On positive solutions for fourth-order boundary value problem with impulse

  • Authors:
  • Ilkay Yaslan Karaca

  • Affiliations:
  • Department of Mathematics, Ege University, 35100 Bornova, Izmir, Turkey

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2009

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Abstract

In this paper, we consider a fourth-order boundary value problem with impulse. First, we establish criteria for the existence of one or more than one positive solution of a non-eigenvalue problem. Second, we are concerned with determining values of @l, for which there exist positive solutions for an eigenvalue problem. In both problems, we shall use the Krasnoselskii fixed point theorem.