


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 

LV5400,
Daugavpils, Latvia 

inara.jermacenko@du.lv 



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, A. Kolyshkin, F. Sadyrbaev, and
I. Yermachenko, On the stability of a convective flow with nonlinear heat
sources,
Mathematics, 11(18): 3895, 2023.



A. Gritsans,
A. Kolyshkin, D. Ogorelova,
F. Sadyrbaev,
I. Samuilik, and
I. Yermachenko, Solutions of nonlinear boundary value problem
with applications to biomass thermal conversion,
Proceedings of 20th International Scientific Conference "Engineering for
rural development" (May 2628, Jelgava, Latvia), 2021, pp.
837842.



A. Gritsans,
F. Sadyrbaev
and I. Yermachenko.
Dirichlet
boundary value problem for the second order asymptotically linear system. International
Journal of Differential Equations, V. 2016
(2016), Article ID 5676217, 12
pages http://dx.doi.org/10.1155/2016/5676217.
Hindawi


 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, 18.
EBSCO pdf

 I. Yermachenko
and
F. Sadyrbaev.
Quasilinearization technique for ΦLaplacian type equations. International
Journal of Mathematics and Mathematical Sciences,
V. 2012 (2012), Article ID 975760, 11 pages
doi:10.1155/2012/975760.
Hindawi




F. Sadyrbaev and I. Yermachenko. Multiple
solutions of nonlinear boundary value problems for twodimensional
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 twopoint 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 twodimensional system by extracting
linear parts and quasilinearization.
Mathematical Modelling and Analysis, V. 13, N. 2, 2008, 303312.


 I. Yermachenko.
Multiple solutions of
nonlinear boundary value problems by the quasilinearization process. Proceedings of Equadiff 11, International Conference on Differential Equations. CzechoSlovak
series, Bratislava, July 2529, 2005. [Part 2] Minisymposia and
contributed talks. Comenius University Press, Bratislava, 2007, pp.
577587.
Czech
Digital Mathematics Library

 I. Yermachenko and
F. Sadyrbaev. Types of
solutions and multiplicity results for twopoint 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, 10611069.
American Institute of Mathematical Sciences


 I. Yermachenko
and FF. Sadyrbaev. Types of solutions and multiplicity results for
twopoint nonlinear boundary value problems. Nonlinear Analysis: TMA,
V. 63, N. 57, 2005, e1725 – e1735.
Elsevier


Activities 


Fundamental and applied research
project of the Latvian Council of Science
"Analysis of complex dynamical
systems in fluid mechanics and heat transfer", Researcher,
lzp2021/10076.

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


