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 and link to the summary). Advisor: prof. V. Kirichenko.
 

Teaching  
  • Academic bachelor study programme "Mathematics": mathematical software, graph theory, mathematics history, functional analysis, Lebesgue measure and integral, theory of functions of a complex variable

  • Academic master study programme "Mathematics": mathematical software, discrete dynamical systems, discrete mathematics

  • Doctoral study programme "Mathematics": mathematical software

Selected publications  
   
  • A. Gritsans, On a one-parameter discrete-time Z4-equivariant cubic dynamical system, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 29, No. 4, 1950052 (2019), 15 pp. World Scientific
  • A. Gritsans and F. Sadyrbaev, The Nehari solutions and asymmetric minimizers, in: Proceedings of the 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain, July 7-11, 2014), Discrete and Continuous Dynamical Systems,  2015, Suppl., 562-568. American Institute of Mathematical Sciences 
  • 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, 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
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