郭忠勝Jong-Shenq Guo姚志鴻Chih-Hung Yao2019-09-052008-1-142019-09-052007http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22GN0695400043%22.&%22.id.&http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101753這篇論文主要是研究擬線性拋物型方程之非線性邊界值問題的自我相似解。首先對原本的常微分方程作變數變換。然後，研究所對應之常微分方程的邊界值問題，我們利用投射法來證明自我相似解的存在性。In this paper, we study the self-similar solutions for a quasilinear parabolic eauation with nonlinear boundary condition. At first, we change of variables with respect to the original ordinary differential equation. Then, by considering the boundary value problem, we prove the existence of self-similar solutions by a shooting method.擬線性拋物型方程自我相似解投射法quasilinear parabolic equationself-similar solutionsshooting method