INTERVAL OSCILLATION CRITERIA FOR SECOND-ORDER DELAY AND ADVANCED DIFFERENCE EQUATIONS

Authors : Feza GÜVENILIR A

Pages : 39-48

Doi:10.1501/Commua1_0000000646

View : 45 | Download : 10

Publication Date : 2009-02-01

Article Type : Research Paper

Abstract :Interval oscillation criteria are established for second-orderdiğerence equations in the forminsert ignore into journalissuearticles values(k insert ignore into journalissuearticles values(n);xinsert ignore into journalissuearticles values(n);); +p insert ignore into journalissuearticles values(n); x insert ignore into journalissuearticles values(g insert ignore into journalissuearticles values(n);); +q insert ignore into journalissuearticles values(n); jx insert ignore into journalissuearticles values(g insert ignore into journalissuearticles values(n););jn; n02 N = f0; 1; :::g;1x insert ignore into journalissuearticles values(g insert ignore into journalissuearticles values(n);); =e insert ignore into journalissuearticles values(n); ;insert ignore into journalissuearticles values(E ); wherenquences of real numbers;k insert ignore into journalissuearticles values(n); > 0is nondecreasing;ginsert ignore into journalissuearticles values(n);is nondecreasing,limn 1ginsert ignore into journalissuearticles values(n); = 1:Several oscillation criteria are given for equationinsert ignore into journalissuearticles values(E );considered as to separate delay and advanced diğerence equationswhenginsert ignore into journalissuearticles values(n); < nandginsert ignore into journalissuearticles values(n); > nrespectively. Illustrative examples are included
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