[PDF] Top 20 Existence Results for Higher Order Boundary Value Problems on Time Scales

... Time scales and time-scale notation are introduced well in the fundamental texts by Bohner and Peterson 1, 2 , respectively, as important ...of boundary value problems on ... See full document

... domain (see [12] and references therein) and has been studied recently for differential equations (see, e.g., [6, 10]) and also for difference equations [4, 8]. It can be treated in the framework of second-order ... See full document

... on time scales goes back to Stefan Hilger ...p-Laplacian problems on time scales; see, for example, ...the existence of solutions to boundary value problems ... See full document

... on time scales goes back to its founder Stefan Hilger 8 and is a new area of still fairly theoretical exploration in ...on time scales can build bridges between continuous and discrete ...of ... See full document

... the existence of at least one positive solution for a coupled system of higher order two-point fractional order boundary value problems under suitable ... See full document

... The study of impulsive dynamic equations on time scales has been initiated by Hender- son [4], Benchohra et al. [5], and Atici and Biles [6]. Extremal solutions of PBVP for im- pulsive differential equations ... See full document

... However, to the best of the authors’ knowledge, up to now, there are few articles concerned with the existence of m-point boundary value problem with p-Laplacian on time scales. So, in ... See full document

... This paper is organized as follows. In Section , we provide some necessary background about time scales, the theory of cones in Banach space and some preliminary lemmas. We give and prove our main ... See full document

... the existence of positive solutions of the p-Laplacian BVP ...the existence of the solution of ...in order to prove the main results and we get the existence of at least one and two ... See full document

... the existence of positive solutions for singular boundary value problem on time ...intermediate value theorem may not necessarily ...the existence of positive solutions for ... See full document

... two-point boundary value problems where the corresponding linear homogeneous boundary value problem has a one dimensional solution ...the existence of solutions to the these ... See full document

... nonlocal boundary value problems, and one of the first of these was ...multipoint boundary value problems for second-order linear ordinary differential equations, see 2, 3, ... See full document

... the existence of multiple positive solutions to nonlinear third-order boundary value problems with inte- gral boundary conditions on time ... See full document

... time scales. When the nonlinear term f does not depend on the first order derivative, many researchers study multipoint boundary conditions on time scales, see [, , ...the ... See full document

... singular higher- order continuous boundary value problems by using mixed monotone method, for example, see 6, 14, ...crete boundary value ... See full document

... the boundary conditions ...and results concerning time scales—further details can be found in, for example, [4, 8, 14, ...standard boundary value formulation more precisely, and ... See full document

... The main features in this paper are as follows. First, we study two new multi-point BVPs on time scales at resonance, which have rarely been considered, and thus we need to over- come some new difficulties. ... See full document

... on time scales,” Mathematical and Computer Modelling, ...right-focal boundary value problem with p-Laplacian operator,” Journal of Mathematical Analysis and Applications, ... See full document

... multipoint boundary value problems arise in a variety of different areas of applied mathematics and ...multipoint boundary value problem 2; also many problems in the theory of ... 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