[PDF] Top 20 Positive solutions of discrete Neumann boundary value problems with sign-changing nonlinearities

... M > ), and lim z→∞ g(t,z) z = ∞ uniformly for t ∈ [α, β] ⊂ (a, b). Motivated by the method in [], the first author and Xu [] discussed its discrete analog and the nonlinearity term also required boundedness ... See full document

... of solutions for boundary value problems by using various topological ...with sign-changing ...obtain positive solutions of semi- positone problems for ... See full document

... For BVPs of differential equations, there are many papers concerned with the bifurca- tion values and exact multiplicities of solutions and positive solutions by bifurcation the- ory, quadrature ... See full document

... In recent years, many authors devoted to the study of (1.1) by employing var- ious methods and obtained some interesting results. Here we mention a few. Employing critical point theory, Agarwal [1] established the ... 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

... singular boundary value problem −u gt, u λh t, u , t ∈ 0, 1 , u 0 0 u 1 , where g h may be singular at u 0, t 0, 1, and may change sign and be superlinear at u ... See full document

... where q ∈ C([0, 2 π ], [0, + ∞ )) with q ≡ 0, f ∈ C( R , R ), the weight h ∈ C[0, 2 π ] is a sign-changing function, λ is a parameter. We prove the existence of three positive solutions when ... See full document

... The purpose of the article is to establish some new criteria for the existence of positive solutions to the problem (1.1). The nonlinear term f may take negative values and the nonlinearity may be ... See full document

... of positive solutions for a system of nonlinear second-order difference equations subject to multi-point boundary conditions, under some assumptions on the nonlinearities of the system which ... 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

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

... integral boundary conditions arise naturally in thermal conduction prob- lems [], semiconductor problems [], hydrodynamic problems ...notes boundary conditions) cover multi-point BCs and ... See full document

... equation boundary value problems; see [–] and the references ...itive solutions; see [, , ...of positive solutions for a class of nonlinear boundary value ... See full document

... with 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 ... See full document

... by changing signs of ...of positive solutions of BVPs for second-order differen- tial equations with indefinite weight has been studied by many authors, see, for exam- ple [2-5] and the references ... See full document

... the nonlinearities f and g only need to be Carath´eodory functions which are bounded on bounded sets whereby their growth does not need to be necessarily ... See full document

... Here, by using critical point theory again, as well as Lyapunov-Schmidt reduction method and degree theory, a sharp condition to guarantee the existence of five or six solutions together with their sign ... See full document

... second-order Neumann problems and con- sider the eigenvalue problem of fourth-order ...multiple sign-changing solutions to BVP ... 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 ... See full document

... studying positive solutions for semipositone problems is more difficult than that for positone ...case, solutions have to live in regions where the nonlinear term is negative as well as ... See full document