| ID | 64006 |
| FullText URL | |
| Author |
Kametaka, Yoshinori
Faculty of Engineering Science, Osaka University
Watanabe, Kohtaro
Department of Computer Science, National Defense Academy
Nagai, Atsushi
Department of Computer Sciences, College of Liberal Arts, Tsuda University
Takemura, Kazuo
College of Science and Technology, Nihon University
Yamagishi, Hiroyuki
Tokyo Metropolitan College of Industrial Technology
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| Abstract | We consider the boundary value problem for fourth order linear ordinary differential equation in a half line (0,∞), which represents bending of a beam on an elastic foundation under a tension. A tension is relatively stronger than a spring constant of elastic foundation. We here treat four self-adjoint boundary conditions, clamped, Dirichlet, Neumann and free edges, at x = 0. We show the positivity and the hierarchical structure of four Green functions.
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| Keywords | Green function
boundary value problem
positivity
hierarchical structure
|
| Note | Mathematics Subject Classification. Primary 34B27; Secondary 34B05.
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| Published Date | 2023-01
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| Publication Title |
Mathematical Journal of Okayama University
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| Volume | volume65
|
| Issue | issue1
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| Publisher | Department of Mathematics, Faculty of Science, Okayama University
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| Start Page | 145
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| End Page | 173
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| ISSN | 0030-1566
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| NCID | AA00723502
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| Content Type |
Journal Article
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| language |
English
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| Copyright Holders | Copyright ©2023 by the Editorial Board of Mathematical Journal of Okayama University
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| File Version | publisher
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| Refereed |
True
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| Submission Path | mjou/vol65/iss1/8
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