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  • 标题:Existence of a solution for a general order boundary value problem using the Leray-Schauder fixed point theorem
  • 本地全文:下载
  • 作者:Nicola Fabiano ; Vahid Parvaneh
  • 期刊名称:Vojnotehnicki glasnik / Military Technical Courier
  • 印刷版ISSN:0042-8469
  • 电子版ISSN:2217-4753
  • 出版年度:2021
  • 卷号:69
  • 期号:2
  • 页码:323-337
  • DOI:10.5937/vojtehg69-29703
  • 语种:English
  • 出版社:Ministry of defence of the Republic of Serbia: University of defence in Belgrade
  • 摘要:Introduction/purpose: This paper illustrates the existence of a generic Green’s function for a boundary value problem of arbitrary order that appears in many phenomena of heat convection, e.g. in the atmosphere, in the oceans, and on the Sun’s surface. Methods: A fixed point theorem in the Leray–Schauder form has been used to establish the existence of a fixed point in the problem. Results: The existence of a solution has been shown for an arbitrary order of the problem. Some practical examples are proposed. Conclusions: The boundary problem has a solution for an arbitrary order n.
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