Oscillation of a Family of q-Difference Equations

Jul 4th 2010, 21:21
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Description

and when T = Z the dynamic equation (1.1) is the difference equation ... what Wong refers to as a new Riccati integral equation in the continuous ... Abstract. We obtain the complete classification of oscillation and nonoscillation for the q-difference equation
b(−1)n
x(qt) = 0, b = 0,
x∆∆ (t) +
tc
where t = q n ∈ T = q N0 , q > 1, c, b ∈ R. In particular we prove that
this q-difference equation is nonoscillatory, if c > 2 and is oscillatory,
if c < 2. In the critical case c = 2 we show that it is oscillatory, if

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Dynamic equation , Difference equation

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  • Author : unknown
  • Generator : pdfeTeX-1.21a
  • Created : Thu Jul 3 16:48:50 2008
  • Last Modified : 1371545268
  • Total Pages : 7

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