[PDF] Top 20 Positive solutions for the third-order boundary value problems with the second derivatives

... Webb, JRL, Lan, KQ: Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type.. Topolog Methods Nonlinear Anal J Ju[r] ... See full document

... nonlinear third-order boundary value problems with integral boundary conditions on time ...positive solutions. The discussed problem involves both an increasing and ... See full document

... of boundary value problems is experiencing a rapid ...of problems such as fixed point theorems, shooting method, iterative method with upper and lower solutions, ... See full document

... Finally, it must be mentioned that there are some excellent results on the existence of the positive solutions of BVPs for ordinary differential equations when the Green’s func- tions change their signs; see ... See full document

... By using the four functionals fixed point theorem [], we get the existence of at least one positive solution for BVP (.). In fact, our result is also new when T = R (the dif- ferential case) and T = Z (the ... See full document

... multiple positive solutions was obtained by using the fixed-point index ...itive solutions for the positone case and has at least one positive solution for the semipositone ... See full document

... earliest boundary value problem studied is Dirichlet prob- ...equation. Boundary value problems are most common in physics, such as wave ...of boundary value ... See full document

... In recent years, many authors have studied BVP (.), they only considered that f is non- decreasing or nonincreasing in u, or the boundary condition depends only on derivatives of even orders; see [–] ... See full document

... ary value problems; see [–] for integer order and [–] for fractional differential ...on positive solutions for the following second-order integral BVPs are obtained ... See full document

... Our problem is a dynamic analog of the BVPs 1.1 and 1.2. But it is more general than them. Moreover, conditions for the existence of at least one positive solution were studied for the BVPs 1.1 and 1.2. In this ... See full document

... triple positive solutions for a type of second-order singular boundary problems with general differential ...three positive solutions with suitable growth conditions ... See full document

... has only the trivial solution. In order to prove the existence of a fixed point of () we make use of the Krasnoselskii-Guo fixed point theorem on cone expansion and compression (see []). It is well known that the ... See full document

... In this paper, we investigate the existence of positive solutions for an infinite system of fractional order boundary value problems in a Banach sequence space c. Our analysis ... See full document

... The aim of this paper is to establish some results on existence of monotone positive solutions for problems (1.1). To do this, we give at first the associated Green function and its properties. Then ... See full document

... s ≥ for all r Î [a, b] and s ≠ 0. In the celebrated study [4], Rabinowitz established Rabinowitz’s global bifurcation theory [[4], Theorems 1.27 and 1.40]. However, as pointed out by Dancer [5,6] and López-Gómez [7], the ... See full document

... lower solutions, Ambrosetti-Prodi problem and positive solutions for fourth order ...fourth-order boundary value problem under a two-parameter nonresonance condition,” ... See full document

... of solutions of two- point, three-point, multi-point, and integral boundary value problems for nonlinear or- dinary differential equations and fractional differential ...two-point ... See full document

... of solutions for differential equations has been widely stud- ied by many scholars in the mathematical sense (see [–] and the references ...of positive solutions for the following periodic ... 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 h(t) has n ... See full document

... where a min{0, inf{τ t : 0 ≤ t ≤ 1}}, b max{1, sup{τt : 0 ≤ t ≤ 1}}, and the existence of positive solutions to 1.1 is obtained. When τt t − r in 1.1, Agarwal and O’Regan in 5, Lin and Xu in 6 discussed the ... See full document