[PDF] Top 20 Global structure of positive solutions for three-point boundary value problems

... the three-point boundary value problem for second-order differential equations ...Leray-Schauder global con- tinuation theorem in the frame of techniques nicely employed by Ma and ... 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 ... See full document

... of positive solutions for a coupled system of nonlinear three-point boundary value problems of the type − x t f t, x t , y t , t ∈ 0, 1 , − y t g t, x t , y t , t ∈ 0, 1 , ... See full document

... fixed point theorem in ...nth-order three- point boundary value problem is first given and we also look at some properties of the Green’s function associated with problem ...many ... See full document

... On the other hand, to the best of our knowledge, few authors have studied the exis- tence of multiple positive solutions for higher-order multipoint boundary value prob- lems. It is an ... See full document

... fixed point theorem in a cone [5] and some inequalities of the associated Green’s function for the associated problem, the existence of positive solutions for the second-order ... See full document

... Positive solutions for the case f (t,u,u ,u ) = g (t)h(u) have been studied by Ma [15] and Webb [20, 21], when f (t,u,u ,u ) = h(t,u) by He and Ge [5] and also by Lan ...fixed point index for compact ... See full document

... the boundary conditions u(0) = u (0) = u (0) = 0 and u (1) – α u ( η ) = λ ...sufficient structure on the nonlinearity f (t,u), we deduce the existence of at least one positive solution to the ... See full document

... D: Three positive solutions for multipoint one-dimensional p-Laplacian boundary value problems with dependence on the first order ...Second-order boundary value ... 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 solutions to bound- ... See full document

... singular three-point boundary value problems for delay higher-order dynamic equations on time ...of positive solutions are obtained by utilizing the fixed point ... See full document

... used directly in the case. On the other hand, when m-point boundary value condition 1.2 is concerned, the discussion is more difficult since the problem is nonsymmetric and the corresponding operator ... See full document

... of positive solutions for the following nonlinear three- point boundary value problems of nth-order differential equations in ordered Banach ... See full document

... of solutions of multipoint boundary value problems for linear second-order ordinary differential equations was initiated by Il’in and Moiseev ...studied three-point ... 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

... multi-point boundary value problems we refer the reader to ...for boundary value ...of positive solutions for multi-point boundary value ... See full document

... of positive solutions to boundary value problems for differential equations on time scales; see, for example, 1– ...that boundary value problems on time scales to a ... See full document

... establishing positive solutions and mul- tiple positive solutions for two-point and multi-point boundary value problems (BVPs) associated with ordinary and ... See full document

... of solutions for the three-point nonlinear bound- ary value problem u (t) + λa(t) f (u) = 0, 0 < t < 1; u(0) = 0 = u(1) − γu(η), where η ∈ (0, 1), γ ∈ [0, 1), a(t) and f (u) are assumed ... See full document

... f ∈ C([0, + ∞ ), (0, + ∞ )) and f ∞ = + ∞ . Some a priori estimates and the existence, multiplicity and nonexistence of positive solutions are obtained. Our proofs are based on the method of global ... See full document