Publications-Periodical Articles

Article View/Open

Publication Export

Google ScholarTM

NCCU Library

Citation Infomation

Related Publications in TAIR

題名 Multiple solutions of nonlinear integro-differential equations
作者 蔡隆義
Tsai, Long-Yi
貢獻者 應數系
日期 1989
上傳時間 25-Sep-2018 16:21:36 (UTC+8)
摘要 The paper deals with the boundary value problem (1) $-\\Delta u=f(x,u,K(u))$ in $\\Omega$, (2) $u=g$ on $\\partial\\Omega$, where $\\Omega\\subset{\\bf R}^n$, $n\\geq 2$, is a bounded domain and $K(u)$ a nonlinear integral operator. The main attention of the author is concentrated on the existence of multiple solutions of the problem considered. By the constructive method the existence of a maximal (minimal) solution is proved, by an application of a variational equation the existence of multiple solutions is proved, and by an application of the topological degree arguments the existence of a multiple positive solution is proved. The paper contains some misprints and unclear statements.
關聯 Bulletin of the Institute of Mathematics. Academia Sinica, 17(2), 125-141
AMS MathSciNet:MR1042424
資料類型 article
dc.contributor 應數系
dc.creator (作者) 蔡隆義
dc.creator (作者) Tsai, Long-Yi
dc.date (日期) 1989
dc.date.accessioned 25-Sep-2018 16:21:36 (UTC+8)-
dc.date.available 25-Sep-2018 16:21:36 (UTC+8)-
dc.date.issued (上傳時間) 25-Sep-2018 16:21:36 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/120123-
dc.description.abstract (摘要) The paper deals with the boundary value problem (1) $-\\Delta u=f(x,u,K(u))$ in $\\Omega$, (2) $u=g$ on $\\partial\\Omega$, where $\\Omega\\subset{\\bf R}^n$, $n\\geq 2$, is a bounded domain and $K(u)$ a nonlinear integral operator. The main attention of the author is concentrated on the existence of multiple solutions of the problem considered. By the constructive method the existence of a maximal (minimal) solution is proved, by an application of a variational equation the existence of multiple solutions is proved, and by an application of the topological degree arguments the existence of a multiple positive solution is proved. The paper contains some misprints and unclear statements.en_US
dc.format.extent 161 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Bulletin of the Institute of Mathematics. Academia Sinica, 17(2), 125-141
dc.relation (關聯) AMS MathSciNet:MR1042424
dc.title (題名) Multiple solutions of nonlinear integro-differential equations
dc.type (資料類型) article