Papadopoulos Perikles

Office: Α104, Building A, Αncient Οlive-grove Campus

Work phone: 210-5381243

Lab:

Lab phone:

Fax:

E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Webpage:

Discipline: Differential Equations and Approximation Methods

________________________________________________________________________________________________________________________________________

Studies

2007 - Post Doctoral Studies, School of Applied Mathematics and Physics, National Technical University of Athens (NTUA), Greece.

2003 - PhD in Applied Mathematics, School of Applied Mathematics and Physics, National Technical University of Athens (NTUA), Greece.

2002 - MSc, in Applied Mathematics, School of Applied Mathematics and Physics, National Technical University of Athens (NTUA), Greece.

1994 - Diploma in Mathematics, Department of Mathematics, University of Athens, Greece.

________________________________________________________________________________________________________________________________________

Research Interests

Differential Equations and Dynamical Systems.
Partial Differential Equations.

Elliptic, Parabolic and Hyperbolic Problems.

Non Linear Differential Equations and Quasilinear Differential Equations with Applications in Physics (for examble Kirchhoff’s Equations).

________________________________________________________________________________________________________________________________________

Representative Publications

Papadopoulos Perikles, Stavrakakis Nikos , <<Global Existence and Blow-Up Results for an Equation of Kirchhoff Type on R^N>>, Topological Methods in Nonlinear Analysis, 2001, Vol 17, pp 91-109.

Papadopoulos Perikles, Stavrakakis Nikos, <<Central Manifold Theory for the Generalized Equation of Kirchhoff Strings on R^N>>, Nonlinear Analysis TMA, 2005, Vol 61, pp 1343-1362.

Papadopoulos Perikles, Stavrakakis Nikos, <<Strong global attractor for a quasilinear nonlocal wave equation on R^N>>, Electronically Journal of Differential Equations (EJDE), 2006, Vol 77, pp 1-10.

Papadopoulos Perikles, Stavrakakis Nikos, <<Compact Invariant Sets for Some Quasilinear Nonlocal Kirchhoff Strings on R^N>>, Applicable Analysis, 2008, Vol 87, pp 133-148.

Papadopoulos Perikles, Stavrakakis Nikos, <<Global Existence for a Wave Equation on R^N>>, Discrete and Continuous Dynamical Systems, Series S, 2008, Vol 1, pp 139-149.

Papadopoulos Perikles , << Blow-up for a non-Degenerate non-Local Quasilinear Wave Equation on R^N >>, Applicable Analysis, 2012, Vol 91, pp 419-433.

Papadopoulos Perikles, Matiadou Niki-Lina, Fatouros Stavros, <<Existence and Uniqueness of Solutions for a Discrete Infinite ODE’s System>>, Advancements and Developments in Applied Mathematics, 2012, vol 3, pp 1-10.

Papadopoulos Perikles, Matiadou Niki-Lina, Fatouros Stavros, <<Global Existence and Blow-up Results for an Hyperbolic Problem on R^N >>, Applicable Analysis, 2014, Vol. 93, No. 3, pp 475-489.

Papadopoulos Perikles, Matiadou Niki Lina and Pappas Alexandros, <<Global Existence, Stability Results and Compact Invariant Sets for a Quasilinear Nonlocal Wave Equation on R^N >>, Int. J. Nonlinear Anal. Appl. 6, (2015) No 1, 85-95.

Papadopoulos Perikles, <<Local Existence and Stability Results for a Wave Equation with Damping on all R^N>>, Journal of Multidisciplinary Engineering Science and Technology, (2016), Vol 3, issue 2, pp 4008-4014.

Papadopoulos Perikles and Pappas Alexandros, << Energy Estimates and Local Existence Results for a Mildly Degenerate Wave Equation with Damping in Unbounded Domains>>, Nonlinear Functional Analysis and Applications, (2016), Vol 21, No 1, pp 171-182 .

S. Vassiliadis, P. Papadopoulos, M. Rangoussi, T. Konieczny and J. Gralewski, <<Bitcoin Value Analysis Based on Cross-Correlations>>, Journal of Internet Banking and Commerce, Jan 2017, vol 22, no s7, pp 1-12.

Papadopoulos Perikles and Matiadou Niki Lina, <<Estimates for a Hyperbolic Equation with no Dissipation on R^N>>, Journal of Multidisciplinary Engineering Science and Technology, (2017), Vol 4, issue 6, pp 7499-7504.

Perikles Papadopoulos and Niki Lina Matiadou, <<Global Attractor for A Nonlocal Hyperbolic Problem on R^N>>, International Journal of Nonlinear Analysis and Applications, 8, (2017), No 2, pp 150-168.

Perikles Papadopoulos, Niki Lina Matiadou and Stavros Fatouros, <<The Stability of the Solution For A Hyperbolic Ploblem on R^N >>, Nonlinear Functional Analysis and Applications, vol 23, no.1, (2018), pp.129-140.

________________________________________________________________________________________________________________________________________

Undergraduate Courses

Mathematical Analysis I
Mathematical Analysis II
Differential Equations-Transforms

________________________________________________________________________________________________________________________________________

Postgraduate Courses

Scientific Calculations and Mathematical Modeling

________________________________________________________________________________________________________________________________________