Armands Gritsans [Armands Gricāns]


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 and F. Sadyrbaev. A two-point boundary value problem for third order asymptotically linear systems, Electronic Journal of Qualitative Theory of Differential Equations, No. 28, 2019, 24 pp. pdf
	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, 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, F. Sadyrbaev, and I. Yermachenko. Dirichlet boundary value problem for the second order asymptotically linear system. International Journal of Differential Equations, Vol. 2016 (2016), Article ID 5676217, 12 pp. http://dx.doi.org/10.1155/2016/5676217
	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. Extension of the example by Moore–Nehari, Tatra Mountains Mathematical Publications, Vol. 63, No. 2., 2015, 115-127. Tatra Mountains Mathematical Publications De Gruyter pdf
	A. Gritsans and F. Sadyrbaev. Unexpected solutions of the Nehari problem, International Journal of Analysis, Vol. 2014 (2014), Article ID 467831, 5 pages. http://dx.doi.org/10.1155/2014/467831 pdf
	A. Gritsans and F. Sadyrbaev. On solvability of boundary value problem for asymmetric differential equation depending on x', Math. Modelling and Analysis, Vol. 18, No. 2, 2013, 176-190. pdf
	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 and F. Sadyrbaev. Nonlinear problems with asymmetric principal part, Math. Modelling and Analysis, Vol. 17, No. 2, 2012, 217-226. pdf
	A. Gritsans and F. Sadyrbaev. Two-parameter nonlinear oscillations: the Neumann problem, Math. Modelling and Analysis, Vol. 16, No. 1, 2011, 23-38. 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. American Institute of Physics
	A. Gritsans and F. Sadyrbaev. Nonlinear spectra: the Neumann problem, Math. Modelling and Analysis, Vol. 14, No. 1, 2009, 33-42. pdf
	A. Gritsans and F. Sadyrbaev. On nonlinear Fučik type spectra, Math. Modelling and Analysis, Vol. 13, No. 2, 2008, 203-210. pdf
	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
	F. Sadyrbaev and A. Gritsans. Nonlinear spectra for parameter dependent ordinary differential equations. Nonlinear Analysis: Modelling and Control, Vol. 12, No. 2, 2007, 253–267. 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, Vol. 11, No. 3, 2006, 243-252. pdf
	A. Gritsans and F. Sadyrbaev. Remarks on lemniscatic functions, Acta Universitatis Latviensis, Vol. 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, Vol. 10, No. 3, 2005, 247-256. pdf
	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.)