Advances in Difference Equations
Volume 2006 (2006), Article ID 62579, 16 pages
doi:10.1155/ADE/2006/62579
Oscillation criteria for first-order forced nonlinear difference equations
Ravi P. Agarwal1
, Said R. Grace2
and Tim Smith1
1Department of Mathematical Sciences, Florida Institute of Technology, Melbourne 32901, FL, USA
2Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, Egypt
Abstract
Some new criteria for the oscillation of first-order forced nonlinear difference equations of the form Δx(n)+q1(n)xμ(n+1)=q2(n)xλ(n+1)+e(n), where λ, μ are the ratios of positive odd integers 0<μ<1 and λ>1, are established.