[PDF] Top 20 Bifurcation from interval and positive solutions for a class of fourth-order two-point boundary value problem

... on problem (.) is limited. When l = , the existence of positive solutions of problem ...nodal solutions of problem ... See full document

... where u(t) is the deformation function, L is the length of the beam, f(t) is the load density, E is the Young ’ s modulus of elasticity and I is the moment of inertia of the cross-section of the beam. In this ... See full document

... of positive solutions to BVP ...ear boundary value problems; finally, by employing the Guo-Krasnosel’skii fixed point theorem, some sufficient conditions guaranteeing the existence of a ... See full document

... The rest of this paper is organized as follows. In Section , we present some necessary definitions and preliminary results that will be used to prove our main results. In Sec- tion , we put forward and prove our main ... See full document

... of positive solutions for a class of third-order three-point boundary value ...fixed point theorem on cone, some new criteria to ensure the three-point ... See full document

... that boundary value problem (.) has at least one positive solution for each λ ∈ [, λ ∗ ], two positive solutions for any λ ∈ (, λ ∗ ), and no positive ... See full document

... subject to the boundary conditions u(0) = u (0) = u (0) = 0 and u (1) – α u ( η ) = λ . In this setting, 0 < η < 1 and α ∈ [0, η 1 ) are constants and λ ∈ [0, +∞) is a parameter. By imposing a sufficient ... See full document

... the problem (1.1) cannot transform into a system of second-order equation, the treat- ment method of second-order system does not apply to the problem ...of positive solutions of ... See full document

... know from the proof in 4 that the assumptions H1’ and H3 imply that the component of positive solutions from the trivial solution and the component from infinity are ...these two ... See full document

... is bounded or unbounded. First suppose D k \ I is bounded. Then there exists λ, v ∈ ∂D k with v ∈ ∂T k . If v / 0, by Lemma 3.3 we know v ∈ T j ν for some positive integer j / k and ν ∈ {, −}. As in the proof of ... See full document

... “Positive Solutions of Nonlinear Singular Third- Order Two-Point Boundary Value Problem,” Journal of Mathematical Analysis and Applications, ... See full document

... of positive solutions to the problem ...multi-point boundary value ...of positive solutions for the pro- blem ... See full document

... of positive solutions for nonlinear fourth-order multipoint boundary value problems has been studied by many authors using nonlinear alternatives of Leray-Schauder, the fixed ... See full document

... of positive solutions for a fourth-order system of integral boundary value problem on time ...multiple positive solutions for the system is obtained by using ... See full document

... Fourth-order boundary value problems, including those with the p-Laplacian operator, have their origin in beam theory [, ], ice formation [, ], fluids on lungs [], brain warp- ing [, ], ... See full document

... the problem (1.1) cannot transform into a system of second-order equation, the treat- ment method of second-order system does not apply to the problem ...of positive solutions of ... See full document

... to fourth-order two-points boundary value problem of ...fixed point theorem and degree theory to establish existence, uniqueness, and multiplicity of positive ... See full document

... are two arbitrary constants satisfying b  0, a = − 1 b and f  C a b (    ,  0,  ) , 0,   ) ) ...above boundary value problem exist a unique symmetric positive ...fixed ... See full document

... In this paper, we establish spectrum properties of (.) in Section  and use the global bifurcation techniques on time scales (see Davidson and Rynne [, Theorem .] or Luo and Ma []) to discuss the existence ... See full document

... For other results on the existence and multiplicity of positive solutions and nodal solutions for boundary value problems of ordinary di ff erential equations based on bifurcation techniq[r] ... See full document