Positive solutions to second order boundary value problems / Wan Ashraf Wan Azmi

• 第一著者: Wan Azmi, Wan Ashraf
• フォーマット: 学位論文
• 言語: English
• 出版事項: 2014
• 主題: Instruments and machines; Parallel processing (Electronic computers)
• オンライン･アクセス: http://ir.uitm.edu.my/id/eprint/44597/1/44597.pdf; http://ir.uitm.edu.my/id/eprint/44597/

This thesis is concerned with the existence of positive solutions for second order boundary value problems. In particular, firstly we investigate the existence and multiplicity of positive solutions for a singular second order scalar Sturm-Liouville boundary value problem with different values of A for a function / involve u. Then, we investigate the existence of positive solutions of a Dirichlet boundary value problem where the function / involve u and v!. Lastly, we consider the results of positive solutions for singular Dirichlet second order boundary value problem where the function / involve u and vl in terms of different values of A. The existence results of positive solutions are proved by applying the Krasnosel'skii fixed point theorem on compression and expansion of cones.