[PDF] Top 20 Existence of Positive Solution to Second-Order Three-Point BVPs on Time Scales

... It is interesting that the method used in this paper is completely different from that in 6, 7, 9, 10, that is, a new representation of Green’s function for the corresponding linear BVP is obtained and some ... See full document

... By time scale we mean a closed subset of the real numbers. Let T be an arbitrary time scale. We assume that T has the topology that it inherits from the standard topology on R. Assume that a < b are ... See full document

... the existence of symmetric positive solutions of second-order boundary value problems have been studied by some authors, see [, ...symmetric positive solution is limited to the ... See full document

... Regarding time scales, some results on the existence and uniqueness of classical solu- tions or solutions in the sense of distribution for n =  can be found in the articles [–] and ... See full document

... the existence of at least one positive solution to a nonlinear second-order Sturm-Liouville-type multipoint eigenvalue problem on time ...general time scales, and ... See full document

... the existence of positive solutions for continuous case of the semipositone Sturm-Liouville ...Sturm-Liouville BVPs on time scale of positone nonlinear ...obtained positive ... See full document

... with second-order differential equations emerge in a variety of areas of applied mathematics and ...nontrivial solution for the three-point boundary value problem, under certain growth ... See full document

... unique solution and then studied the dependence of this solution on the parameters λ and ...the existence and nonexistence of positive solutions to a class of third-order ... See full document

... p-Laplacian BVPs with sign changing nonlinearity on time scales,” Mathematical and Computer Modelling, ...of positive solutions for a generalized right-focal boundary value problem with ... See full document

... fixed point index theory, the authors showed the existence of multiple positive solutions for the above Sturm-Liouville boundary value problems for second order differential ...the ... See full document

... for second-order ordinary differential equations arise in many areas of applied mathematics and physics; see 1–3 and references ...of three-point boundary value problems for nonlinear ... See full document

... or three-point boundary value problems BVPs have received much attention from many authors; see 2–10 and the references ...fixed point theorem to prove the existence of solution ... See full document

... the existence of solutions for equation () with various boundary value conditions has been studied ...a three- point boundary value problem at resonance were ...gular three-point and ... See full document

... on time scales, such as the method of lower and upper solutions, fixed-point theory, coincidence degree theory and so on (see [, ...fixed point theorem of strict-set-contraction to study the ... See full document

... on time scales that will be used to show our main ...a time scale as well as the Schauder fixed point ...the existence of positive periodic solutions by using the Schauder ... See full document

... the existence of at least three solutions of ...has three monotone solutions under the growth conditions imposed on f for all A ∈ ...be positive. The proofs of the main results are proved by ... See full document

... and time-dependent heat conductivity ...of BVPs by Liu 25 but is restricted to simpler two-point boundary ...the second-order three-point BVPs in a general setting, ... See full document

... least three positive solutions under suitable ...on time scales but also the nonlinear term f is involved with the first-order delta derivative of the unknown ... See full document

... multi-point BVPs for linear second-order ordinary differential equations was initiated by Il’in and Moiseev ...multi-point BVPs, ... See full document

... some existence criteria of solution for BVP ...basic time-scale definitions are presented and several preliminary results are ...fixed point theorem due to Krasnoselskii and Zabreiko, we ... See full document