The existence of positive solutions of a class second-order singular super-linear m-point boundary value problems
The existence of solutions of second-order boundary value problems are concerned with various boundary conditions. Many scholars use a lot of ways to discuss the existence of solutions of second-order boundary value problems, for example, by using topological degree theory, partly ordered method and critical point theory, we can obtain the existence of multiple solutions of boundary problems; we discuss the existence of solutions in the case of the right part of the equation does not have continuity condition and the equation has upper and lower solutions; we discuss the boundary problems by using fixed point theorem in cones and coincidence degree theory. This thesis studies the existence of positive solutions of a class second-order singular superlinear multi-point boundary value problems: u(t) = f(t,ut)),t∈(0,l); au(0) -bu(0) = 0, cu1) + du(l) =∑m-2i=1δiu(ζi) by using fixed point theorem in cones, we found a sufficient condition for the existence of positive solutions.
Boundary value problem Positive solutions Fixed point theorem in cones
Jie Zhi
School of Information Engineering, Lanzhou Commercial University, Lanzhou, Gansu, China
国际会议
哈尔滨
英文
367-371
2012-05-19（万方平台首次上网日期，不代表论文的发表时间）