Using fixed point index theory, we study the existence of positive solutionsof the fourth order differential equation with some general boundary conditions, where g(t) is allowed to be singular at t=0 and/or 1. Our re...Using fixed point index theory, we study the existence of positive solutionsof the fourth order differential equation with some general boundary conditions, where g(t) is allowed to be singular at t=0 and/or 1. Our results significantly extend and improve many known results even for non-singular cases. An example is given to show how to apply our theorems.展开更多
基金The NSF (19871048) of China and the NSF (Z2000A02) of Shandong Province.
文摘Using fixed point index theory, we study the existence of positive solutionsof the fourth order differential equation with some general boundary conditions, where g(t) is allowed to be singular at t=0 and/or 1. Our results significantly extend and improve many known results even for non-singular cases. An example is given to show how to apply our theorems.
