A discrete interpretation of Reid's roundabout theorem for generalized differential systems

Author:

Ahlbrandt C.D.,Clark S.L.,Hooker J.W.,Patula W.T.

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modelling and Simulation

Reference25 articles.

1. Generalized linear differential systems;Reid;J. Math. and Mechanics,1959

2. Riccati matrix difference equations and disconjugacy of discrete linear systems;Ahlbrandt;SIAM J. Math. Anal.,1988

3. A nonrecursive algebraic solution for the discrete Riccati equation;Vaughan;IEEE Trans. Automatic Control,1970

4. Generalized linear differential systems and associated boundary problems;Reid,1976

5. A criterion of oscillation for generalized differential equations;Reid;Rocky Mountain J. Math.,1977

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2. Disconjugacy criteria for matrix difference equations;Computers & Mathematics with Applications;2003-03

3. A necessary and sufficient condition for oscillation of the Sturm–Liouville dynamic equation on time scales;Journal of Computational and Applied Mathematics;2002-04

4. Reid Roundabout Theorem for Symplectic Dynamic Systems on Time Scales;Applied Mathematics and Optimization;2001-01-01

5. Linear Hamiltonian systems on time scales: Positivity of quadratic functionals;Mathematical and Computer Modelling;2000-09

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