báo cáo hóa học:" Research Article Existence of Positive Solution to Second-Order Three-Point BVPs on Time Scales" docx

... pages doi:10.1155/2009/685040 Research Article Existence of Positive Solution to Second-Order Three-Point BVPs on Time Scales Jian-Ping Sun Department of Applied Mathematics, Lanzhou University of Technology, ... problems on time scales,” Journal of Difference Equations and Applications, vol. 8, no. 8, pp. 673–688, 2002. 7 E. R. Kaufmann, Positive solutions...

Ngày tải lên: 21/06/2014, 20:20

... for the existence of periodic solutions of this class of nonautonomous scalar dynamic equations on time scales, the approach that authors used in this paper is based on Mawhin’s continuation theorem. In ... books. But the research of periodic solutions on time scales has not got much attention, see 12–16. The methods usually used to explore the existence of perio...

Ngày tải lên: 21/06/2014, 20:20

... purpose is to establish sufficient conditions on the existence of positive solutions to 1.1 by using some fixed point theorems and some properties of the Green function. By a positive solution to 1.1 ... problem of nonlinear fractional differential equation,” Electronic Journal of Qualitative Theory of Differential Equations, no. 24, 10 pages, 2008. 9 Z. Bai, On p...

Ngày tải lên: 21/06/2014, 05:20

... a<b. Some existence criteria of solution and positive solution are established by using the Leray-Schauder fixed point theorem. In this paper, we consider the existence of positive solutions for ... Difference Equations 17 J. Henderson, A. Peterson, and C. C. Tisdell, On the existence and uniqueness of solutions to boundary value problems on time scales,” Advance...

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... belongs to P and φ00. The fractional derivative is understood here in the Caputo sense. The aim of our paper is to study the solvability of 1.1 and present the existence of mild solution of ... Corporation Advances in Difference Equations Volume 2011, Article ID 963463, 15 pages doi:10.1155/2011/963463 Research Article Existence of Mild Solutions to Fractional...

Ngày tải lên: 21/06/2014, 05:20

... depiction of critical groups. To conquer this difficulty, we compute the Brouwer degree of the s ets of positive solutions and negative solutions to 1.1. Finally, the third nontrivial solution to ... is a solution to 3.8,thenu is positive. Since this contradicts V  ∞ ∈ λ k ,λ k1 ,weconcludethatw ≡ 0 is the only solution to 3.8.A contradiction to w  1....

Ngày tải lên: 21/06/2014, 05:20

... H2,wehavethatF : Y  → Y  is continuous. It is easy to see that u ∈ C 2 0, 1 ∩ C 4 0, 1 being a positive solution of BVP1.2 is equivalent to u ∈ Y  being a nonzero solution equation as follows: u  ... positive solutions for nonlocal boundary value problems of fourth order,” Nonlinear Analysis. Theory, Methods & Applications, vol. 68, no. 3, pp. 645–651, 2008. 9...

Ngày tải lên: 21/06/2014, 07:20

... Publishing Corporation Boundary Value Problems Volume 2010, Article ID 458015, 16 pages doi:10.1155/2010/458015 Research Article Existence of Positive Solutions of a Singular Nonlinear Boundary ... to check that, for 0 <δ<  δ, all of the conditions of Theorem A are satisfied. So there exists a connected component C n of solutions of 2.30 containing a n ,b n ...

Ngày tải lên: 21/06/2014, 11:20

... Publishing Corporation Boundary Value Problems Volume 2010, Article ID 626054, 18 pages doi:10.1155/2010/626054 Research Article Existence of Positive Solutions of Nonlinear Second-Order Periodic ... the existence of positive solutions of 3.17 will not be guaranteed in this case. Proof of Theorem 3.2. We only prove i. ii can be proved by a similar method. To...

Ngày tải lên: 21/06/2014, 11:20

... least one positive solution. Proof. Since f 0  ∞, similar to the second part of Theorem 3.1, we have Au≥u for u ∈ P ∩ ∂Ω H 3 . By f ∞ ∈ 0,ϕ p A 1 , similar to the second part of proof of ... K M x for some positive constants K m ,K M . They established the existence results for at least one positive solution by using a fixed point theorem of cone expansion and...

Ngày tải lên: 21/06/2014, 20:20