Search results for: heteroclinic solutions

• Heteroclinic solutions for a class of the second order Hamiltonian systems

  Publication

  • M. Izydorek
  • J. Janczewska

  - JOURNAL OF DIFFERENTIAL EQUATIONS - Year 2007

  W pracy dowodzi się istnienia rozwiązań heteroklicznicznych dla pewnej klasy równań różniczkowych zwyczajnych drugiego rzędu typu hamiltonowskiego.

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• Heteroclinic solutions of Allen-Cahn type equations with a general elliptic operator

  Publication

  • K. Wroński

  - Topological Methods in Nonlinear Analysis - Year 2018

  We consider a generalization of the Allen-Cahn type equation in divergence form $-\rm{div}(\nabla G(\nabla u(x,y)))+F_u(x,y,u(x,y))=0$. This is more general than the usual Laplace operator. We prove the existence and regularity of heteroclinic solutions under standard ellipticity and $m$-growth conditions.

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• Database of the convergence analysis results of the nonstandard approximation of the generalized Burgers–Huxley equation for the solution bounded within [0, γ^(1/p)].

  Open Research Data

  open access

  • A. Szafrańska
  • J. Macias-Diaz
  • G. Graff

  Presented dataset is a result of the convergence analysis of the Mickens-type, nonlinear, finite-difference discretization of a generalized Burgers–Huxley partial differential equation. The generalized Burgers–Huxley equation is a diffusive partial differential equation with nonlinear advection and diffusion. The boundary problem for this equation possesses...

• Database of the convergence analysis results of the nonstandard approximation of the generalized Burgers–Huxley equation for the solution bounded within [0,1].

  Open Research Data

  open access

  • A. Szafrańska
  • J. Macias-Diaz
  • G. Graff

  The presented dataset is a result of the convergence analysis of the Mickens-type, nonlinear, finite-difference discretization of a generalized Burgers–Huxley partial differential equation.

• Radwaste Solutions

  Journals

  ISSN: 1529-4900

• Homoclinic and Heteroclinic Orbits for a Class of Singular Planar Newtonian Systems

  Publication

  • J. Janczewska

  - Year 2015

  The study of existence and multiplicity of solutions of differential equations possessing a variational nature is a problem of great meaning since most of them derives from mechanics and physics. In particular, this relates to Hamiltonian systems including Newtonian ones. During the past thirty years there has been a great deal of progress in the use of variational methods to find periodic, homoclinic and heteroclinic solutions...

• GPS SOLUTIONS

  Journals

  ISSN: 1080-5370 , eISSN: 1521-1886

• Innovative Infrastructure Solutions

  Journals

  ISSN: 2364-4176 , eISSN: 2364-4184

• Ecological Solutions and Evidence

  Journals

  eISSN: 2688-8319

• The existence and multiplicity of heteroclinic and homoclinic orbits for a class of singular Hamiltonian systems in R^2

  Publication

  • J. Janczewska

  - BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA - Year 2010

  W niniejszej pracy badamy autonomiczne układy Hamiltona na płaszczyźnie z potencjałem, który ma punkt osobliwy x, globalne minimum równe zero osiągane w punktach a i b różnych od x oraz spełnia warunek typu Gordona w otoczeniu punktu osobliwego. Wykorzystując metody wariacyjne i pojęcie rotacji krzywej wykazaliśmy, że istnieją co najmniej dwa rozwiązania, które omijają punkt osobliwy i łączą {a,b} z {a,b}.

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