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Asymptotic Behavior of Eigenvalues and Fundamental Solutions of One Discontinuous Fourth-Order Boundary Value Problem

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Author Affiliations

  • 1Department of Mathematics, Faculty of Science and Letters, Namik Kemal University, 59030 Tekirdağ, TURKEY
  • 2University of Gaziantep, Faculty of Science and Arts, Department of Mathematics, 27310 Gaziantep, TURKEY
  • 3University of Gaziantep, Faculty of Science and Arts, Department of Mathematics, 27310 Gaziantep, TURKEY

Res. J. Mathematical & Statistical Sci., Volume 1, Issue (1), Pages 23-32, February,12 (2013)

Abstract

In this work, we study a fourth-order boundary value problem problem with eigenparameter dependent boundary conditions and transmission conditions at a interior point. A self-adjoint linear operator A is defined in a suitable Hilbert space H such that the eigenvalues of such a problem coincide with those of A. We obtain asymptotic formulae for its eigenvalues and fundamental solutions. 2010 Mathematics Subject Classification. 34L20, 35R10.

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