[PDF] Top 20 Periodic boundary value problems on time scales

... But this implies that x(t) ≥ 0, x ∆ (t) ≥ 0, and x ∆∆ (t) ≥ 0 for all t ≥ c. Similarly we could obtain that if d is a generalized zero where the function x(t) comes from positive to neg- ative values, then x(t) ≤ 0 for ... See full document

... Recently, periodic boundary value problems PBVPs for short for dynamic equations on time scales have been studied by several authors by using the method of lower and upper ... See full document

... with periodic boundary conditions by utilizing the monotone iterative technique under these two ...to periodic boundary value problems of first order dynamic equations on ... See full document

... By using the classical fixed point theorem for operators on cone, in this article, some results of one and two positive solutions to a class of nonlinear first-order periodic boundary value ... See full document

... of periodic boundary value problems for first-order impulsive integrodi ff erential equations of mixed-type on time scales by establishing a comparison result and using the ... See full document

... nth-order periodic boundary value problems, in [11] for antiperiodic dynamic equations, and in [1] for second-order dynamic equations with dependence of the nonlinear term on the first ... See full document

... We assume the reader is familiar with the notation and basic results for dynamic equations on time scales. While the books 20, 21 are indispensable resources for those who study dynamic equations on ... See full document

... a solution of 2.1-1.2. If 2.1 has a solution, denoted by x, then φx Δ ∇ t −yt ≤ 0. There exists a constant τ ∈ ρ0, σ1 such that x Δ τ 0. If it does not hold, without loss of generality, one supposes that x Δ t > 0 for ... See full document

... By using the fixed point index theory in the cone [], we get the existence of at least two positive solutions for the impulsive BVP (.)-(.). Then we generalized this to obtain many positive solutions. By using a ... See full document

... on time scales have been studied by some authors [7-11], and there has been some merging of existence of positive solutions to BVPs with p-Laplacian on time scales ... See full document

... the boundary value problem for an increasing homeomorphism and positive homomorphism on a time scale in which the nonlinear term depends on the first order delta ...a time scale with an ... See full document

... on time scales goes back to Stefan Hilger ...on time scales. Moreover, the study of dynamic equations on time scales has led to several important applications, for example, ... See full document

... the boundary value problem of a similar nth linear ordinary dif- ferential operator P(d/dt) and computed the best constant and best function of a Sobolev type inequality by using the Green ...different ... See full document

... addition, boundary value problems with integral boundary conditions on time scales represent a very interesting and important class of ...of boundary value ... See full document

... discrete boundary value problems, see Kelley and Peterson 18 , Agarwal and O’Regan 19 , Rachunkova and Tisdell 20 , Yu and Guo 21 , Atici and Cabada 22 , Bai and Xu 23 ... See full document

... In this paper, we studied impulsive delay difference equations with periodic boundary conditions. Based on the new concepts of lower and upper solutions, we established two new comparison principles. With ... See full document

... nonlinear boundary value problems of third-order differential equations with integral boundary conditions in ordered Banach spaces by means of fixed-point principle in cone and the fixed-point ... See full document

... paper boundary value problems for periodic analytic functions are ...for periodic analytic functions through detailed ...Riemann boundary value problems for ... See full document

... Since f is continuous, T is continuous and it can be shown that T is a compact oper- ator by the Arzela-Ascoli theorem. Therefore, Theorem 1.8 is applicable to T and T must have a fixed point. Hence the BVP has a ... See full document

... By using the fixed-point index theorem, we consider the existence of positive solutions for the following nonlinear higher-order four-point singular boundary value problem on time scales u Δ n ... See full document