Multiple positive solutions for time scale boundary value problems on infinite intervals (Q1028009)

Consider the time-scale boundary value problems \[ (\phi _{p}(u^{\Delta }(t)))^{\nabla }+q(t)f(u(t),u^{\Delta }(t))=0,\quad t\in (0,\infty)_{T} \] \[ u(0)=\beta u^{\Delta }(\eta )~,\quad \lim_{t\in \mathbb{T},~t\to \infty}u^{\Delta }(t)=0, \] where \(\mathbb{T}\) is a time scale. By means of Leggett-Williams fixed point theorem, the authors establish sufficient conditions that guarantee the existence of at least three positive solutions to the above boundary value problem.