Wyniki wyszukiwania dla: ITERATED FUNCTION SYSTEMS · INVARIANT MEASURES · STABILITY · STRONG LAW OF LARGE NUMBERS · FUNCTIONAL EQUATIONS

• Invariant Measures for Uncountable Random Interval Homeomorphisms

  Publikacja

  • T. Szarek
  • J. Morawiec

  - Qualitative Theory of Dynamical Systems - Rok 2023

  A necessary and sufficient condition for the iterated function system { f (·, ω) | ω ∈ } with probability P to have exactly one invariant measure μ∗ with μ∗((0, 1)) = 1 is given. The main novelty lies in the fact that we only require the transformations f (·, ω) to be increasing homeomorphims, without any smoothness condition, nei- ther we impose conditions on the cardinality of . In particular, positive Lyapunov exponents conditions...

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• Generic invariant measures for iterated systems of interval homeomorphisms

  Publikacja

  • W. Czernous
  • T. Szarek

  - ARCHIV DER MATHEMATIK - Rok 2020

  It is well known that iterated function systems generated by orientation preserving homeomorphisms of the unit interval with positive Lyapunov exponents at its ends admit a unique invariant measure on (0, 1) provided their action is minimal. With the additional requirement of continuous differentiability of maps on a fixed neighbourhood of {0,1} { 0 , 1 } , we present a metric in the space of such systems which renders it complete....

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• The law of the Iterated Logarithm for random interval homeomorphisms

  Publikacja

  • K. Czudek
  • T. Szarek
  • H. Wojewódka-Ściążko

  - ISRAEL JOURNAL OF MATHEMATICS - Rok 2021

  A proof of the law of the iterated logarithm for random homeomorphisms of the interval is given.

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• Method of lines for Hamilton-Jacobi functional differential equations.

  Publikacja

  • Z. Kamont
  • A. Szafrańska

  - DYNAMIC SYSTEMS AND APPLICATIONS - Rok 2013

  Initial boundary value problems for nonlinear first order partial functional differential equations are transformed by discretization in space variables into systems of ordinary functional differential equations. A method of quasi linearization is adopted. Suffcient conditions for the convergence of the method of lines and error estimates for approximate solutions are presented. The proof of the stability of the diffrential difference...

• On the Peano Theorem for Some Functional Differential Equations on Time Scale

  Publikacja

  • A. Augustynowicz
  • A. Gołaszewska

  - Functional Differential Equations - Rok 2014

  The Peano Theorem for some functional differential equations on time scale is proved. Assumptions are of Caratheodory type. Two counter examples for false Peano theorems in the literature are presented.

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• Tomasz Zubowicz dr inż.

  Osoby

  Katedra Inteligentnych Systemów Sterowania i Wspomagania Decyzji

  Tomasz Zubowicz has received his M.Sc. Eng. degree in Control Engineering from the Faculty of Electrical and Control Engineering at the Gda{\'n}sk University of Technology (GUT) in $2008$. He received his Ph.D. Eng. (Hons.) in the field of Control Engineering from the same faculty in $2019$. In $2012$ he became a permanent staff member at the Department of Intelligent Control and Decision Support Systems at GUT and a member of...

• Weighted difference schemes for systems of quasilinear first order partial functional differential equations

  Publikacja

  • A. Szafrańska

  - Mathematica Applicanda (Matematyka Stosowana) - Rok 2015

  The paper deals with initial boundary value problems of the Dirichlet type for system of quasilinear functional differential equations. We investigate weighted difference methods for these problems. A complete convergence analysis of the considered difference methods is given. Nonlinear estimates of the Perron type with respect to functional variables for given functions are assumed. The proof of the stability of difference problems...

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• Strong ellipticity conditions and infinitesimal stability within nonlinear strain gradient elasticity

  Publikacja

  • V. Eremeev

  - MECHANICS RESEARCH COMMUNICATIONS - Rok 2021

  We discuss connections between the strong ellipticity condition and the infinitesimal instability within the nonlinear strain gradient elasticity. The strong ellipticity (SE) condition describes the property of equations of statics whereas the infinitesimal stability is introduced as the positive definiteness of the second variation of an energy functional. Here we establish few implications which simplify the further analysis...

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• Structural stability of invariant sets of vibro-impact systems

  Publikacja

  • S. Kryzhevich

  - Vestnik St Petersburg University-Mathematics - Rok 2007

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• Parabolic Equations with Functional Dependence

  Publikacja

  • A. Bartłomiejczyk
  • H. Leszczyński

  - ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN - Rok 2001

  We consider the Cauchy problem for nonlinear parabolic equations with functional dependence and prove theorems on the existence of solutions to parabolic differential-functional equations.