[PDF] Top 20 Existence of Solutions for Fourth-Order Four-Point Boundary Value Problem on Time Scales

... some existence criteria of solution for BVP ...basic time-scale definitions are presented and several preliminary results are ...fixed point theorem due to Krasnoselskii and Zabreiko, we establish ... See full document

... the existence of positive solutions for a class of second-order multi-point boundary value problem with p-Laplacian on time ...fixed- point theorem, some new ... See full document

... the existence and multiplicity of positive solutions for nonlinear differential equations on time scales have been studied by some authors [7-11], and there has been some merging of ... See full document

... of time scales, which unifies continuous and discrete analysis, was first introduced by Hilger ...of boundary value problems for dynamic equations on time scales has recently ... See full document

... the existence of at least three symmetric positive solutions of a second-order multi-point boundary value problem on time ... See full document

... the existence of positive solutions for nonlinear singular boundary value problems has been obtained 5, ...m-point boundary conditions for ordinary differential equations and ... See full document

... on time scales which is a unified approach to contin- uous and discrete ...of time scales, in estab- lishing that some results for boundary value problems for ordinary ... See full document

... case, and the theory used in [] cannot be used. And to the best knowledge of the authors, the resonant case on time scales has rarely been considered. So, motivated by the papers mentioned above, in this ... 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 ... See full document

... on time scales (see Davidson and Rynne [, Theorem ...the existence of positive solutions for problem ...Our existence result is related to the first eigenvalue of the associated ... See full document

... are solutions to 1.6 and state two fixed point theorems due to 12, ...in order to prove our main ...the existence of multiple positive solutions of ... See full document

... a time scale an arbitrary nonempty closed subset of the real numbers ...on time scales, one can refer to 1–3, ...the existence of at least triple positive solutions to the following ... See full document

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

... The existence of positive solutions for multi-point boundary value problems has been widely studied in recent ...the existence of n solutions and/or positive ... See full document

... of boundary value problems for ordinary differential equations arises in dif- ferent areas of applied mathematics, physics and so ...The existence of positive solutions for boundary ... 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

... The existence of positive solutions for nonlinear fourth-order multipoint boundary value problems has been studied by many authors using nonlinear alternatives of Leray-Schauder, ... 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 fourth order four-point BVP defined by ...the existence of solutions of that BVP by applying Krasnosclskii-Zabreiko fixed point theorem [19] instead of upper and lower ... 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 solutions ... See full document