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Faculty of Applied Science --> Department of Mathematics
<<   o   >>

head of sub-department
   Doc. Ing. Gabriela Holubová, Ph.D.

  office:  UK-617a
  phone:  ++420 377 63 2632
  e-mail:  
gabriela@kma.zcu.cz
  www:  http:/www.KMA.zcu.cz/Gabriela.Holubova
 (orion: http://home.zcu.cz/~gabriela)

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Publications

Publications

Books:

  • Elements of Partial Differential Equations. Walter de Gruyter, Berlin - New York, (coauthor P. Drabek), 2007.

    Papers in journals:

  • The Fučík Spectra for Multi-Point Boundary Value Problems. Electronic Journal of Differential Equations, Conf. 18, 33-44, (coauthor P. Necesal), 2010.
  • Nonlinear four-point problem: non-resonance with respect to the Fučík spectrum. Nonlinear Analysis: Theory, Methods & Applications 71 (10), 4559-4567, (coauthor P. Necesal), 2009.
  • Nontrivial Fucik spectrum of one non-selfadjoint operator. Nonlinear Analysis 69, 2930-2941, (coauthor P. Necesal), 2008.
  • Initial-boundary value problem for the nonlinear string-beam system. J. Math. Analysis and Applications 288/2, 784-802, (coauthor A. Matas), 2003.
  • Nonlinear models of suspension bridges: discussion of the results. Applications of Mathematics 48, No. 6, 497-514, (coauthors P. Drabek, A. Matas, P. Necesal), 2003.
  • Fredholm alternative for the p-Laplacian in higherdimensions. J. Math. Analysis and Applications 263, 182-194 (coauthorP. Drabek), 2001.
  • Time-periodic oscillations in suspension bridges: existence of unique solutions. Nonlin. Analysis: Real Word Appl. 1, 345-362,(coauthors Drabek, Leinfelder, Mustonen, Berkovits), 2000.
  • Bifurcation of Periodic Solutions in Symmetric Models of SuspensionBridges. Topological Methods in Nonlin. Anal. 14, No. 1, 39-58, (coauthor P. Drabek), 1999.
  • Mathematical Modeling of Suspension Bridges. Mathematics andComputers in Simulation 50, 183-197, 1999.
  • Coupled string-beam equations as a model of suspensionbridges. Applications of Mathematics 44, No. 2, 97-142, (coauthors Drabek, Leinfelder), 1999.
  • Mathematical models of suspension bridges. Applications of Mathematics 42, No. 6, 451-480, 1997.

    Papers in proceedings:

  • Bifurcation Problems in Suspension Bridges.Proceeding of the conference Mathematical Analysis and Its Applications, Athens, 2002.
  • Suspension Bridges: Bifurcation of PeriodicSolutions. Proceeding of the conference FSDONA'99, Pudasjarvi, 1999.
  • Mathematical models of suspension bridges: existence of unique solutions. Proceeding of the conference Equadiff'97,Brno, 1997.
  • Matematicke modely visutych mostu. Proceeding of theconference MOSD'97, Pernink, 1997, (in Czech).
  • Time-periodic oscillations in suspension bridges: existence of unique solution. Proceeding of the 5th students conferenceVSTEZ, Bohdanec, 1997.
  • Matematicke modely visutych mostu, jejich klasifikace a odvozeni. Proceeding of the 4th students conferenceVSTEZ, Brno, 1996, (in Czech).

    Preprints:

  • Fredholm Alternative for the p-Laplacian in Higher Dimensions. Preprint of theUniversity of West Bohemia no. 139, 2001.
  • Mathematical models of suspension bridges. Preprint of theUniversity of West Bohemia no. 94, 1997.
  • Matematicke modely visutych mostu, jejich klasifikace a odvozeni. Preprint of the University of West Bohemia no. 88, 1996, (in Czech).

    Course books:

  • Partial Differential Equations: An Introduction to Classical Theory, University of West Bohemia, Pilsen 2001 (in Czech) (coauthor P. Drabek).

    Diploma thesis:

  • Mathematical models of suspension bridges, University of West Bohemia, Pilsen 1997.

    Doctoral thesis:

  • Systems of evolution partial differential equations: the existence and qualitativeproperties of solutions, University of West Bohemia, Pilsen 2000.

    Habilitation thesis:

  • Solvability of Problems with Jumping Nonlinearities: From Suspension Bridges to Multi-Point BVPs., University of West Bohemia, Pilsen 2009.
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