Oscillation Properties of an Emden-Fowler Type Equation on Discrete Time Scales
In this paper, we explore the oscillation properties of on a time scale T with only isolated points, where p(t) is defined on T and γ is a quotient of odd positive integers. We define oscillation in this setting, and generate conditions on the integral of p(t) which guarantee oscillation and find conditions which give the existence of a nonoscillatory solution. In addition, we consider the case when solutions of this equation has asymptotically positively bounded differences.
E. Akin and J. Hoffacker, "Oscillation Properties of an Emden-Fowler Type Equation on Discrete Time Scales," Journal of Difference Equations and Applications, Taylor & Francis, Jan 2003.
The definitive version is available at http://dx.doi.org/10.1080/1023619021000053575
Mathematics and Statistics
Keywords and Phrases
time scale; oscillation; nonlinear; 39A13; 93C70
Article - Journal
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