Inara Yermachenko  

 

 

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
inara.jermacenko@du.lv

Scopus

https://orcid.org/0000-0001-6662-9942
Research interests  

 

Nonlinear boundary value problems for ordinary differential equations, didactics of modern elementary mathematics, mathematical education

Education  
 

Dr. math, Daugavpils University, Latvia, 2007, Ph.D. thesis "Quasilinearization and types of solution to nonlinear boundary value problems" Advisor: prof. F. Sadyrbaev.

Teaching  
  • Academic bachelor study programme "Mathematics": ordinary differential equations, equations of mathematical physics, numerical analysis, real functions
 
  • Academic master study programme "Mathematics": boundary value problems for ordinary differential equations, partial differential equations, calculus of variations, methods of modern elementary mathematics
Recent 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
 
  • I. Yermachenko and F. Sadyrbaev. On a problem for a system of two the second order differential equations via the theory of vector fields. Nonlinear Analysis. Modelling and Control, V. 20, N. 2, 2015, 175-189. LANA
 
  • M. Dobkevich, F. Sadyrbaev, N. Sveikate and I. Yermachenko. On types of solutions of the second order nonlinear boundary value problems. Abstract and Applied Analysis, V. 2014 (2014), Article ID 594931, 9 pages, http://dx.doi.org/10.1155/2014/594931. Hindawi
 
  • I. Yermachenko and F. Sadyrbaev. Quasilinearization and multiple solutions of the second order nonlinear boundary value problem, Journal of Control Engineering and Technology, Vol. 4, N. 1, 2014, 1-8. EBSCO pdf
 
  • I. Yermachenko and F. Sadyrbaev. Quasilinearization technique for Φ-Laplacian type equations. International Journal of Mathematics and Mathematical Sciences, V. 2012 (2012), Article ID 975760, 11 pages doi:10.1155/2012/975760. Hindawi
 
  • I. Yermachenko. Maximum principle and the fourth order boundary value problem. Mathematical Modelling and Analysis, V. 16, N. 1,  2011, 143-152. Taylor & Francis
 
  • I. Yermachenko. Two-point boundary value problems at resonance. Mathematical Modelling and Analysis, V. 14, N. 2,  2009, 247-257. Taylor & Francis
 
  • F. Sadyrbaev and I. Yermachenko. Multiple solutions of nonlinear boundary value problems for two-dimensional differential systems. Dynamical Systems and Differential Equations.   Proc. of  the 7th AIMS International Conference (Arlington, TX, USA, 2008), DCDS Supplement 2009, 659 - 668. American Institute of Mathematical Sciences
 
  • F. Sadyrbaev and I. Yermachenko. Multiple solutions of two-point nonlinear boundary value problems. Nonlinear Analysis: TMA, V. 71, N. 12, 2009, e176 – e185, Proc. WCNA 2008, Orlando FL, USA, 2008. Elsevier
 
  • I. Yermachenko. Multiple solutions of the BVP for two-dimensional system by extracting linear parts and quasilinearization. Mathematical Modelling and Analysis, V. 13, N. 2,  2008, 303-312. Taylor & Francis
 
  • I. Yermachenko. On solvability of the BVPs for the fourth order Emden-Fowler equation. Mathematical Modelling and Analysis, V. 12, N. 2,  2007, 267-276. Taylor & Francis
  • I. Yermachenko. Multiple solutions of nonlinear boundary value problems by the quasilinearization process. 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. 577-587. Czech Digital Mathematics Library
 
  • I. Yermachenko and F. Sadyrbaev. Types of solutions and multiplicity results for two-point nonlinear boundary value problems. Proceedings of AIMS' Sixth International Conference on Dyn. Systems, Diff. Equations and Applications University of Poitiers, Poitiers, France, June 25 - 28, 2006, Discrete and Continuous Dynamical Systems -  Supplement 2007, American Institute of Mathematical Sciences, 1061-1069. American Institute of Mathematical Sciences
 
  • I. Yermachenko. Multiple solutions of the fourth order Emden-Fowler equation. Mathematical Modelling and Analysis, V. 11, N. 3,  2006, 347-356. Taylor & Francis
 
  • I. Yermachenko and FF. Sadyrbaev. Types of solutions and multiplicity results for two-point non­linear boundary value problems. Nonlinear Analysis: TMA, V. 63, N. 5-7, 2005, e1725 – e1735. Elsevier
 
  • I. Yermachenko and F. Sadyrbaev. Quasilinearization and multiple solutions of the Emden-Fowler type equation.  Mathematical Modelling Analysis, V. 10, N. 1, 2005, 41-50. Taylor & Francis
Activities  
 
  • Member of the Latvian Mathematical Society
  • Member of Organizing Committee to School of Young mathematicians, Daugavpils University
 
  • European Social Fund Project “Science and Mathematics” (2008/0002/1DP/1.2.1.2.1/08/IPIA/VIAA/001), implementer and expert