On the number of positive solutions of systems of nonlinear dynamic equations on time scales

Abstract: In this paper we consider the following n-dimensional second-order nonlinear system on time scaleswith the Sturm–Liouville boundary conditionswhere , , . Let and . Define number of zeros in the set and number of infinities in the set By using fixed point index theory, we show that: [(i)] if or 2, then there exist such that the system has positive solution(s) for [(ii)] if or 2, then there exist such that the system has positive solution(s) for [(iii)] if or , then the system has no positive solution for sufficiently large or small , respectively. [Copyright &y& Elsevier]