

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,
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


 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,
175189.
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, 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


 I. Yermachenko.
Maximum principle and the fourth
order boundary value problem. Mathematical
Modelling and Analysis, V. 16, N. 1, 2011, 143152.
Taylor & Francis


 I. Yermachenko.
Twopoint boundary value problems at resonance. Mathematical
Modelling and Analysis, V. 14, N. 2, 2009, 247257.
Taylor & Francis



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.
Taylor & Francis


 I. Yermachenko.
On solvability
of the BVPs for the fourth order EmdenFowler
equation.
Mathematical Modelling and Analysis, V. 12, N. 2, 2007, 267276.
Taylor & Francis


 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.
Multiple solutions of the
fourth order
EmdenFowler
equation.
Mathematical
Modelling and Analysis, V. 11, N. 3, 2006, 347356.
Taylor & Francis


 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


 I. Yermachenko
and
F. Sadyrbaev. Quasilinearization and multiple solutions of the EmdenFowler
type equation. Mathematical Modelling Analysis, V. 10, N. 1,
2005, 4150.
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


