[PDF] Top 20 On the Nonexistence and Existence of Solutions for a Fourth Order Discrete Boundary Value Problem

... is clear that K is homeomorphic to S l−1 l − 1 dimension unit sphere by an odd map. With 4.13, we get sup K −J < 0. Thus all the conditions of Lemma 2.3 are satisfied, and J has at least l distinct pairs of nonzero ... See full document

... and nonexistence of positive solutions for the integral boundary value problem ...the existence of positive solutions is also ... See full document

... (, ∞ ) → [, ∞ ) is continuous, that is, f (t, u) may be singular at t = ,  and u = . By constructing a special cone and using an approximation method and fixed point index theory, the authors obtained some results on ... See full document

... on discrete third-order three-point right-focal boundary value problems, in this paper we will study an nth-order n-point right-focal boundary problem on time ...gives ... See full document

... the existence, nonexistence, and multiplicity of positive solutions for the following nonlinear three- point boundary value problems of nth-order differential equations in ... See full document

... Non-Local Boundary Value Problem,” International Journal of Open Problems in Computer Sci- ence and Mathematics, ...and Nonexistence of ... See full document

... the existence and nonexistence of positive solutions to problem ...the existence of positive solutions for problem ... See full document

... of one nontrivial periodic solution. Notice that 1.13 implies that 1.11 holds; however, G ± is not covered by 1.14. In fact, conditions 1.13 and 1.14 are borrowed from 6 . The conditions in Theorem 1.3 coincide with the ... See full document

... multi-point boundary value problems has received increas- ing ...the existence and multiplicity results, see [1, 2, 3, ...multi-point boundary value problems of linear ... 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 ... See full document

... nonlinear boundary value problem generated by a fourth order differential equation on the semi-infinite interval in which the lim-4 case holds for fourth order differential ... See full document

... operator and the fixed-point theorem in a cone for a strict-set-contraction operator. The paper is organized as follows. In Section , we present some preliminaries and lem- mas that will be used to prove our main ... See full document

... all order derivatives u’ , u″ , u‴ are not involved explicitly in the nonlinear term ...the existence of positive solutions for the nonlocal fourth-order boundary value ... See full document

... Motivated by the above works, in the present paper we establish some multiplicity re- sults for problem (.) under rather different assumptions on the functions f , h and g. It is worth noticing that in our ... See full document

... where the constants a, b, c, and d ≥ 0 are chosen suitable positive. At these cases, we do not use the related Green’s function. Thus, our approach is applicable in cases where we cannot construct a Green’s function or ... See full document

... The organization of this paper is as follows. In Section , we state some notations and preliminary knowledge about the topological degree theory and fixed point index theory. In Section , we present the spectrum of ... 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 ...the existence of solutions and positive ... See full document

... Obviously, BVP1.1 can be regarded as the special case of BVP1.2 with Bt β. Since the parameters Bt is variable, we cannot expect to transform directly BVP1.2 into an integral equation as in 16. We will apply the cone ... See full document

... the existence and the multiplicity of solutions for an impulsive boundary value problem for fourth-order differential ...weak solutions are introduced. Then the ... 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