[PDF] Top 20 Optimal intervals for uniqueness of solutions for lipschitz nonlocal boundary value problems

... of boundary value problems, with classical papers including Jackson [31, 32], Eloe and Henderson [8], Hankerson and Henderson [19] and Henderson et ... See full document

... of solutions for nonlocal boundary value problems of higher- order nonlinear fractional differential equations, ...point boundary conditions, ...for boundary value ... See full document

... HENDERSON, I., Uniqueness of solutions of right focal p.,[,,t boundary value problems for or.[nary dlfferenttal equations, J.. JAGKSON, L., Uniqueness of solutions of boundary value prob[r] ... See full document

... on boundary value problems of fractional difference equations ...and uniqueness of so- lution to some discrete fractional boundary value problems of order less than ... 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

... eigenvalue intervals of the nonlinear fractional differential equation boundary value problem are considered, some sufficient conditions for the nonexistence and existence of at least one or two ... See full document

... and uniqueness of positive solutions for a class of higher-order nonlocal fractional differential equations with Riemann-Stieltjes integral boundary ... See full document

... Fractional calculus has been investigated in diverse by several researchers. The recent development covers the theoretical as well as potential applications of the subject in phys- ical and technical science. Fractional ... See full document

... and uniqueness of solutions for boundary value problems with p-Laplacian delay differential equations on the ...of solutions is derived from the Schauder fixed point theorem, ... See full document

... [13] J. L. Lions; On some questions in boundary value problems of mathematical physics. In Contemporary developments in continuum mechanics and partial differential equations, vol- ume 30 of ... See full document

... and uniqueness of weak solutions to a class of nonlinear beam equation are established under certain assumptions (locally Lipschitz plus affine domination) on the ...and uniqueness of the ... See full document

... and uniqueness of nontrivial solutions to a class of fractional nonlocal multi-point boundary value problems of higher order fractional differential equation, this kind of ... See full document

... implies uniqueness” for solutions of boundary value problems for ordinary differential equations enjoy some ...for solutions of k-point conjugate boundary value ... See full document

... the uniqueness and existence of local solutions for the boundary value problem of a quasilinear parabolic ...model problems in nonstationary radiative heat transfer and reaction-di ff ... See full document

... upper solutions. Wei ([15]) constructed the method of upper and lower solutions for three-point boundary value problems and gave the sufficient and necessary conditions for the ... See full document

... 5 Uniqueness of positive solutions for the singular boundary value problem In this section, we consider the uniqueness of positive solution for BVP ... See full document

... where 2 < α ≤ 3, 0 < β ≤ 1 are real numbers and 0 1 D β 0+ u(t) dA(t) denotes a Riemann-Stieltjes integral. By means of monotone iterative technique and some inequalities associated with the Green function, not ... See full document

... In recent years, there has been considerable progress on the study of semipositione problems (F (0) < 0 but finite)(see [2],[3],[6]). Many results have been obtained on kind of infinite semipositone ... See full document

... In the last years, the theory of differential equations and inclusions of fractional order at- tracted the attention of a large number of researchers. To a large extent, this is caused by its interesting applications in ... See full document

... Choose αt −t, βt t and γ t t. It is easy to check that αt −t, and βt t are lower and upper solutions of BVP 3.66, 3.67 respectively, and all the assumptions in Theorem 3.2 are satisfied. Therefore by Theorem 3.2 ... See full document