Twin positive solutions of nonlinear first-order boundary value problems on time scales Original Research Article

In this paper we consider the following nonlinear first-order boundary value problem on time scale TT: View the MathML source{xΔ(t)=f(x(σ(t))),t∈[0,T]T,x(0)=βx(σ(T)), Turn MathJax on where 0<β<10<β<1. Some existence criteria for at least two positive solutions are established by using the well-known twin-fixed-point theorem due to Avery and Henderson.