


Armands Gritsans 




Leading
researcher, associate professor, Dr.math. 

Mathematical
Research Center 

Department of
Technology 

Institute of
Life Sciences and Technology 

Daugavpils
University 

Parades street 1 

LV5400,
Daugavpils, Latvia 

armands.gricans@du.lv 





Research interests 

Nonlinear
boundary problems for ordinary differential equations (asymmetric
problems, qualitative behavior of solutions of nonlinear differential
equations), discrete dynamical
systems,
differentialgeometric structures on manifolds

Education 

Dr.math., University of Latvia, 1992.Ph.D.
(Candidate of PhysicoMathematical Sciences), Moscow State Pedagogical University, 1991,
thesis: "Differential geometry of Killing fstructures on manifolds"
(summary and
link to the summary).
Advisor:
prof. V. Kirichenko.

Teaching 


First level study
programme "Information Technologies": discrete mathematics.

Professional
bachelor study programme "Information Technologies": linear
algebra, analytical geometry, discrete mathematics, number theory.

Academic master
study programme "Computer Science": discrete dynamical systems.

Doctoral study
programme "Mathematics": computers for mathematics, differential
equations.

Recent conference abstracts 


A. Gritsans, V.
Koliskina, A. Kolyshkin, and
F. Sadyrbaev,
Linear stability of a combined convective flow in an annulus, Abstracts
of the 26th International Conference Mathematical Modelling and Analysis
(May 30  June 2, 2023, Jurmala, Latvia), 2023, p. 17.
pdf


A. Gritsans, A.
Kolyshkin, D. Ogorelova,
F. Sadyrbaev,
I. Samuilik, and
I. Yermachenko,
Multiplicity results for boundary value problems with the Arrhenius
nonlinearity, Abstracts of the 26th International Conference
Mathematical Modelling and Analysis (May 30  June 2, 2023, Jurmala,
Latvia), 2023, p. 18.
pdf

Selected publications 



 A. Gritsans, A. Kolyshkin, F.
Sadyrbaev, and I. Yermachenko, On the stability of a convective flow
with nonlinear heat sources,
Mathematics, 11(18): 3895, 2023.

 A. Gritsans, V. Koliskina, A.
Kolyshkin, and
F. Sadyrbaev,
Linear stability of a combined convective flow in an annulus,
Fluids,
8(4):130, 2023.


 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.

 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 2628, Jelgava, Latvia), 2021, pp.
837842.





A. Gritsans,
F. Sadyrbaev,
and I. Yermachenko,
Dirichlet
boundary value problem for a system of n second order asymptotically
asymmetric differential equations,
Electronic
Journal of Differential Equations, Vol. 2018 (2018), No. 35, pp. 116.
pdf



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,
562568.




A. Gritsans
and F. Sadyrbaev,
On solvability of boundary value
problem for asymmetric differential equation depending on x', Mathematical
Modelling and Analysis,
Vol. 18, No. 2,
2013,
176190.
pdf








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, 185194.







A. Gritsans
and F. Sadyrbaev, On the Nehari solutions, Proceedings of Equadiff 11, International Conference on Differential Equations. CzechoSlovak
series, Bratislava, July 2529, 2005. [Part 2] Minisymposia and
contributed talks. Comenius University Press, Bratislava, 2007, pp.
437446.
Czech
Digital Mathematics Library




 A. Gritsans and F. Sadyrbaev, On sine
and cosine type functions, arising in the theory of nonlinear
differential equations, Acta Societatis Mathematicae Latviensis, no. 7,
Abstracts of the 6th Latvian Matematical Conference (April 78, 2006,
Liepaja, Latvia), Liepaja, p. 28, 2006.
pdf


A. Gritsans
and F. Sadyrbaev,
Characteristic numbers of
nonautonomous EmdenFowler type equations. Proceedings: 10th
International Conference "Mathematical Modelling and Analysis 2005'' and
2nd International Conference "Computational Methods in Applied
Mathematics'', 403408, Technika, Vilnius, 2005.
pdf


A. Gritsans
and F. Sadyrbaev,
Remarks on lemniscatic functions, Acta
Universitatis Latviensis, Vol. 688. Mathematics, 2005, 3950.
pdf
dspace.lu.lv


A. Gritsans
and F. Sadyrbaev, The
Taylor series expansion coefficients for solutions of the EmdenFowler
type equations,
Mathematical Modelling and Analysis, Vol. 10, No.
3, 2005, 247256.
pdf




 А.С. Грицанс,
О строении киллинговых fмногообразий,
Изв. вузов. Матем., 1992,
No. 6, 46–54.
 A.S. Gritsans,
On construction of Killing fmanifolds, Izv. Vyssh.
Uchebn. Zaved. Mat., No. 6, 1992, 46–54.

 А.С. Грицанс,
О геометрии киллинговых fмногообразий, УМН, 1990,
том 45, выпуск 4(274), 149–150.
 A.S. Gritsans, On the geometry of Killing fmanifolds, Russ. Math. Surv., Vol. 45, No. 4, 1990, 168169.
IOPscience


A.S. Gritsans, Some distributions on Killing fmanifolds
(Russian), Webs and quasigroups, pp. 142146, Kalinin. Gos. Univ.,
Kalinin, 1990.
pdf


A.S. Gritsans, On a hyperspherical mapping and the Peterson
transformation of the surface
V_{p}\subset E_{n} by means of the medial normal
basis vector (Russian), Mathematics, I, pp. 152161,
Latv.
Univ. Zināt. Raksti, 552, Latv. Univ., Riga, 1990.
pdf





Activities 



