[PDF] Top 20 Iterative solution to singular nth-order nonlocal boundary value problems

... multi-point problems and integral ...the boundary conditions is quite old, see for example the review by Whyburn in ...nonlinear nth-order nonlocal BVP ... See full document

... Lemma . Let ψ , φ be the upper and lower solutions of (.), respectively, and suppose that Hypotheses . and . hold. Then for any solution x(t) of boundary value problem (.) with p(t)φ ≤ ... See full document

... A boundary value problem is called a resonance one if the corresponding homogeneous boundary value problem has a non-trivial ...Resonance problems can be expressed as an abstract ... See full document

... fractional order are a generalization of ordinary differential equations to non-integer ...fractional order differential equations stems in part from the fact that many phenomena cannot be modeled by ... See full document

... is considered, where f is a nonnegative continuous function, l > 0, 0 < A < π 2 , p, q Î L [0, 1], p ( s ) ≥ 0, q ( s ) ≥ 0. The emphasis here is that f depends on all order derivatives. Keywords: ... See full document

... of boundary value problems, including the periodic problem, Neumann problem, and Sturm–Liouville prob- lem, for which we derive the existence of a solution by applying the existence result for ... See full document

... infinite-point boundary value conditions are considered in this ...unique solution into an integral form and then get the Green function BVP ... See full document

... In [12], Henderson and Luca considered the existence of positive solutions for a fractional differential equation subject to BC (1.3), where p ∈ [1, n – 2], q ∈ [0, p]. In [28], Wang and Liu considered a fractional ... See full document

... the singular nonlocal boundary-value problems involving nonlinear integral conditions and the existence of at least one positive solution for the singular nonlocal ... See full document

... of boundary value problems for ordinary differential equations enjoy some ...conjugate boundary value problems for nth-order ordinary di ff erential ...focal ... See full document

... 2009 Solving Singular Second Order Three-Point Boundary Value Problems Using Reproducing Kernel Hilbert Space Method.. 2012 A Numerical Solution to Nonlinear Second Order Three-Point Bou[r] ... See full document

... Motivated by the above works, we consider the nth-order nonlinear singular BVPs (1.1) for the more general equations. In this paper, the results of existence and multiplicity of positive solutions ... See full document

... the value of a local boundary condition, such as u () in (), is more difficult than that of the nonlocal condition (u(η) – u())/(η – ) in ...regards nonlocal BVPs see [–] and ... See full document

... third- order boundary value problems have been studied extensively in the literature see, ...third-order boundary value ... See full document

... be singular at t = , . The study of semiposi- tone problems has a long history in the literature, the work of Anuradha et ...on nonlocal BVPs with nonlinear boundary ...these nonlocal ... See full document

... Singular nonlinear boundary value problems for higher order ordinary differential equations, Nonlin.. Singular boundary value problems, Bull.[r] ... See full document

... of boundary value ...to boundary value problems seems to be traced back to Krasnoselskii’s work on nonlinear operator equations [15], especially the part dealing with the theory of ... See full document

... derivative-dependent nonlinear term, which makes the investigation much more challenging. In this paper we shall develop a new technique to characterize the eigenvalues λ so that the boundary value problem ... See full document

... real-life problems usually results in functional equations, of various types appear in many applications that arise in the fields of mathematical analysis, nonlinear functional analysis, mathematical physics, and ... See full document

... the singular nonlocal boundary value problems involving nonlinear integral ...be singular in its dependent variable and it is allowed to change ... See full document