Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Comparison Theorems for Even Order Dynamic Equations on Time Scales(Dynamic Publishers, inc, 2014) Jia Baoguo; Mert, Raziye; Erbe, Lynn; Mert, Raziye; MatematikConsider the following pair of even order linear dynamic equations on a time scale (0.1) x(Delta n)(t) + p(t)x(t) = 0, (0.2) x(Delta n)(t) + q(t)x(t) = 0, where p, q is an element of C-rd(T,R+), n is even, T is a time scale. In this paper, we obtain some point-wise and integral comparison theorems for the above equations. These will be shown to be "sharp" by means of specific examples.Article Oscillation criteria for even order dynamic equations on time-scales(Dynamic Publishers, Inc, 2011) Grace, Said R.; Agarwal, Ravi P.; Kaymakçalan, Billur; Baoguo, Jia; Erbe, Lynn; Mert, RaziyeSome new criteria for the oscillation of even order linear dynamic equations on time-scales of the form xΔn(t) + q(t)x(t) = 0 are established.Article Citation - WoS: 15Citation - Scopus: 15Spectral Parameter Power Series for Sturm-Liouville Equations on Time Scales(Elsevier Science inc, 2012) Mert, Raziye; Peterson, Allan; Erbe, LynnWe will derive formulas for finding two linearly independent solutions of the Sturm-Liouville dynamic equation. We will give several examples. In particular, the q-difference equation which has important applications in quantum theory will be presented. (C) 2012 Elsevier Inc. All rights reserved.