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Eigenvalue Problems of Ordinary Differential Equation Systems

  • György SzeidlEmail author
  • László Péter Kiss
Chapter
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Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

Abstract

Eigenvalue problems of ordinary differential equation systems are discussed. The concept of the Green function matrix is introduced. By utilizing the Green function matrices the eigenvalue problems described by ordinary differential equation systems can be reduced to eigenvalue problems governed by homogeneous Fredholm integral equation systems. The solution algorithm presented in Chapter 8 is generalized for such eigenvalue problems. The applications are related to the vibration problems of Timoshenko beams.

References

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Institute of Applied MechanicsUniversity of MiskolcMiskolc-EgyetemvárosHungary

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