[PDF] Top 20 Positive solutions for a system of second order discrete boundary value problems

... nonlinear problems from computer science, eco- nomics, mechanical engineering, control systems, biological neural networks, and others leads to the consideration of nonlinear difference equations (see [2, 4, 21, ... See full document

... of positive solutions for an infinite system of fractional order boundary value problems in a Banach sequence space ... See full document

... the system for nonlinear fourth- order di ff erential ...the positive solutions and the multiple positive solutions for singular and nonsingular system of nonlinear ... See full document

... establishing positive solutions for boundary value problems associated with ordinary and fractional order differential ...fractional order differential ... See full document

... multiple positive solutions for a system of nonlinear fractional order infinite-point boundary value prob- ...one positive solution. We also prove that the boundary ... See full document

... Hindawi Publishing Corporation Advances in Difference Equations Volume 2009, Article ID 671625, 15 pages doi 10 1155/2009/671625 Research Article A Global Description of the Positive Solutions of Subl[.] ... See full document

... have become the assumptions in the searching for positive solutions of singular second-order equations and systems; see for instance Chu and Torres 2, Chu et al. 3, Franco and Torres 4, Jiang ... See full document

... a system of second-order equation, the treat- ment method of second-order system does not apply to the problem ...of positive solutions of the problem ... See full document

... With appropriate boundary value conditions, the existence of positive solution of equa- tion () is significant and helpful. The Liebau phenomenon, which is in honor of the physi- cian Liebauh’s ... See full document

... a positive parameter. The m -point boundary value problem for linear second-order ordinary diffe- rential equations was initiated by Ilin and Moiseev [1] ...multi-point boundary ... 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

... two positive solutions of BVP ...variables. Second, compared with [], the method and conditions used to get result of multiple positive solutions are quite different from that used in ... See full document

... “Multiple positive solutions of periodic boundary value problems for second order impulsive differential equations, ” ...“Positive solutions Positive ... See full document

... The rest of the paper is organized as follows. In Section 2, we give some preliminaries and a lemma which establishes a completely continuous operator. In Section 3, Theorems 3.1 and 3.2, and results for the existence of ... 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

... symmetric positive solutions and establishes corresponding iterative schemes for a second-order boundary value problem with integral boundary ... See full document

... However, third-order or higher-order derivatives do not have the convexity; to the best of our knowledge, no results are available for the existence of positive solutions for third- ... See full document

... In this section, we present the Avery-Peterson fixed point theorem and some lemmas. Theorem . ([]) Let P be a cone in a real Banach space E. Let γ and θ be nonnegative continuous convex functional on P. Let α be a ... 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

... 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