Geodesic
Three positive solutions for \(p\)-Laplacian functional dynamic equations on time scales
Electronic journal of differential equations, Tome 2007 (2007)
Zbl   EuDML
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 
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__a113/
@article{EJDE_2007__2007__a113,
     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__a113/}
}
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