Geodesic
Three positive solutions for \(p\)-Laplacian functional dynamic equations on time scales
Electronic journal of differential equations, Tome 2007 (2007)
In this paper, we establish the existence of three positive solutions to the following p-Laplacian functional dynamic equation on time scales,

$\displaylines{ [ \Phi _p(u^{\Delta }(t))] ^{\nabla}+a(t)f(u(t),u(\mu (t)))=0,\quad t\in (0,T)_{T}, \cr u_0(t)=\varphi (t),\quad t\in [-r,0] _{T},\cr u(0)-B_0(u^{\Delta }(\eta ))=0,\quad u^{\Delta }(T)=0,. }$

using the fixed-point theorem due to Avery and Peterson [8]. An example is given to illustrate the main result.
Classification : 39A10, 34B15
Keywords: time scale, p-Laplacian functional dynamic equation, boundary value problem, positive solution, fixed point 
@article{EJDE_2007__2007__a213,
     author = {Wang,  Da-Bin},
     title = {Three positive solutions for {\(p\)-Laplacian} functional dynamic equations on time scales},
     journal = {Electronic journal of differential equations},
     year = {2007},
     volume = {2007},
     zbl = {1137.39007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a213/}
}
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Wang,  Da-Bin. Three positive solutions for \(p\)-Laplacian functional dynamic equations on time scales. Electronic journal of differential equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a213/