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

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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__a213,
     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__a213/}
}
TY  - JOUR
AU  - Wang, Da-Bin
TI  - Three positive solutions for $p$-Laplacian functional dynamic equations on time scales
JO  - Electronic Journal of Differential Equations
PY  - 2007
VL  - 2007
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a213/
LA  - en
ID  - EJDE_2007__2007__a213
ER  - 
%0 Journal Article
%A Wang, Da-Bin
%T Three positive solutions for $p$-Laplacian functional dynamic equations on time scales
%J Electronic Journal of Differential Equations
%D 2007
%V 2007
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a213/
%G en
%F EJDE_2007__2007__a213
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/