Errata to “oscillation criteria for a nonlinear difference equation”

Int~tio~ Journal

computers & mathematics PERGAMON

Computers and Mathematics with Applications 37 (1999) 127-127

E r r a t a To "Oscillation Criteria for a N o n l i n e a r D i f f e r e n c e E q u a t i o n " Computers Math. Applic., Vol.

36, No. 8, pp. 87-94, 1998

S u I SUN C H E N G Department of Mathematics, Tsing Hua University Hsinchu, Taiwan 30043, R.O.C.

(Received and accepted October 1998) The two displayed formulas in the proof of Theorem 1 should be changed to oo

(Ayn)a > Z ~ q s + l f(Yn+l) - Pn s=n and

)l/u n-~ / ~r*4-1 du n-1 1 ( ~ Ay s _-~ i = s qi+l <--s = a fl/a(Ys+l) <_a y . < O0, s=a Ps Ilia(u)

respectively. The reason is that instead of (16) in Lemma 3, we can derive in a parallel manner the following:

pn(Ayn)~ /(Yn+1)

~

~ , p~+I(Ay.+I)~+~g(y.+2,ys+l)

---- E qs+l -[- s~f n s=n

f(Ys+l)/(Ys+2)

'

and that the second s u m is nonnegative.

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