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3 results

  • EIGENVALUES OF POSITIVE INTEGRAL OPERATORS WITH LAPLACE TRANSFORM-TYPE KERNELS

  • YÜKSEL SOYKAN, GRAHAM LITTLE
  • Journal:
    Glasgow Mathematical Journal / Volume 52 / Issue 2 / May 2010
    Published online by Cambridge University Press:
    29 March 2010, pp. 333-348
    Print publication:
    May 2010
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  • The aim of this paper is to prove a theorem concerning asymptotic estimates of eigenvalues of certain positive integral operators with Laplace transform-type kernels.

  • ASYMPTOTIC BEHAVIOUR OF EIGENVALUES OF CERTAIN POSITIVE INTEGRAL OPERATORS

  • YÜKSEL SOYKAN
  • Journal:
    Glasgow Mathematical Journal / Volume 51 / Issue 1 / January 2009
    Published online by Cambridge University Press:
    01 January 2009, pp. 149-159
    Print publication:
    January 2009
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  • In this paper, we prove a theorem concerning asymptotic estimates of the eigenvalues of certain positive integral operators with Laplace transform type kernels.

  • ANALYSIS OF AN EIGENVALUE PROBLEM ARISING IN A THERMAL WAVE PROPAGATION PROBLEM

  • D. J. Needham, A. C. King
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 48 / Issue 3 / October 2005
    Published online by Cambridge University Press:
    15 September 2005, pp. 691-704
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  • In this paper we study a non-standard eigenvalue problem which arises in the context of a thermal wave propagation problem, and some generalizations thereof. The eigenvalue distribution is fully explored and useful bounds on the location of the eigenvalues are obtained.