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Annali di Matematica Pura ed Applicata

, Volume 105, Issue 1, pp 241–256 | Cite as

Linear integro-differential-boundary-parameter problems

  • Hyman J. Zimmerberg
Article

Summary

Necessary and sufficient conditions for a linear vector differential system, involving integral, boundary, and vector parameter terms, to be symmetric (self-adjoint) are developed and applied to obtain canonical forms for symmetric problems. In addition, the concept of the equivalence of two such linear problems under nonsingular transformations is examined, and a relationship between equivalence of a problem with its adjoint and symmetry is obtained.

Keywords

Vector Parameter Canonical Form Linear Problem Differential System Linear Vector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1975

Authors and Affiliations

  • Hyman J. Zimmerberg
    • 1
  1. 1.Department of MathematicsRutgers, The State UniversityNew BrunswickUSA

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