Abstract. In this paper, by using double fixed point theorem and a new fixed point theorem, some sufficient conditions for the existence of at least two and at least three positive solutions of an nth-order boundary value problem with integral boundary conditions are established, respectively. We also give two examples to illustrate our main results.Keywords: boundary value problems, fixed point theorem, positive solutions, integral boundary conditions.
In this work, we consider a fourth-order four-point boundary value problem for dynamic equations on time scales. We establish criteria for the existence of a solution and a positive solution by using the Leray-Schauder fixed point theorem. We also give an example to illustrate our results.
In this paper, by using fixed point index theory, we study the existence of
positive solutions for nonlinear second-order m-point impulsive boundary
value problems on time scales. As an application, we give an example to
demonstrate our results.
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