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A transformation for symplectic systems and the definition of a focal point

Authors
Journal
Computers & Mathematics with Applications
0898-1221
Publisher
Elsevier
Publication Date
Volume
47
Issue
1
Identifiers
DOI: 10.1016/s0898-1221(04)90011-9
Keywords
  • Symplectic Systems
  • Focal Point
  • Riccati Difference Operator
  • Conjoined Basis
Disciplines
  • Mathematics

Abstract

Abstract We examine transformations for symplectic difference systems and Riccati difference operators connected with permutations of rows of a conjoined basis. The concept of an integration path for a conjoined basis is introduced to formulate the definition of a focal point and the disconjugacy criteria and state Sturm's separation theorems in terms of solutions of the transformed Riccati equation.

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