Academic DepartmentsDepartment of Applied MathematicsScientific activitySpecific research areas

SPECIFIC RESEARCH AREAS

 

Research interests:

Ordinary differential equations, Dynamical systems and ergodic theory, Mechanics of particles and systems

Specific areas:

Linear equations and systems, general, Stability theory, Stability problems, Dynamical systems in classical and celestial mechanics, Dynamical systems in solid mechanics, Dynamical systems in optimization and economics, Perturbation methods for rigid body dynamics, Stability problems, Dynamical systems methods, Hamiltonian and Lagrangian mechanics, Perturbation theories, Nonlinear dynamics

 

Research interests:

Partial Differential Equations, Functional Analysis

Specific areas:

Elliptic problems, Qualitative analysis of the weak solutions, Critical point theory, Leray-Lions type operators, Variable exponent spaces

 

Research interests:

Mathematical Analysis, Dynamic Systems

Specific areas:

Functional  calculus, Linear differential equations, Ergodic theory

 

 

Research interests:

Mathematical Analysis, Partial  Differential Equations

Specific areas:

Partial  Differential Equations of higher order arising in Plate Theory, Calculus of Variations

 

 

 

Research interests:

Mathematical analysis, Applied statistics in modeling the experimental processes, Software tools for decision management, Special mathematics for modeling the dynamics of biological and engineering processes

Specific areas:

Qualitative analysis and computational simulation of mathematical models associated to mixing flows, Linearizing and control methods for discrete and continuous dynamical systems, Stability and optimization for dynamic systems associated to far from equilibrium phenomena

 

 

Research interests:

Functional Analysis, Operator Theory, Operator Algebras, System Evolution, Orbit Control, Dynamic Informational Entropy, Chaos versus Order

Specific areas:

Information Systems, Artificial Intelligence, Vision, Pattern Recognition, How the Mind Works, Memory - Processing - Resonance, Information Transfer

 

Research interests:

Differential Geometry, Foliations, Algebraic Topology, Geometry of Dynamical Systems, Mathematical Physics, Theoretical Mechanics, Numerical Calculus

Specific areas:

Finsler, Lagrange and Hamilton Spaces, Higher Order Spaces, Geometric Theory of Foliations, Signal Analysis using Wavelet and Fourier decompositions,

Geometric Dynamic Systems, Nonholonomic Systems with Linear, Affine or Nonlinear Constraints, Geometric Discretization of Lagrangian and Hamiltonian Systems, Algebraic, Geometrical and Mechanical Invariants, Geometric Control and Optimization

 

Research interests:

Differential Geometry, Algebra, Foliations, Analysis on Manifolds, Algebraic Topology, Geometry of Dynamical Systems, Control and Optimization, Mathematical Physics, Theoretical Mechanics, Numerical Calculus

Specific areas:

Finsler, Lagrange and Hamilton Spaces, Higher Order Spaces, Geometric Theory of Foliations, Signal Analysis using Wavelet and Fourier decompositions,

Geometric Dynamic Systems, Nonholonomic Systems with Linear, Affine or Nonlinear Constraints, Geometric Discretization of Lagrangian and Hamiltonian Systems, Algebraic, Geometrical and Mechanical Invariants, Geometric Control and Optimization

 

Research interests:

Numerical Analysis, Partial Differential Equations, Computational Methods, Modelization, programming and numerical simulation

Specific areas:

Homogenization of strongly heterogeneous media: multiple scale method, Biomedical Applications: Modelling of human cortical bone; Mechanical properties of cortical at micro and macro level, bone remodelling (natural and pathological), proliferation of osteoblastic cells 

 

Research interests:

Spectral Theory, Convexity, Linear programming, Composite Materials

Specific areas:

Differential and integro-differential operators, Relatively bounded perturbations, Mechanical characteristics of composite materials

 

Research interests:

Differential Geometry

Specific areas:

Riemann, Finsler, Lagrange, Hamilton Differential Geometry. Applications to Classical Mechanics

 

 

Research interests:

Ordinary differential equations, Integral equations, Fixed point theory, Differential inequalities, Multivalued operators

Specific areas:

Linear or nonlinear ordinary differential equations, Existence and qualitative properties of the solutions of boundary value problems for ordinary differential equations on compact to noncompact intervals, Existence of homoclinic solutions, Stability problems of the solutions of some ordinary differential equations, Applications to the theory of linear or nonlinear damped oscillators, Asymptotic stability of the solutions of some nonlinear integral equations, Applications of the fixed point theorems, Asymptotic stability of the solutions of some nonlinear integral inclusions