construction of Killing f-manifolds, Izv. Vyssh.
Uchebn. Zaved. Mat., No. 6, 1992, 46–54.

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- А.С. Грицанс, О геометрии киллинговых f-многообразий, УМН, 1990,
том 45, выпуск 4(274), 149–150.

- A.S. Gritsans, On the geometry of Killing f-manifolds, Russ. Math. Surv., Vol. 45, No. 4, 1990, 168-169.
IOPscience
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A.S. Gritsans, Some distributions on Killing f-manifolds
(Russian), Webs and quasigroups, pp. 142-146, Kalinin. Gos. Univ.,
Kalinin, 1990.
pdf

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A.S. Gritsans, On a hyperspherical mapping and the Peterson
transformation of the surface
Vp\subset En by means of the medial normal
basis vector (Russian), Mathematics, I, pp. 152-161,
Latv.
Univ. Zināt. Raksti, 552, Latv. Univ., Riga, 1990.
pdf

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Activities |
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