- Research Article
- Open Access
Oscillation criteria for first-order forced nonlinear difference equations
© Ravi P. Agarwal et al. 2006
Received: 11 August 2005
Accepted: 25 April 2006
Published: 6 July 2006
Some new criteria for the oscillation of first-order forced nonlinear difference equations of the form Δx(n)+q1(n)x μ (n+1) = q2(n)x λ (n+1)+e(n), where λ, μ are the ratios of positive odd integers 0 <μ < 1 and λ > 1, are established.
- Agarwal RP, Bohner M, Grace SR, O'Regan D: Discrete Oscillation Theory. Hindawi, New York; 2005:xiv+961.View ArticleMATHGoogle Scholar
- Agarwal RP, Grace SR: Forced oscillation of n th-order nonlinear differential equations. Applied Mathematics Letters 2000,13(7):53–57. 10.1016/S0893-9659(00)00076-8MathSciNetView ArticleMATHGoogle Scholar
- Agarwal RP, Grace SR, O'Regan D: Oscillation Theory for Difference and Functional Differential Equations. Kluwer Academic, Dordrecht; 2000:viii+337.View ArticleMATHGoogle Scholar
- Agarwal RP, Wong PJY: Advanced Topics in Difference Equations, Mathematics and Its Applications. Volume 404. Kluwer Academic, Dordrecht; 1997:viii+507.View ArticleGoogle Scholar
- Cecchi M, Došlá Z, Marini M: Nonoscillatory half-linear difference equations and recessive solutions. Advances in Difference Equations 2005,2005(2):193–204. 10.1155/ADE.2005.193View ArticleMathSciNetMATHGoogle Scholar
- Hardy GH, Littlewood JE, Pólya G: Inequalities, Cambridge Mathematical Library. 2nd edition. Cambridge University Press, Cambridge; 1988:xii+324.MATHGoogle Scholar
This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.