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Abstract: In this paper, we consider the following nonlinear first-order periodic boundary value problems on time scales Some new existence and multiplicity criteria of positive solutions are established by using several well-known fixed point theorems. [Copyright &y& Elsevier]

In this paper, we consider the following discrete system boundary value problems: with the Dirichlet boundary condition Some sufficient conditions are obtained for the existence of one or two positive solutions to the above system by using a nonlinear alternative of Leray-Schauder type and Krasnosel''skii''s fixed point theorem in a cone. [Copyright &y& Elsevier]

Classification schemes for positive solutions of a class of higher-order nonlinear delay difference equations are given in terms of their asymptotic behavior, and necessary as well as sufficient conditions for the existence of these solutions are also provided. [Copyright &y& Elsevier]