[PDF] Top 20 Three positive solutions for second-order periodic boundary value problems with sign-changing weight

... of positive solutions for problem (1.1) with sign-definite weight, and, in general, the main tool in the proofs is the fixed point index theory in ...the weight function changes its ... See full document

... multi-point boundary value problems has received increas- ing ...multi-point boundary value problems of linear second-order ordinary dif- ferential equations was ... See full document

... By using critical point theory, Lyapunov-Schmidt reduction method, and characterization of the Brouwer degree of critical points, sufficient conditions to guarantee the existence of five or six solutions together ... See full document

... Boundary value problems with integral boundary conditions for ordinary differential equations represent a very interesting and important class of problems and arise in the study of ... See full document

... discrete boundary value conditions have been widely studied in the literature; see, for example, [1–11] and the references ...with sign-changing nonlinearities; see ...one positive ... See full document

... 2], boundary value problems for second- and higher-order di ff er- ential equations play a very important role in both theory and ...of solutions and positive ... See full document

... of sign-changing solutions, positive solutions, and negative solutions for BVP ...of sign-changing solutions, positive solutions, and negative ... See full document

... Nontrivial solutions of m-point boundary value problems for singular second-order differential equations with a sign-changing nonlinear ...RY: Positive ... See full document

... the boundary value problems with p-Laplacian operator have also been discussed extensively in literature; for example, see 7–18 ...mutilpoint boundary value problem on time ... See full document

... of Positive Solutions of Singular Second-Order Ordinary Differential Equations Three-Point Boundary Value Prob- lems under Superlinear ... See full document

... of positive solutions for the nonhomogeneous boundary value problem- s have been studied by some authors, see ...of positive solutions of three-point nonhomo- geneous ... See full document

... of solutions of two- point, three-point, multi-point, and integral boundary value problems for nonlinear or- dinary differential equations and fractional differential ...two-point ... See full document

... diverse boundary conditions have been investigated by several authors; we re- fer the reader to [4–6] and the references ...of solutions for the periodic boundary value problem of ... See full document

... Definition 1.1 . A positive solution of problem (1.1) and (1.2) refers to a pair (r, u), where r ≠ 0, u is a solution of (1.1) with u > 0 on T and u satisfies (1.2). Meanwhilem (r, u) is called a negative ... See full document

... x atx admits the maximum principle or the antimaximum principle with respect to the periodic boundary condition. By exploiting Green’s functions, eigenvalues, rotation numbers, and their estimates, he gave ... See full document

... of positive solutions to the problem is Krasnosel’skii’s fixed point theorem of cone expansion/ compression type, see for example [1-4], and the references contained ... See full document

... one positive solution for nonlinear fourth-order semipositone multi-point boundary value ...the second-order derivatives explicitly, but also may be allowed to change sign ... See full document

... of positive solutions for a class of singular second-order differential equations with periodic boundary ...one positive solution to the boundary value ... See full document

... of positive solutions of discrete boundary value problems have received much attention from many authors and a great deal of work has been done by using classical methods such as fixed ... See full document

... lower solutions 1–7 manifests itself as an effective and flexible mechanism that offers theoretical as well as constructive existence results in a closed set, generated by the lower and upper ...approximate ... See full document