Search

Abstract: In this paper we consider the following nonlinear first-order periodic boundary value problem with parameter on a time scale where is a parameter. For suitable , some existence, multiplicity and nonexistence criteria of positive solutions are established by using well-known results from the fixed-point index. [Copyright &y& Elsevier]

Abstract: This paper is concerned with the existence of positive solutions of -Laplacian dynamic equation subject to boundary conditions or , where with . By using the five functionals fixed-point theorem, we prove that the boundary value problem has at least three positive solutions. As an application, an example is given to illustrate the result. [Copyright &y& Elsevier]

Abstract: Let be a time scale such that . We consider the three-point boundary value problem for -Laplacian dynamic equations on time scales of the form for with boundary conditions , , where is symmetric in and with . By using a pseudo-symmetric technique and the five-functionals fixed-point theorem, we prove that the boundary value problem has at least three positive pseudo-symmetric solutions under some assumptions. As an application, an example is given to illustrate the result. [Copyright &y& Elsevier]

Abstract: In this paper we are concerned with the following nonlinear first-order periodic boundary value problem on time scales Some new existence criteria of at least one solution are established by using novel inequalities and the well-known Schaefer fixed point theorem. [Copyright &y& Elsevier]

Abstract: In this paper, an existence criterion is established for a class of second order perturbed dynamic inclusions on time scales with boundary conditions. The main approach is a fixed-point theorem for multi-valued maps due to Dhage. [Copyright &y& Elsevier]

Abstract: In this paper, we consider the controllability of a certain class of evolution differential inclusions in Banach spaces. A sufficient condition is established by using a recent fixed-point theorem for multi-valued maps due to Dhage combined with an evolution system. An example is also given to illustrate our result. [Copyright &y& Elsevier]

Abstract: In this paper we are concerned with the following system of nonlinear first-order periodic boundary value problems on time scale where is continuous and there exists a constant such thatSome existence criteria of positive solution are established by using a fixed point theorem for operators on cone. [Copyright &y& Elsevier]