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  

 

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
Education  
  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.

Dr.math., University of Latvia, 1992.

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. Asymptotically stable heteroclinic cycles in discrete-time Z4-equivariant cubic dynamical systems, Journal of Difference Equations and Applications. [accepted September 6, 2020]
  • 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. Boundary value problems for a super-sublinear asymmetric oscillator: exact number of solutions, International Journal of Mathematics and Mathematical Sciences, Vol. 2013 (2013), Article ID 705984, 9 pages. pdf http://dx.doi.org/10.1155/2013/705984
  • 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. American Institute of Physics
  • A. Gritsans and F. Sadyrbaev. Two-parametric nonlinear eigenvalue problems. Electronic Journal of Qualitative Theory of Differential Equations, Proc. 8'th Coll. Qualitative Theory of Diff. Equ., No. 10, 2008, 1-14. EJQTDE
  • 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. 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
Activities  
 
  • Member of the Latvian Mathematical Society
 
  • Member of the International Society of Difference Equations
  • Chairman of the Organizing Committee of the 14th International Conference "Mathematical Modelling and Analysis", May 27 - 30, 2009, Daugavpils, Latvia
 
  • Leader of the European Social Fund project "The modernization of the informative and technical equipment of mathematics and its applications studies in the Daugavpils University"  2006/0245/VPD1/ESF/PIAA/06/APK/3.2.3.2./0053/0065 (01.01.2007.-31.12.2007.)