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Some new oscillation results for a nonlinear dynamic system on time scales
Date
2009-12-01
Author
Erbe, Lynn
Mert, Raziye
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We study the oscillation of a system of two first order nonlinear equations on time scales. This form includes the classical Emden-Fowler differential equation and many of its extensions. We generalize some well-known results of Atkinson, Bohner, Erbe, Peterson and others. We illustrate the results by several examples, including a superlinear Emden-Fowler dynamic system.
Subject Keywords
Applied Mathematics
,
Computational Mathematics
URI
https://hdl.handle.net/11511/65201
Journal
APPLIED MATHEMATICS AND COMPUTATION
DOI
https://doi.org/10.1016/j.amc.2009.08.029
Collections
Department of Mathematics, Article
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Oscillation for a nonlinear dynamic system on time scales
Erbe, Lynn; Mert, Raziye (Informa UK Limited, 2011-01-01)
We study the oscillation properties of a system of two first-order nonlinear equations on time scales. This form includes the classical Emden-Fowler differential and difference equations and many of its extensions. We generalize some well-known results of Atkinson, Belohorec, Waltman, Hooker, Patula and others and also describe the relation to solutions of a delay-dynamic system.
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L. Erbe and R. Mert, “Some new oscillation results for a nonlinear dynamic system on time scales,”
APPLIED MATHEMATICS AND COMPUTATION
, pp. 2405–2412, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65201.