Existence and nonexistence of positive solutions for second-order time scale systems

Abstract: This paper is concerned with the following system on time scale : where and . By using the theory of the fixed point index, we investigate the effect of on the existence and nonexistence of positive solution for the above system in sublinear cases. The results obtained are even new for the special cases of difference system and differential system, as well as in the general time scale setting. [Copyright &y& Elsevier]