Title of article :
Positive solutions for image-Laplacian functional dynamic equations on time scales
Original Research Article
Author/Authors :
Changxiu Song، نويسنده , , Cuntao Xiao، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2007
Abstract :
In this paper, the authors study the boundary value problems for a pp-Laplacian functional dynamic equation on a time scale,
View the MathML source{[ϕp(x△(t))]∇+a(t)f(x(t),x(μ(t)))=0,t∈(0,T),x0(t)=ψ(t),t∈[−r,0],x(0)−B0(x△(η))=0,x△(T)=0.
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By using the twin fixed point theorem, sufficient conditions are established for the existence of twin positive solutions.
Keywords :
Time scale , Boundary value problem , pp-Laplacian functional dynamic equations , positive solutions , Fixed point theorem
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications