Faculty of Applied Science --> Department of Mathematics <<   o   >>
employee	Doc. Ing. Petr Girg, Ph.D.   office:   UK-625   phone:   ++420 377 63 2644   e-mail:   pgirg @ kma.zcu.cz   www:   http:/www.KMA.zcu.cz/Petr.Girg   (orion: http://home.zcu.cz/~pgirg)	HOME publications grants conferences teaching supervisor activities

Publications

Papers in Journals:

• Čepička, J., Drábek, P., Girg, P., Open Problems related to the p-Laplacian, Bol. Soc. Esp. Mat. Apl. 29 (2004), pp. 13-34.

• Drabek, P., Girg, P. & Takac, P.,     Bounded Perturbation of Homogeneous Quasilinear Operators Using Bifurcationfrom Infinity, J. Differential Equations, 204, (2004), pp. 265--291

• Drabek, P., Girg, P.,Takac, P. & Ulm, M.,     The Fredholm alternative for the p-Laplacian: bifurcation from infinity, existence and multiplicity, Indiana Univ. Mathematical Journal 53, (2004), pp 433--482.

• Del Toro, N., Girg, P., Roca, F.,    On Dirichlet Problem with Nonlinearity Depending only on the Derivative, Appl. Math. Lett. 16, (2003), pp. 7-12.

• Drabek, P., Girg, P., & Roca, F.,    On theRange Properties of Certain Landesman-Lazer-type Problem, J. Math. Anal. and Appl. 257, (2001), pp. 131-140.

• Drabek, P., Girg, P., & Manasevich, R.,     Generic Fredholm alternative-type results for the one dimensional p-Laplacian, Nonlinear Differ. Equ. Appl. 8 (2001), pp. 285-298.

• Girg, P. & Roca, F.,    On the Range of CertainPendulum-Type Equations, J. Math. Anal. Appl. 249(2000), pp. 445-462.

• Girg, P.,     Neumann and periodic boundary-valueproblems for quasilinear ordinary differential equations with a nonlinearity in the derivative, Electronic Journal of Differential Equations 2000(2000), pp. 1-28.

• Girg, P.,    Existence of periodic solutions for asemilinear ordinary differential equation, ElectronicJournal of Differential Equations 1998 (1998), pp. 1-10.

Accepted Papers in Journals (to appear):

• Girg, P., Roca, F. & Villegas, S.,    SemilinearSturm Liouville Problem with Periodic Nonlinearity, to appear in Nonlinear Analysis, T.M.A.

Papers in Proceedings:

• P. Girg, Mathematical Model of Heat-Exchanger Tube and Parameter Indentification in Proceedings Interaction and Feedbacks '2004 (I. Zolotarev ed.), Institute of Thermomechanics AS CR, Prague, 2004

• Čepička, J., Drábek, P., Girg, P., Quasilinear Boundary Value Problems: Existence and Multiplicity Results in Variational Methods: Open Problems, Recent Progress, and Numerical Algorithms (J. Neuberger ed.)published by the American Mathematical Society: Contemporary Mathematics, 357, 2004, pp. 111-139;

• Gamez, J.L., Girg, P., Roca, F.,     On the range of certain nonlinear boundary value problem in Proceedings of `VI-emes Journees Zaragoza-Pau de Mathematiques Appliquees et deStatistiques 1999', Jaca, 2001;

• Girg, J., Girg, P.,     Errors in evaluation of mean value of the signalwith very low frequency in Applied Electronics 2000 (JiriPinker ed.), ZCU, Plzen, 2000.

• Girg, P.,     Some remarks on the solvability of the Neumann andperiodic BVP's for certain quasilinear ODE, in FunctionSpaces, Differential Operators and Nonlinear Analysis (Mustonen, V. & Rakosnik, J. eds.), Academy ofSciences of the Czech Republic, Prague 2000.

• Girg, P. & Roca, F.,     E.D. tipo pendulo frente a E.D.tipo Landesman-Lazer: Comparacion de los rangos, inActas XVI CEDYA/VI CMA (Montenegro, R., Montero, G. & Winter, G.eds.), Universidad Las Palmas de Gran Canaria, 1999.

• Girg, P.,     Nelinearni diferencialni rovnice s nelinearitou v derivaci in MOSD '97 (Girg, P. ed.), ZCU, Plzen, 1998.

Preprints/Submitted Manuscripts:

• Girg, P., Parallel Computing Toolkit and Numerical Experiments, Preprint, ZCU Plzen, 2004

• Drabek, P., Girg, P. & Takac, P.,     Bounded Perturbation of Homogeneous Quasilinear Operators Using Bifurcationfrom Infinity, Preprint, ZCU Plzen, 2003.

• Drabek, P., Girg, P.,Takac, P. & Ulm, M.,     The Fredholm alternative for the p-Laplacian: bifurcation from infinity, existence and multiplicity, Preprint, ZCUPlzen, 2002.

• Gamez, J.L. & Girg, P.,     Fredholm Alternative for the p-Laplacian at the first eigenvalue and bifurcations from the infinity, Preprint, ZCU Plzen, 2001.

• Girg, P., Roca, F. & Villegas, S.,    SemilinearSturm Liouville Problem with Periodic Nonlinearity, Preprint,ZCU Plzen, 2001.

PhD. Thesis:

• Analysis of the Ranges of Perturbed Noninvertible Operators, University of West Bohemia, Plzen, 2001.

Diploma Thesis:

• Nonlinear dynamical systems - Existence of periodic solution, University of West Bohemia, Plzen, 1997.