Three positive solutions for p-Laplacian functional dynamic equations on time scales

Electronic Journal of Differential Equations

关键词: Time scale;    p-Laplacian functional dynamic equation;    boundary value problem;    positive solution;    fixed point;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this paper, we establish the existence of three positive solutionsto the following p-Laplacian functional dynamic equation on time scales,$$displaylines{[ Phi _p(u^{Delta }(t))] ^{ abla}+a(t)f(u(t),u(mu (t)))=0,quadtin (0,T)_{mathbf{T}}, cru_0(t)=varphi (t),quad tin [-r,0] _{mathbf{T}},\u(0)-B_0(u^{Delta }(eta ))=0,quad u^{Delta }(T)=0,.}$$using the fixed-point theorem due to Avery and Peterson [8].An example is given to illustrate the main result.

【 授权许可】

Unknown