[PDF] Top 20 Multiple Positive Solutions for m-Point Boundary Value Problem on Time Scales

... a time scale an arbitrary nonempty closed subset of the real numbers ...on time scales, one can refer to 1–3, ...triple positive solutions to the following m-point ... See full document

... of positive solutions for a fourth-order system of integral boundary value problem on time ...of multiple positive solutions for the system is obtained by ... See full document

... fixed point theorem with properties of Green’s function, this paper shows the existence of multiple positive solutions for a class of m-point second-order Sturm-Liouville-like ... See full document

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

... multipoint positive solutions of BVPs on time ...multipoint boundary conditions on time scales, see [, , ...of positive solutions for multipoint BVP on ... See full document

... integral boundary value problems on time ...fixed point theorem and Legget-Williams fixed point theorem, some criteria for the existence of at least one, two, and three positive ... See full document

... where p : ( ρ (a), σ (b)) T → [0, ∞) and f : [ ρ (a), σ (b)] T → [0, ∞) are continuous; and q : ( ρ (a), σ (b)) T → (–∞, ∞) is Lebesgue ∇ -integrable. By constructing a special cone and using a fixed point theorem, ... See full document

... Let T be a closed nonempty subset of R. In the light of some of the current literature, T is called a time scale or measure chain. The following definitions and preliminary notions, which can be found in 1–3, lay ... See full document

... fixed point theorem to verify the existence of at least one symmetric positive solution of a second-order m-point boundary value problem on time scales such ... See full document

... of m-point boundary value problem with p-Laplacian on time ...following m-point BVP with one-dimen- sional ... See full document

... three positive solutions in the generalized m-point boundary value problem for the p-Laplacian dynamic equations on time scales by means of the ... See full document

... The organization of this paper is as follows. In Section , we present the expression and properties of Green’s function associated with problem (.). In Section , we present some definitions and lemmas which are ... See full document

... fixed point theorem. Li and Zhang [24] considered the existence of multiple symmetric nonnegative solutions for the second-order bound- ary value ... See full document

... Definition . A function f : T → R is rd-continuous (rd-continuous is short for right- dense continuous) provided it is continuous at each right-dense point in T and has a left- sided limit at each left-dense ... See full document

... existence criteria of at least one and three positive solutions are presented. The first one is based on the Four functionals fixed point theorem in the work of R. Avery et al. 2008, and the second ... See full document

... of positive solutions for nth-order multipoint boundary problems has been studied by some authors see 1, ...one positive solution for nth-order differential equations by applying means of fixed ... See full document

... a problem in the ...fixed point theorem to show the existence of positive solutions of a fourth-order dynamic boundary value problem under different boundary ... See full document

... on time scales was introduced by Hilger [] as a theory which includes both dif- ferential and difference calculus as a special ...researchers. Time scale calculus would allow the exploration of a ... See full document

... right-focal boundary value problems, in this paper we will study an nth-order n-point right-focal boundary problem on time ...for positive solutions to the ... See full document

... on time scales goes back to its founder Hilger 3 and it is a new area of still fairly theoretical exploration in ...years boundary value problem on time scales has ... See full document