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
  LV-5400, Daugavpils, Latvia
  armands.gricans@du.lv

 

     
Research interests  


N
onlinear boundary problems for ordinary differential equations (asymmetric problems, qualitative behavior of solutions of nonlinear differential equations), discrete dynamical systems, differential-geometric structures on manifolds
 

Education  

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). 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.

Selected publications  
   
  • A. Gritsans and F. Sadyrbaev, On differential equations with exponential nonlinearities, Applied Numerical Mathematics, Vol. 207, 2025, pp. 558-568.
  • 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, 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. 1-16. 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, 562-568.
  • 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, 176-190. 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, 185-194.
  • 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
  • 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 7-8, 2006, Liepaja, Latvia), Liepaja, p. 28, 2006. pdf
  • 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
  • A. Gritsans and F. Sadyrbaev, Remarks on lemniscatic functions, Acta Universitatis Latviensis, Vol. 688. Mathematics, 2005, 39-50.  pdf dspace.lu.lv
  • 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.
  • 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
  • A.S. Gritsans,  Some distributions on Killing f-manifolds (Russian), Webs and quasigroups, pp. 142-146, Kalinin. Gos. Univ., Kalinin, 1990. pdf
  • 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
  • A.S. Gritsans,  On the geometry of a family of middle normals of a surface Vp\subset En (Russian), Differentsial'naya Geom. Mnogoobraz. Figur, No. 20, 1989, pp. 34-37. pdf
  • A.S. Gritsans, p-surfaces in En with a general family of mean normals (Russian), Differentsial'naya Geom. Mnogoobraz. Figur, No. 18, 1987, p. 25-27. pdf
  • A.S. Gritsans, On the family of middle normals of the surface V2\subset E5 (Russian), Differentsial'naya Geom. Mnogoobraz. Figur, No. 17, 1986, pp. 21-25. pdf
Activities