[PDF] Top 20 Existence and Uniqueness Results for Perturbed Neumann Boundary Value Problems

... singular Neumann boundary value problems by using a nonlinear alternative of Leray-Schauder and Krasnosel’skii fixed-point theorem on compression and expansion of cones, and obtained the ... See full document

... the existence of solutions for a non local fractional boundary value problem with integral ...New existence and uniqueness results are established using Banach fixed point ... See full document

... integral boundary condition of (.) can be understood in the sense that the value of the unknown function at the position t =  is proportional to the Riemann-Liouville fractional integral of the unknown ... See full document

... the existence of symmetric solutions for or- dinary differential equation boundary value problems; for example, see [–] and the references ...the existence of symmetric solutions for ... See full document

... p(t) = G(x(t), p(t),t), p(b) = ξ (x(b)). (1.4) Note that systems (1.1) and (1.4) are equivalent in finite dimensional spaces since we may let A(t) ≡ 0 without loss of generality. However, in infinite dimensional spaces, ... See full document

... investigate existence and uniqueness results for the fractional boundary value problem (BVP for short), (1) by using fractional calculus, fixed point theorems and H¨ older ...the ... See full document

... derivative of function u with respect to t, and its definition is given in the next section. f is a continuous function satisfying lim |u|→+∞ f (t, u) = , and u ∈ X, f : [, ] × X → X. Here (X, · ) is a Banach space and ... See full document

... the existence of positive solutions for the above boundary value problems by utilizing a fixed point theorem in ...Several existence results for positive solutions in terms of ... See full document

... recent results on fractional boundary value problems on a infinite interval can be found in [–] and the references ...following boundary value problem for the fractional ... See full document

... for existence and uniqueness of solutions of three point boundary value problem for p-Laplacian fractional order differential ...for existence of solutions and concavity of the operator ... See full document

... the existence of fixed points in partially or- dered metric ...of boundary value ...of existence and uniqueness of solutions of first order boundary value ...The ... See full document

... The paper is organized as follows. In Section 2, we briefly introduce some necessary basic knowledge and definitions about fractional calculus theory. In Section 3, we write (1.4) as an equivalent integral equation, and ... See full document

... This paper generalizes the results of the papers above [6] and presents some existence theorems for the boundary value problems (BVP) (1.1). Two theorems are based on the Banach fixed ... See full document

... The results of this section enable us to obtain that, for some forced relativistic pendu- lum equations with friction and Neumann-Steklov boundary conditions, the existence of a lower solution ... See full document

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

... Singular boundary value problems arise very frequently in fluid mechanics and in other branches of applied ...are results on the existence and asymptotic esti- mates of solutions for ... See full document

... of boundary-value problems with integral boundary conditions for differ- ential equations has become an important area of investigation in recent ...many results on the existence ... See full document

... the existence of solutions of nonlinear ini- tial value problems of fractional differential equations by using the techniques of nonlinear analysis such as fixed point results, the ... See full document

... These results generalized some previous results concerning the asymptotic behavior of solutions of non-delay systems of Schrödinger equations or of de- lay Schrödinger ... See full document

... In this article, we establish some new Opial’s type integral inequalities for an integral operator with homogeneous kernel. The results in special cases yield some of the interrelated results and provide ... See full document