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Projekt

Analysis of quantum systems described by low-dimensional Dirac equation (GJ15-07674Y)

described by low-dimensional Dirac equation. In particular, we will focus exactly solvable models. Their hidden symmetries and (nonlinear) supersymmetry will play decisive role in solution of dynamical equation and in comp...

BE - Teoretická fyzika

  • 2015 - 2017
  • 1 716 tis. Kč
  • 945 tis. Kč
  • GA ČR
Projekt

Optimality conditions on time scales (1K04001)

in terms of conjugate and coupled points, and the solvability of the associated Jacobi and Riccati dynamic equations....

BA - Obecná matematika

  • 2004 - 2006
  • 1 508 tis. Kč
  • 1 023 tis. Kč
  • MŠMT
Projekt

Numerical methods for the problems of control of complex systems (GP102/07/P413)

equations that arise from the nonlinear control theory. The regulator equation which. This is a nonlinear partial algebro-differential equation. Methods for solution of such equations are not yet sufficiently inve...

BC - Teorie a systémy řízení

  • 2007 - 2009
  • 489 tis. Kč
  • 489 tis. Kč
  • GA ČR
Projekt

Commutators, quasigroups and Yang Baxter equation (LTAUSA19070)

and Maltsev hierarchy of universal algebra, solutions of quantum Yang-Baxter equation algebra. Concrete problems to be investigated within the project include solvability of Moufang loops, supernilpotence for loops, latin solution...

Pure mathematics

  • 2020 - 2022
  • 4 777 tis. Kč
  • 4 777 tis. Kč
  • MŠMT
Projekt

Qualitative analysis of solutions for ordinary and functional differential equations (GA201/04/1077)

. Solvability of nonlinear boundary value problems for ordinary and functional differential equations with singularities. We will provide new existence principles and criteria for n-th order differential equations with sing...

BA - Obecná matematika

  • 2004 - 2006
  • 960 tis. Kč
  • 960 tis. Kč
  • GA ČR
Projekt

Partial differential equations in mechanics and thermodynamics of fluids (GA19-04243S)

Partial differential equations in mechanics and thermodynamics of fluids are a mathematical tool which models the time evolution of basic physical quantities. The goal of this project is to study these systems of partial differential e...

Pure mathematics

  • 2019 - 2022
  • 11 275 tis. Kč
  • 10 357 tis. Kč
  • GA ČR
Projekt

Analysis of Dirac materials with the methods of mathematical physics (GA19-07117S)

solvable models and qualitative spectral analysis, applicable even in cases where solutions of dynamical equation are unknown. The new methods will be used......

Condensed matter physics (including formerly solid state physics, supercond.)

  • 2019 - 2021
  • 1 705 tis. Kč
  • 1 369 tis. Kč
  • GA ČR
Projekt

Boundary value problems with jumping nonlinearities Fučík spectrum of continuous and discrete operators (ME09109)

The primary aim is to obtain new results for nonlinear operator equations which correspond to boundary value problems for differential and difference operators. The secondary aim is development of international cooperation and qualitative in...

BA - Obecná matematika

  • 2009 - 2012
  • 2 292 tis. Kč
  • 2 292 tis. Kč
  • MŠMT
Projekt

Applications of Algebra and Combinatorics in Formal Language Theory (GA15-02862S)

and solvability of language equations. We plan to reach this goal using various algebraic and combinatorial techniques, in particular, finite universal algebra, equational theories......

BA - Obecná matematika

  • 2015 - 2017
  • 3 203 tis. Kč
  • 3 203 tis. Kč
  • GA ČR
Projekt

Quantum Wheeler-DeWitt equation and its unitary evolution interpretation (GA16-22945S)

The project offers an innovative application of the three-Hilbert-space technique of representation of quantum systems in the quantum-gravity context of Wheeler-DeWitt (WDW) equation. The theoretical input lies in the removal of some redunda...

BE - Teoretická fyzika

  • 2016 - 2018
  • 2 015 tis. Kč
  • 869 tis. Kč
  • GA ČR
  • 1 - 10 z 688