Disconjugacy Criteria

  • Calvin D. Ahlbrandt
  • Allan C. Peterson
Part of the Kluwer Texts in the Mathematical Sciences book series (TMS, volume 16)


In this chapter we will study second order difference equations of the form
$$Ly\left( t \right) = \Delta \left[ {P\left( t \right)\Delta y\left( {t - 1} \right)} \right] + Q\left( t \right)y\left( t \right) = 0$$
where P(t) and Q(t) are given n × n Hermitian matrix functions on the discrete intervals [a + 1, b + 2] and [a + 1, b + 1], respectively. As in Chapter 7, we also assume P(t) is nonsingular for t ∈ [a + 1, b + 2].


Focal Point Discrete Interval Vector Case Term Recurrence Order Difference Equation 
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Copyright information

© Springer Science+Business Media Dordrecht 1996

Authors and Affiliations

  • Calvin D. Ahlbrandt
    • 1
  • Allan C. Peterson
    • 2
  1. 1.University of MissouriUSA
  2. 2.University of NebraskaUSA

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