[PDF] Top 20 Solution Matching for a Second Order Boundary Value Problem on Time Scales

... We now show that {α Δ c; m | m ∈ R} R. Let k ∈ R and consider the solution ux; k of 1.9, 2.1, with u as defined above. Consider also the solution αx; u Δ c; k of 1.9, 2.1. Hence, by Theorem 2.1, αx; u Δ c; ... See full document

... of time scales, which unifies continuous and discrete analysis, was first introduced by Hilger ...of boundary value problems for dynamic equations on time scales has recently ... See full document

... of time scales (we observe that in, e.g., [3, 18], the problem of evaluating derivatives at points outwith their normal domain of definition can again occur for certain time ... See full document

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

... of one nontrivial periodic solution. Notice that 1.13 implies that 1.11 holds; however, G ± is not covered by 1.14. In fact, conditions 1.13 and 1.14 are borrowed from 6 . The conditions in Theorem 1.3 coincide ... See full document

... Krasnoselskii’s fixed point theorem, the existence of positive solutions was obtained. To the best knowledge of the authors, no work has been done for boundary value prob- lem (.) by applying the ... See full document

... This paper investigates the existence of concave symmetric positive solutions and establishes corresponding iterative schemes for a second-order boundary value problem with integral ... See full document

... where L : dom L ∩ X → Z is a linear operator, N : X → Z is a nonlinear operator, X and Z are Banach spaces. If dim Ker L = dim(Z/ ImL) < ∞ , and ImL is closed in Z, then L will be called a Fredholm mapping of index ... See full document

... The outline of the paper is as follows. In Section 2, for the convenience of the reader we give some definitions and theorems which can be found in the references, and we present some lemmas in order to prove our ... See full document

... Assume that T has a topology that it inherits from the standard topology on R and define the time scale interval 0, 1 T {t ∈ T : 0 ≤ t ≤ 1}. For t ∈ T, define the forward jump operator σ : T → T by σt inf{s ∈ T : ... See full document

... on time scales has also attracted much attention since it provides an unifying structure for differential equations in the contin- uous cases and the finite difference equations in the discrete cases, see ... See full document

... of second-order multi-point boundary value problem with p-Laplacian on time ...the boundary value problem are ... See full document

... on time scales has been studied by many mathematicians since it not only provides a unifying structure of differential and difference equations, but also it has led to many physical, chemical and biological ... See full document

... the matching technique used in this paper is different from the classi- cal ...classical matching technique to obtain a matching solution of a three-point boundary value ... See full document

... multi-point boundary value problems for linear second-order ordinary dif- ferential equations goes back to the method of separation of variables ...nonlocal boundary value ... See full document

... The purpose of this paper is to establish existence and uniqueness result of positive solution to SBVP1.1, 1.2 under conditions that are weaker than conditions in 7 and hence improve the result in 7 by using ... See full document

... where σ ∈ R\{  } . The generalized method of quasilinearization is applied to obtain by iteration a monotone sequence converging uniformly and rapidly to a solution of (.) and (.). In [] Benchohra studied ... See full document

... of boundary value problems with Riemann-Stieltjes -integral conditions for second-order dynamic equations on time scales at ...on Time Scales, An introduction with ... 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

... and consider the operator N : U → C0, 1, R. From the choice of U, there is no y ∈ ∂U such that y γNy for some γ ∈ 0, 1. As a consequence of the nonlinear alternative of Leray-Schauder type 15, we deduce that N has a ... See full document