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On well-conditioned boundary value problems for systems of second order difference equations

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Approximation Theory and its Applications

Abstract

In this paper well-conditioning of boundary value problems for systems of second order difference equations is studied. First, a sufficient condition for the existence of a unique bounded solution (for large enough number of steps) of an associated homogeneous system is given. Finally, a sufficient condition for well-conditioning, intrinsically related to the problem data is proposed.

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Authors and Affiliations

  1. Department of Applied Mathenatics, Polytechnical University of Valencia, P. O. Box 22. 012, Valencia, Spain

    L. Jódar, E. Ponsoda & M. Legua Fernández

Authors
  1. L. Jódar
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  2. E. Ponsoda
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  3. M. Legua Fernández
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Additional information

This work has been partially supported by the “Generalitat Valenciana” grant GV1118/93 and the Spanish D.G.I.C.Y.T. grant PB93-0381.

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Jódar, L., Ponsoda, E. & Fernández, M.L. On well-conditioned boundary value problems for systems of second order difference equations. Approx. Theory & its Appl. 12, 81–95 (1996). https://doi.org/10.1007/BF02849319

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  • DOI: https://doi.org/10.1007/BF02849319

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