Báo cáo hóa học: " Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument" ppt

... Open Access Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument Guotao Wang 1* , SK Ntouyas 2 and Lihong Zhang 1 * Correspondence: ... 2001, 42:1353-1363. 41. Yang Ch, Zhai Ch, Yan J: Positive solutions of the three-point boundary value problem for second order diffe...

Ngày tải lên: 21/06/2014, 03:20

... this transient they remain close to the solution of reduced problem with an arising new fast transient at the end of considered interval. Our analysis relies on the method of lower and upper solutions. 1. ... Oe √ m/a−c  and the constant functions α, β satisfy the differential and boundary inequalities required on the lower and upper solutions for 3.1...

Ngày tải lên: 21/06/2014, 11:20

... determination of substructures of algebraical struc- tures, in the theory of geometric objects and classification of near-rings and quasialge- bras, can be found, for example, in [1–5] and in the recent ... (1.1) and its generalized version f  x + f (x) k y  = λf(x) f (y) (1.2) play a significant role in the theory of functional equations. Some information on the applicat...

Ngày tải lên: 22/06/2014, 22:20

... 2 Positive solutions of difference equations Recently, the existence of positive solutions of finite difference equations with different boundary value conditions is investigated in [1–5] and references ... 10–12, 347–355. [2] R.I.Avery,C.J.Chyan,andJ.Henderson,Twin solutions of boundary value problems for o rdinary differential equations and finite difference...

Ngày tải lên: 22/06/2014, 22:20

... 178 Positive solutions of some BVPs by means of fixed point index theory for A-proper maps. A key restriction in [2, 9]isthat f must take positive values. Lan and Webb [13] improved the results of ... 2004 We use the theory of fixed point index for weakly inward A-proper maps to establish the existence of positive solutions of some second-order three-point bou...

Ngày tải lên: 23/06/2014, 00:20

... Habets, “Upper and lower solutions in the theory of ODE boundary value problems: classical and recent results,” in Non-Linear Analysis and Boundary Value Pr oblems for Ordinary Differential Equations ... pair of lower and upper functions, the existence and location results for problems 1.1 and 1.2 can be obtained. Boundary Value Problems 5 Theorem 3.1. Suppose t...

Ngày tải lên: 21/06/2014, 05:20

... existence and uniqueness of solutions of boundary value problems for these equations without the standard assumption about smallness of the norms of the operators A and B. 4 Journal of Inequalities and ... one, then Green’s function G  t, s of problem 1.1, 1.2 is positive i n the square 0,ω× 0,ω. The scheme of the proof was based on the red...

Ngày tải lên: 22/06/2014, 03:20

... uite challenging and rewarding, and the results about these equations offer prototypes towards the de velopment of the basic theory of the global behavior of nonlinear differ- ence equation s of a big ... University, Mansoura 35516, Egypt Authors’ contributions EMEla investigated the behavior of the solutions, HAE-M found the solutions of the special cases and...

Ngày tải lên: 21/06/2014, 00:20

... authors. YZ carried out the design of the study, the statistical analysis and drafted the manuscript. SS and ZH conceived, instructed the design of the study and polished the manuscript. WF participated ... cited. singular and nonsingular boundary value problems by means of the Krasnosel’skii fixed point theorem and a mixed monotone method. Xu et al. [21] considered...

Ngày tải lên: 21/06/2014, 03:20

... order of entire solutions of some algebraic differential equations and improve the related results of Bergweiler, Barsegian, and others. We also estimate the growth order of entire solutions of a ... bound for entire solutions. Theorem 1.4. Let w(z) be an entire function in the complex plane and all zeros of w(z) have multiplicity at least k (k ∈ N), P [w] be a po...

Ngày tải lên: 21/06/2014, 17:20