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Pavlo Kasyanov

KasyanovDate of Birth 21.08.1982

Doctor of Sciences in Physics and Mathematics (Dr. Hab.)

Research Laboratory for Nonlinear Analysis of Differential-Operator Systems (NADOS Lab), Chair of Laboratory

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Education

1999-2005 – student of the Department of Mechanics and Mathematics, National Taras Shevchenko University of Kyiv, Ukraine (Master's degree in Statistics with honors, Chair of Integral and Differential Equations);

2005-2006 – PhD student of the Chair of Integral and Differential Equations Department, Department of Mechanics and Mathematics, National Taras Shevchenko University of Kyiv;

22.01.2007 – defended PhD thesis "Differential-operator inclusions in Banach spaces with -pseudomonotone maps" on the degree of Candidate of Sciences in Physics and Mathematics (supervisor – correspondent member of the National Academy of Sciences of Ukraine, Dr. Hab., Prof. V.S. Mel'nik);

2008-2010 - habilitation stipendium in the ESC "Institute for Applied System Analysis" at National Technical University of Ukraine "KPI" of National Academy of Sciences of Ukraine and MES of Ukraine;

08.10.2010 – habilitation in Physics and Mathematics ("Differential-operator inclusions and multivariation inequalities in infinite-dimensional spaces with pseudomonotone type maps" on the degree of Doctor of Science in Physics and Mathematics, scientific advisor - Academician of NAS of Ukraine, Dr. Hab., Prof. M.Z.Zgurovsky).

Scientific activity

Research interests

Nonlinear analysis of geophysical processes and fields, infinitedimensional and multivalued analysis, nonlinear boundary value problems, qualitative theory of differential equations and inclusions. Published 4 books and co-authored over 60 scientific articles in leading national and international professional journals.

Publications

Monographs

  • P.O. Kasyanov, V.S. Mel'nik, V.V. Yasinskiy Evolution inclusions and inequalities in Banach spaces with -pseudomonotone maps- Kyiv:Naukova dumka, 2007. - 308p.
  • M.Z. Zgurovsky, P.O. Kasyanov, V.S. Mel'nik Differential-operator inclusions and variation inequalities in infinitedimensional spaces. Kyiv: Naukova Dumka, project «Naukova kniga», 2008. – 464 p.
  • M.Z. Zgurovsky, V.S. Mel'nik, P.O. Kasyanov Evolution Inclusions and Variation Inequalities for Earth Data Processing I. Heidelberg, Springer, 2011. – 247p.
  • M.Z. Zgurovsky, V.S. Mel'nik, P.O. Kasyanov Evolution Inclusions and Variation Inequalities for Earth Data Processing II. Heidelberg, Springer, 2011. – 274p.

Research articles

  • M.Z. Zgurovsky, P.O. Kasyanov, J. Valero Noncoercive evolution inclusions for Sk type operators // International Journal of Bifurcation and Chaos. – Vol. 20, No. 9 (2010) P. 2823–2834
  • P.O. Kasyanov, V.S. Mel'nik, S. Toscano Solutions of Cauchy and periodic problems for evolution inclusions with multi-valued -pseudomonotone maps// Journal of Differential Equations. - Volume 249, Issue 6, 15 September 2010, Pages 1258-1287.
  • O.V. Kapustyan, P.O. Kasyanov, J. Valero Pullback attractors for a class of extremal solutions of the 3D Navier-Stokes equations // Journal of Mathematical Analysis and Applications. – Volume 373, Issue 2, 15 January 2011, Pages 535 – 547.
  • Pavlo Kasyanov, Valeriy Mel'nik, Anna Maria Piccirillo On some approximations and main topological descriptions for special classes of Banach spaces with integrable derivatives// Methods of Functional Analysis and Topology – 2008. – Vol. 14, № 3. – P. 255-270.
  • Zadoyanchuk N.V., Kasyanov P.O. Faedo–galerkin method for second-order evolution inclusions with Wλ-pseudomonotone mappings // Ukrainian mathematical journal. – 2009. – v. 61, №2. – P. 236-258.

Hobby

Sport, literature.

Partner Institutions

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National Technical
University of Ukraine 
"Kyiv Polytechnic Institute"
http://kpi.ua

wdc-logo World Data Center
for Geoinformatics
and Sustainable Development
http://wdc.org.ua

Contact us

Michael Zgurovsky
37 Peremohy ave.
03056 Kyiv, Ukraine

Telephone: 38 044 4068014
Fax: 38 044 4068153

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