[PDF] Top 20 Existence of nodal solutions of a nonlinear fourth-order two-point boundary value problem

... the fourth-order two- point boundary value problem x″″ + kx″ + lx = f ( t,x ), 0 < t < 1, x ( 0 ) = x (1) = x′ (0) = x′ (1) = 0, where f ( t, x ) Î C ([0,1] × ℝ , ℝ ... See full document

... From above literature, we can see that the existence and multiplicity results are lar- gely based on the assumption that t and u are separated in nonlinearity term. It is interesting to know what will happen if t ... See full document

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

... three point bound- ary value problems for nonlinear ordinary differential equations have been studied by many authors ...of existence of positive solution to third-order boundary ... See full document

... multi-point boundary value problems has received increas- ing ...theorem, nonlinear alternatives of Leray–Schauder, fixed-point theorems, and coincidence de- gree theory, are used to ... See full document

... the existence of positive or a negative solution of several classes of four- point boundary-value problems for fourth-order ordinary differential ...the existence of an ... 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

... three existence results for problem ...a nonlinear alternative of Leray- Schauder type, on Bressan-Colombo selection theorem for lower semicontinuous set-valued maps with decomposable values and on ... See full document

... nontrivial solutions for ...homoclinic solutions for ...including two Brezis-Nirenbergs linking theorems, Gyulov et ...the existence and multiplicity of nontrivial solutions of BVP ... See full document

... The existence of positive solutions for nonlinear fourth-order multipoint boundary value problems has been studied by many authors using nonlinear alternatives of ... See full document

... the existence of positive solutions for the fourth-order boundary value problem system with p-Laplacian ...The existence of single or multiple positive ... See full document

... the existence of solutions for equation () with various boundary value conditions has been studied ...upper solutions is developed by Ma [] and the multiplicity solutions for a ... See full document

... fractional order differential equations has emerged as an important area of ...of existence of positive solutions for fractional order differential equations satisfying initial (or) ... See full document

... fixed point theorem on cones is applied to obtain the existence of at least two positive solutions of a higher-order three-point boundary value problem for ... 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

... the existence and uniqueness theorems of the second order nonlinear boundary value ...the existence and uniqueness of the solutions of the second order ... See full document

... critical point theory is an effective approach to the study of the boundary value problems of difference ...critical point theory to establish some sufficient conditions on the nonexistence and ... See full document

... the existence of nontrivial solutions for a non-positive fourth-order two-point boundary value problem (BVP) and the existence of positive ... See full document

... some existence criteria of solution for BVP ...fixed point theorem due to Krasnoselskii and Zabreiko, we establish existence of solutions criteria for BVP ... See full document