Existence of solutions for a two-point boundary value problem on time scales

摘要

Let T be a time scale. Let f:[0,σ(1)]×R2→R be continuous. We study the existence of solutions for the nonlinear two-point boundary value problems on time scalex▵▵(t)=f(t,x(t),x▵(t)),t∈[0,1]x(0)=0,x▵(σ(1))=0.We do not need any growth restrictions on f.