Personal Pages

Date of birth: September 22, 1979

Business address: Ukraine, Crimea, 95007, Simferopol, Vernadsky ave. 4, National Taurida V.Vernadsky University, Algebra and Functional Analysis Chair, Room: 413 C.

Е-mail: katboz@mail.ru

In 2001 graduated from National Taurida V.Vernadsky University (Simferopol) by speciality «Mathematics».

In 2009 defended PhD theses by speciality 01.01.02. «Differential equations» in the Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Donetsk, on theme «Compact extremum and compact analytical properties of basic variational functional in Sobolev space W(12)».

Measure and Integration theory, Linear Algebra,
Special course – “Sobolev spaces. Embedding theorems” .

Calculus of variations in Sobolev spaces.

1. Bozhonok E.V. The sufficient conditions of extremum of integral functionals in product of nuclear spaces // Dynamical System. — Simferopol: TNU, 2005. — no.19. — С.100–117. (Russian)
2. Bozhonok E.V. Sufficient and necessary functional extreme conditions in nuclear locally convex space (case of several variables) // Scientific Notes of Taurida National University. — 2005. — no. 1. — P. 3–26. (Russian)
3. Orlov I.V., Bozhonok E.V. Spaces of K- continuous linear operators and functionals // Dynamical System. — Simferopol: TNU, 2006. — no. 20. — P. 123–132. (Russian)
4. Orlov I.V., Bozhonok E.V. Well-definiteness, K-continuity and K-differentiability conditions for Euler--Lаgrange functional in Sobolev space W(12) // Scientific Notes of Taurida National University. — 2006. — no. 2. — P. 63–78. (Russian)
5. Bozhonok E.V., Orlov I.V. Legendre and Jacobi conditions for compact extrema of variational functionals in Sobolev spaces // Proceedings of Math. Institute NAS of Ukraine, 2006. —Vol. 3, no. 4. — С. 282–293. (Russian)
6. Bozhonok K.V., Orlov I.V. Legendre-Jacobi conditions for compact extrema of integral functionals  // Reports NAS of Ukraine. — 2006. — no. 11. — P. 11–15. (Ukrainian)
7. Bozhonok E.V. On solutions to "almost everywhere"– Euler-Lagrange equation in Sobolev space W(12) // Methods of Functional Analysis and Topology. — Kyiv: Institute of Mathematics, Ukrainian National Academy of Sciences, 2007. — Vol. 13, no 3. — P. 262–266.
8. Bozhonok E.V.  Example of K-continuous, discontinuous variation functional in Sobolev space // Dynamical System. — Simferopol: TNU, 2007. — no. 22. — P. 140–144.  (Russian)
9. Bozhonok E.V. Compact extremum and compact analytical properties of basic variational functional in Sobolev space W12: diss… candidate of ph.-math. sciences: 01.01.02 « Differential equations ». – Simferopol, 2009. – 161 p. (Russian)
10.  Bozhonok K.V. Compact extremum and compact analytical properties of basic variational functional in Sobolev space W12: abstract of diss… candidate of ph.-math. sciences: 01.01.02 "Differential equations". – Donetsk: Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, 2009. – 20 p. (Ukrainian)
11.  Bozhonok E.V. Some Existence Conditions for the Compact Extrema of Variational Functionals of Several Variables in Sobolev Space W21// Operator Theory: Advances and Applications. - Birkhauser Verlag Basel/Switzerland, 2009. - Vol. 190. – Р. 141-155.
12.  Bozhonok E.V. The simple sufficient conditions of K-smoothness of the basic variational functional in Sobolev space W21// Scientific Notes of Taurida National University. – 2009. - Vol. 22 (61), no. 1. — P. 1–10.  (Russian)

1. Bozhonok E.V., Orlov I.V. Silvester criteria for operator matrices and applications // International Conference "Functional spaces, approximation theory, nonlinear analysis", in honor of acad. S.М. Nikolskiy (Moscow, Russia, May 23–29, 2005): Book of abstracts. — Moscow:  Steklov Institute of Mathematics RАS, 2005. — P. 61. (Russian)
2.  Bozhonok E. Compact extrema of integral functionals: a case of several variables // Conference "Analysis and partial differential equations" in honor of Pr. Bogdan Bojarski (June 18–24, 2006 Mathematical Research and Conference Centre, Bedlewo, Poland): Book of abstracts. — 2006.  — P. 13.
3.  Bozhonok E.V. Compact extremum of variational functionals in Sobolev space // International Conference "Differential equations and related questions” in honor of I.G. Petrovskiy (1901–1973) (Moscow, Russia, May 21–26, 2007): Book of abstracts. — Moscow: Moscow State M.V. Lomonosov University, 2007. — P. 49. (Russian)
4.  Bozhonok E. Some existence conditions of compact extrema for variation functionals in Sobolev space // International Conference "Modern Analysis and Applications (MAA 2007)" dedicated to the centenary of Mark Krein (Odessa, Ukraine, April 9–14, 2007): Book of abstracts. —2007. — P. 27–28.
5. Bozhonok E.V. Compact extremum of variational functionals in Sobolev space W(12) // International Conference of young scientists "Differential equations and applications” in honor of Ya.B. Lopatinskiy (Ukraine, Donetsk, November 11–14, 2008): Book of abstracts. — 2008. — P. 43–44. (Russian)
6. Bozhonok E.V. Classes of Weierstrass pseudoquadratic mappings // Ukrainian mathematical congress: Book of abstracts. – VIII, 2009. –   http://www.imath.kiev.ua/~congress2009,(1-4). (Russian)

1. Оrlov I.V., Bozhonok E.V. Additional Chapters of Modern Natural Sciences. Calculus of variations in Sobolev space Н1. – Simferopol, 2010. – 156 p.  (Russian)