Twin n-point boundary value problems

Abstract. We establish the existence of positive solutions to twin time-scale problems given by the dynamic equation -u (t) = a(t)f(u(t)), t (t1, tn) T with boundary conditions u(t1) = n-1 i=2 iu(ti), u (tn) = 0, or u (t1) = 0, u(tn) = n-1 i=2 iu(ti), using a functional-type cone expansion-compression fixed point theorem.

• Type: Journal
• Year: 2004
• Where: APPML
• Authors: D. R. Anderson
• Keywords: APPML 2004, Dynamic Equation, N-1 I=2 Iu, Time-scale Problems