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, 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.
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, F. Sadyrbaev and I. Yermachenko. Dirichlet boundary value problem for the second order asymptotically linear systemInternational Journal of Differential Equations, V. 2016 (2016), Article ID 5676217, 12 pages http://dx.doi.org/10.1155/2016/5676217. Hindawi
  • A. Gritsans and F. Sadyrbaev. The Nehari solutions and asymmetric minimizers, Proceedings of the 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain, July 7-11, 2014),  2015, 562-568. American Institute of Mathematical Sciences
  • A. Gritsans and F. Sadyrbaev. Unexpected solutions of the Nehari problemInternational Journal of Analysis, V. 2014 (2014), Article ID 467831, 5 pages doi:10.1155/2014/467831. Hindawi pdf
  • A. Gritsans and F. Sadyrbaev. On solvability of boundary value problem for asymmetric differential equation depending on x'Math. Modelling and Analysis, V. 18, N. 2,  2013, 176-190. Taylor & Francis
  • 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, V. 2013 (2013), Article ID 705984, 9 pages doi:10.1155/2013/705984. Hindawi pdf
  • A. Gritsans and F. Sadyrbaev. Nonlinear problems with asymmetric principal part. Math. Modelling and Analysis, V. 17, N. 2,  2012, 217-226. Taylor & Francis

  • A. Gritsans and F. Sadyrbaev. Two-parameter nonlinear oscillations: the Neumann problem. Math. Modelling and Analysis, V. 16, N. 1,  2011, 23-38. Taylor & Francis

  • 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, V. 1124, 185-194. American Institute of Physics

 
 
  • A. Gritsans and F. Sadyrbaev. Two-parametric nonlinear eigenvalue problems. E. J. Qualitative Theory of Diff. Equ., Proc. 8'th Coll. Qualitative Theory of Diff. Equ., N. 10, 2008, 1-14. EJQTDE

 
  • F. Sadyrbaev and A. Gritsans. Nonlinear spectra for parameter dependent ordinary differential equations. Nonlinear Analysis. Modelling and Control, V. 12, N. 2, 2007, 253-267. LANA pdf

 
  • 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. Math. Modelling and Analysis, V. 11, N. 1,  2006, 243-252. Taylor & Francis pdf
 
  • A. Gritsans and F. Sadyrbaev. Remarks on lemniscatic functions. Acta Universitatis Latviensis, V. 688. Mathematics, 2005, 39-50.  pdf dspace.lu.lv

 
  • A. Gritsans and F. Sadyrbaev. The Taylor series expansion coefficients for solutions of the Emden-Fowler type equations. Math. Modelling and Analysis, V. 10, N. 1, 2005, 247-256. Taylor & Francis pdf

 
  • А.С. Грицанс. О строении киллинговых f-многообразий, Изв. вузов. Матем., 1992, № 6, 49–57. Math-Net.Ru
  • A.S. Gritsans. On construction of Killing f-manifolds, Izv. Vyssh. Uchebn. Zaved. Mat., N. 6, 1992, 49–57. Math-Net.Ru
 
  • А.С. Грицанс. О геометрии киллинговых f-многообразий, УМН, 1990, том 45, выпуск 4(274), 149–150. Math-Net.Ru
  • A.S. Gritsans. On the geometry of Killing f-manifolds, Russ. Math. Surv., V. 45, N.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.)