an:00553869
Zbl 0791.39001
Chen, Shaozhu
Disconjugacy, disfocality, and oscillation of second order difference equations
EN
J. Differ. Equations 107, No. 2, 383-394 (1994).
00018317
1994
j
39A10
linear difference equation; disconjugacy; disfocality; oscillation
There are given necessary and sufficient conditions for the disconjugacy, disfocality and oscillation, respectively, of the equation \(\Delta (r_ n \Delta x_ n)+p_ nx_{n+1}=0\) for \(n=0,1,2,\dots\), real \(p_ n\) and \(r_ n>0\). The conditions are given explicitly in terms of the coefficients in the equation.
L.Berg (Rostock)