Positive Solutions for a nonlinear n-th order m-point boundary-value problem

Electronic Journal of Differential Equations

关键词: Boundary value problem;    positive solution;    fixed point theorem;    Green's function;   

DOI  :  

来源: DOAJ

【 摘 要 】

Using the Leggett-Williams fixed point theorem in cones,we prove the existence of at least threepositive solutions to the nonlinear $n$-th order $m$-pointboundary-value problem$$displaylines{Delta^{n}u(k)+a(k)f(k,u)=0, quad kin {0,N},cru(0)=0,; Delta u(0)=0, dots, Delta^{n-2}u(0)=0,quadu(N+n)=sum_{i=1}^{m-2}alpha_iu(xi_i).}$$

【 授权许可】

Unknown