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DIANA CAPONETTI

A note on boundary conditions for nonlinear operators

  • Authors: CAPONETTI D; TROMBETTA A; TROMBETTA G
  • Publication year: 2008
  • Type: Articolo in rivista (Articolo in rivista)
  • Key words: Measure of noncompactness, k-$\psi$-contraction, $\psi$-condensing operator, fixed point index.
  • OA Link: http://hdl.handle.net/10447/40013

Abstract

We investigate boundary conditions for strict-$\psi$-contractive and $\psi$-condensing operators. We derive results on the existence of eigenvectors with positive and negative eigenvalues and we obtain fixed point theorems for classes of noncompact opera\-tors.