A topological approach to superlinear indefinite boundary value problems

Duccio Papini, Fabio Zanolin

DOI: http://dx.doi.org/10.12775/TMNA.2000.017

Abstract


We obtain the existence of infinitely many solutions with
prescribed
nodal properties for some boundary value problems associated to the
second order scalar equation $\ddot{x} + q(t) g(x) = 0$, where $g(x)$
has superlinear growth at infinity and $q(t)$ changes sign.

Keywords


Superlinear problems; indefinite weight; oscillatory solutions; Sturm-Liouville boundary value problems

Full Text:

FULL TEXT

Refbacks

  • There are currently no refbacks.

Partnerzy platformy czasopism