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Journal of Difference Equations and Applications Volume 9, 2003 - Issue 6
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Original Articles

Oscillation Properties of an Emden-Fowler Type Equation on Discrete Time Scales

Elvan Akin-Bohner Department of Mathematics and Statistics, University of Missouri-Rolla, 65409-0020, Rolla, MO, USA
&
Joan Hoffacker† Department of Mathematics, University of Georgia, 30602-7403, Athens, GA, USACorrespondence[email protected]
Pages 603-612 | Received 04 Aug 2002, Accepted 10 Aug 2002, Published online: 12 May 2010

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Lynn Erbe & Raziye Mert. (2011) Oscillation for a nonlinear dynamic system on time scales. Journal of Difference Equations and Applications 17:9, pages 1333-1350.
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L. Erbe, A. Peterson & S.H. Saker. (2008) Oscillation criteria for a forced second-order nonlinear dynamic equation. Journal of Difference Equations and Applications 14:10-11, pages 997-1009.
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Samir H. Saker, Ravi P. Agarwal & Donal O’regan. (2007) Oscillation results for second-order nonlinear neutral delay dynamic equations on time scales. Applicable Analysis 86:1, pages 1-17.
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Articles from other publishers (31)

M.H.M. Christianen, A.J.E.M. Janssen, M. Vlasiou & B. Zwart. (2022) Asymptotic analysis of Emden–Fowler type equation with an application to power flow models. Indagationes Mathematicae.
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Irina Astashova, Josef Diblík & Evgeniya Korobko. (2021) Existence of a solution of discrete Emden-Fowler equation caused by continuous equation. Discrete & Continuous Dynamical Systems - S 14:12, pages 4159.
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Jianfang Gao. (2017) Numerical oscillation and non-oscillation for differential equation with piecewise continuous arguments of mixed type. Applied Mathematics and Computation 299, pages 16-27.
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Taher S. Hassan & Said R. Grace. (2016) Comparison Criteria for Nonlinear Functional Dynamic Equations of Higher Order. Discrete Dynamics in Nature and Society 2016, pages 1-9.
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Yuangong Sun & Taher S. Hassan. (2015) Comparison criteria for odd order forced nonlinear functional neutral dynamic equations. Applied Mathematics and Computation 251, pages 387-395.
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M Tamer Şenel. (2013) Behavior of solutions of a third-order dynamic equation on time scales. Journal of Inequalities and Applications 2013:1.
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Da-Xue Chen. (2012) Oscillatory properties of second-order nonlinear neutral dynamic equations with positive and negative coefficients. Journal of Applied Mathematics and Computing 42:1-2, pages 227-243.
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Raziye Mert. (2012) Oscillation of higher-order neutral dynamic equations on time scales. Advances in Difference Equations 2012:1.
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Ariadna Lago, Victoria Otero-Espinar & Tania Pernas. (2012) Positive solution of singular BVPs for a system of dynamic equations on time scales. Advances in Difference Equations 2012:1.
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Shanliang Zhu & Chunyun Sheng. (2012) Oscillation and Nonoscillation Criteria for Nonlinear Dynamic Systems on Time Scales. Discrete Dynamics in Nature and Society 2012, pages 1-14.
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D. K. K. Vamsi & Pallav Kumar Baruah. (2011) Disconjugacy and Nonoscillation Domains for Nonlinear Singular Interface Problems on Semi-Infinite Time Scales. ISRN Mathematical Analysis 2011, pages 1-23.
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Zhenlai Han, Tongxing Li, Shurong Sun, Chao Zhang & Bangxian Han. (2011) Oscillation Criteria for a Class of Second-Order Neutral Delay Dynamic Equations of Emden-Fowler Type. Abstract and Applied Analysis 2011, pages 1-26.
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Shurong Sun, Zhenlai Han, Ping Zhao & Chao Zhang. (2010) Oscillation for a Class of Second-Order Emden-Fowler Delay Dynamic Equations on Time Scales. Advances in Difference Equations 2010:1, pages 642356.
