[PDF] Top 20 On the existence and uniqueness of solutions to boundary value problems on time scales

... 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

... the existence and uniqueness of smooth positive solutions to a class of singular m-point boundary value problems of second-order ordinary differential ...the existence and ... See full document

... the existence of positive solutions for nonlinear singular boundary value problems has been obtained 5, ...p-Laplacian problems with two-, three-, and m-point boundary ... See full document

... the existence and uniqueness of solutions for the following singular higher-order continuous and discrete boundary value problems ...the existence and uniqueness of ... See full document

... the existence of solutions on infinite intervals for delay differential ...the existence and uniqueness of solutions on infinite intervals for second-order delay bound- ary value ... See full document

... the existence and uniqueness of solutions for mixed fractional q-difference boundary value problems involving the Riemann–Liouville and the Caputo fractional ... See full document

... the existence and uniqueness of solutions of fuzzy nabla dynamic equations on time scales under Hukuhara ...establish existence and uniqueness solution for fuzzy nabla ... See full document

... on existence and uniqueness of solutions to nonlinear boundary value problems for fractional order differential ...of existence of solutions to boundary ... See full document

... multipoint boundary value problems on time ...a boundary value problem has at least three positive ...study existence of positive solutions of a multipoint ... See full document

... the existence of many positive solutions for a class of second-order p-Laplacian boundary value problems with impulse on time ... See full document

... the existence of multiple positive solutions for the above Sturm-Liouville boundary value problems for second order differential ...the existence of three positive ...the ... See full document

... In this paper, we obtain an equivalent integral equation for a class of fractional bound- ary value problem with p-Laplacian operator. Using the properties of the corresponding Green function and ... See full document

... -point boundary value problem for linear second-order ordinary diffe- rential equations was initiated by Ilin and Moiseev [1] ...the existence of general nonlinear multi-point boundary ... See full document

... Higher-order boundary value problems were discussed in many papers in recent years; for instance, see 1–22 and references ...the boundary conditions in the above-mentioned references are for ... See full document

... Note that this problem was considered in 6 where the authors proved the existence of one positive solution for 1.1 by using Krasnoselskii’s fixed point theorem and nonlinear alternative of Leray-Schauder type in a ... See full document

... case, and the theory used in [] cannot be used. And to the best knowledge of the authors, the resonant case on time scales has rarely been considered. So, motivated by the papers mentioned above, in this ... See full document

... Remark 4. Notice that the hypotheses in Theorem 3 are invariant by continuous per- turbation. More precisely, if f(t, 0) = 0 for any t Î [0, 1] and f satisfies (H1) and (H2) of Theorem 3 then g(t, x) = a(t) + f(t, x) ... See full document

... on time scales goes back to its founder Hilger [1], and is a new area of still theoretical exploration in ...on time scales can build bridges between continu- ous and discrete ...of ... See full document

... the existence of at least one positive solution for third-order boundary value problems with integral boundary conditions for an increasing homeomorphism and homomorphism on time ... See full document

... two problems of boundary value problems for a fractional differential ...the existence of at least one positive solution for both fractional boundary value ... See full document