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Theory and Modern Applications

Table 1 Illustration of the proof of Lemma 2.3

From: Oscillation of nonlinear third-order difference equations with mixed neutral terms

 

\(\Delta ^{2}y(t)\)

 

Δy(t)

 

y(t)

(2.5)

P

 

P

 

P

(2.9)

N

(2.10)

N

 

N

 

(2.13)

P

(2.14)

P

  

(2.16)

N