Spectral Parameter Power Series for Sturm-Liouville Equations on Time Scales
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Date
2012
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science inc
Open Access Color
Green Open Access
No
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Publicly Funded
No
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Impulse
Top 10%
Influence
Average
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Average
Abstract
We 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.
Description
Keywords
Sturm-Liouville, Spectral Parameter, Taylor Monomials, Time Scale, Dynamic equations on time scales or measure chains, Sturm-Liouville theory, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., time scale, Sturm-Liouville, Taylor monomials, spectral parameter
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Erbe, L., Mert, R., Peterson, A. (2012). Spectral parameter power series for Sturm-Liouville equations on time scales. Applied Mathematics And Computation, 218(14), 7671-7678. http://dx.doi.org/10.1016/j.amc.2012.01.037
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
10
Source
Applied Mathematics and Computation
Volume
218
Issue
14
Start Page
7671
End Page
7678
PlumX Metrics
Citations
CrossRef : 7
Scopus : 15
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Mendeley Readers : 3
SCOPUS™ Citations
15
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Web of Science™ Citations
15
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Page Views
2
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