Solution Matching for a Second Order Boundary Value Problem on Time Scales

Abstract EN

Let ? be a time scale such that a

We will show the existence and uniqueness of solutions for the second-order boundary value problem yΔΔ(t)=f(t,y(t),yΔ(t)),t∈[a,b]?, y(a)=A,y(b)=B, by matching a solution of the first equation satisfying boundary conditions on [a,c]? with a solution of the first equation satisfying boundary conditions on [c,b]?, where c∈(a,b)?.