[PDF] Top 20 Multiplicity Results Using Bifurcation Techniques for a Class of Fourth-Order -Point Boundary Value Problems

... Multi-point boundary value problems for ordinary differential equations arise in different areas of applied mathematics and ...second order multi-point boundary value ... See full document

... 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 ) satisfies f ... See full document

... of fourth-order two-point boundary value problems in de- scribing a large class of elastic deflection, there is a wide literature that deals with the existence and ... See full document

... different techniques are required, for example, the shooting method introduced in 1905 by Severini 7 and the more general topological approach, which makes use of Leray-Schauder Degree ...further results, we ... See full document

... nonhomogeneous boundary value problem- s have been studied by some authors, see ...geneous boundary value problems of second-order ordinary differential ...nonhomogeneous ... See full document

... the results of [3,13] to a broader class of nonlinear boundary value problems in a general Banach ...the problems are called semipositone problems, which occur in chemical ... See full document

... multi-point boundary value problems has received increas- ing ...and multiplicity results, see [1, 2, 3, 4]. The study of multi-point boundary value ... See full document

... Boundary value problems arise in several branches of physics as any physical differential equation will have ...them. Problems involving the wave equation, such as the determination of normal ... See full document

... hand, boundary-value problems with integral boundary conditions constitute a very interesting and important class of ...nonlocal boundary-value problems as special ... See full document

... x + kx + lx = f(t, x), 0 < t < 1, x(0) = x(1) = x (0) = x (1) = 0, which is not necessarily linearizable. We give conditions on the parameters k, l and f(t, x) that guarantee the existence of positive solutions. ... 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

... Exact multiplicity of positive solutions have been studied by many ...2mth-order problems, as well as Korman and Li 15. In these papers, bifurcation techniques are ...their ... See full document

... Proof Since x (4) (t) ≥ 0, t Î [0, 1], then x’’’ (t) is increasing on [0, 1]. Considering x’’’ (1) = 0, we have x’’’ (t) ≤ 0, t Î [0, 1]. Thus x’’ (t) is decreasing on [0, 1]. Considering this together with the ... See full document

... singular boundary problems arise in the contexts of chemical heterogeneous catalysts, non-Newtonian fluids and also the theory of heat conduction in electrically conducting materials, see [20]-[25] for a ... See full document

... the multiplicity of positive solutions for the semipositone BVP ..., using the mixed monotone technique, we dis- cuss the uniqueness of a positive solution of BVP ... See full document

... such results often imply the existence of solutions for boundary value problems; see for example [1, 9– 11, 13–15, 17, 18, 22, 24, 26, ... See full document

... fractional order differential equations has emerged as an important area of ...fractional order differential equations satisfying initial (or) boundary conditions to mention a few references [15, 16, ... See full document

... main results of this paper are based on the theory of fixed point index in cones ...with boundary ∂Ω, and K ∩ Ω / ...fixed point index iA, K ∩ Ω, K is well ...fixed point in K ∩ ... See full document

... In section 2, we introduce abstract version of such type of hothesis to obtain existence result for the general nonlinear equation Lu- Nu; that result will then be applied to the periodi[r] ... See full document

... two point boundary value problem associated with coupled second order equations to which a fourth order linear differential equation is reduced... An attractive feature.[r] ... See full document