Geodesic
Three positive solutions for $p$-Laplacian functional dynamic equations on time scales
Electronic Journal of Differential Equations, Tome 2007 (2007).

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Summary: 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__a13,
     author = {Wang, Da-Bin},
     title = {Three positive solutions for $p${-Laplacian} functional dynamic equations on time scales},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2007},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a13/}
}
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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__a13/