Description

• Title:
  Generalized Sturm-Liouville boundary conditions for first order differential systems in the plane
• Creator:
  Fonda, Alessandro;
  Garrione, Maurizio
• Opis:
  We study asymptotically positively homogeneous first order systems in the plane, with boundary conditions which are positively homogeneous, as well. Defining a generalized concept of Fučík spectrum which extends the usual one for the scalar second order equation, we prove existence and multiplicity of solutions. In this way, on one hand we extend to the plane some known results for scalar second order equations (with Dirichlet, Neumann or Sturm-Liouville boundary conditions), while, on the other hand, we investigate some other kinds of boundary value problems, where the boundary points are chosen on a polygonal line, or in a cone. Our proofs rely on the shooting method.
• Dostępność obiektu:
  free access
• Prawa:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Data:
  2013.04.22
• Typ:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Język:
  English
• Źródło:
  Topological Methods in Nonlinear Analysis; Vol 42, No 2 (December 2013); 293 - 325;
  1230-3429
• Wydawca:
  Nicolaus Copernicus University in Toruń
• Relacja: https://apcz.umk.pl/TMNA/article/view/TMNA.2013.038/8340
• Temat i słowa kluczowe:
  Positively homogeneous planar systems;
  Sturm-Liouville boundary conditions;
  shooting method;
  cone;
  34B15;
  34A34;
  37J05
• Identyfikator: https://apcz.umk.pl/TMNA/article/view/TMNA.2013.038
• Dostawca danych:
  Akademicka Platforma Czasopism
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