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Zhenlai Han, Tongxing Li, Shurong Sun & Chenghui Zhang. (2010) Oscillation Behavior of Third-Order Neutral Emden-Fowler Delay Dynamic Equations on Time Scales. Advances in Difference Equations 2010:1, pages 586312.
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Zhenlai Han, Shurong Sun, Tongxing Li & Chenghui Zhang. (2010) Oscillatory Behavior of Quasilinear Neutral Delay Dynamic Equations on Time Scales. Advances in Difference Equations 2010:1, pages 450264.
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Shurong Sun, Zhenlai Han, Ping Zhao & Chao Zhang. (2010) Oscillation for a Class of Second-Order Emden-Fowler Delay Dynamic Equations on Time Scales. Advances in Difference Equations 2010, pages 1-16.
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Zhenlai Han, Tongxing Li, Shurong Sun & Chenghui Zhang. (2010) Oscillation Behavior of Third-Order Neutral Emden-Fowler Delay Dynamic Equations on Time Scales. Advances in Difference Equations 2010, pages 1-24.
Crossref
Zhenlai Han, Shurong Sun, Tongxing Li & Chenghui Zhang. (2010) Oscillatory Behavior of Quasilinear Neutral Delay Dynamic Equations on Time Scales. Advances in Difference Equations 2010, pages 1-25.
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Youjun Xu & Zhiting Xu. (2009) Oscillation criteria for two-dimensional dynamic systems on time scales. Journal of Computational and Applied Mathematics 225:1, pages 9-19.
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Ana Gómez González & Victoria Otero-Espinar. (2009) Existence and Uniqueness of Positive Solution for Singular BVPs on Time Scales. Advances in Difference Equations 2009:1, pages 728484.
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Zhenlai Han, Shurong Sun & Bao Shi. (2007) Oscillation criteria for a class of second-order Emden–Fowler delay dynamic equations on time scales. Journal of Mathematical Analysis and Applications 334:2, pages 847-858.
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Ravi P. Agarwal, Donal O'Regan & S.H. Saker. (2007) Philos-Type Oscillation Criteria for Second Order Half-Linear Dynamic Equations on Time Scales. Rocky Mountain Journal of Mathematics 37:4.
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Samir H. Saker, Ravi P. Agarwal & Donal O'Regan. (2007) Oscillation of second-order damped dynamic equations on time scales. Journal of Mathematical Analysis and Applications 330:2, pages 1317-1337.
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S.H. Saker. (2006) Boundedness of Solutions of Second-Order Forced Nonlinear Dynamic Equations. Rocky Mountain Journal of Mathematics 36:6.
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S.H. Saker. (2006) Oscillation of second-order nonlinear neutral delay dynamic equations on time scales. Journal of Computational and Applied Mathematics 187:2, pages 123-141.
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E. Akın-Bohner. (2006) Positive decreasing solutions of quasilinear dynamic equations. Mathematical and Computer Modelling 43:3-4, pages 283-293.
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Ravi P. Agarwal, Donal O’regan & S. H. Saker. (2006) Oscillation criteria for nonlinear perturbed dynamic equations of second-order on time scales. Journal of Applied Mathematics and Computing 20:1-2, pages 133-147.
Crossref
L. Erbe, A. Peterson & S.H. Saker. (2005) Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales. Journal of Computational and Applied Mathematics 181:1, pages 92-102.
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S.H. Saker. (2005) Oscillation criteria of second-order half-linear dynamic equations on time scales. Journal of Computational and Applied Mathematics 177:2, pages 375-387.
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Ravi P. Agarwal, Donal O'Regan & S.H. Saker. (2004) Oscillation criteria for second-order nonlinear neutral delay dynamic equations. Journal of Mathematical Analysis and Applications 300:1, pages 203-217.
Crossref
Ravi Agarwal, Wan-Tong Li & Martin Bohner. 2004. Nonoscillation and Oscillation Theory for Functional Differential Equations. Nonoscillation and Oscillation Theory for Functional Differential Equations 359 371 .

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