a class of books

... tshsu@mail.cgu. edu.tw Center for General Education, Chang Gung University, Kwei-San, Tao-Yuan 333, Taiwan ROC Abstract In this paper, we are concerned with the following quasilinear elliptic equation ... Trang 1R E S E A R C H Open AccessMultiple positive solutions for a class of quasi-linear elliptic equations involving concave-convex nonlinearities and Hardy terms Tsing-San Hsu Correspondence: ... 1(0)) Remark 1.4 As Ω is a bounded smooth domain and p = 2, the results of Theorems 1.1, 1.2 are improvements of the main results of [18] Remark 1.5 As Ω is a bounded smooth domain and p ≠ 2,

Ngày tải lên: 20/06/2014, 22:20

... difference equations can be considered as the discrete analog of classical Volterra-Fredholm type integral equations, which arise in the theory of parabolic boundary value problems, the mathematical modeling ... difference equations, qualita-tive analysis, quantitaqualita-tive analysis, bounded 1 Introduction In this paper, we study a class of Volterra-Fredholm type difference equation with the following ... such as boundedness, uniqueness, and continuous dependence on initial data The Gronwall-Bellman inequality [5,6] and its various generalizations that provide explicit bounds play a fundamental

Ngày tải lên: 21/06/2014, 00:20

... Differential and Integral Equations, vol 2, no 1, pp 91–110, 1989 Z Bai, “The method of lower and upper solutions for a bending of an elastic beam equation,” Journal of Mathematical Analysis and Applications, ... fourth-order boundary value problems,” Journal of Mathematical Analysis and Applications, vol 116, no 2, pp 415–426, 1986 R P Agarwal, “On fourth order boundary value problems arising in beam analysis,” ... Mathematics for providing research facilities The author also thanks the anonymous referees for their careful reading of the first draft of the manuscript and making many valuable suggestions Research

Ngày tải lên: 21/06/2014, 05:20

... of exponential stabilization for a class of uncertain nonlinear systems by means of periodically intermittent control Several sufficient conditions of exponential stabilization for this class of ... uncertain nonlinear systems are formulated in terms of a set of linear matrix inequalities by using quadratic Lyapunov function and inequality analysis technique Also, the synthesis of stabilization ... exponential stabilization problem for a class of uncertain nonlinear systems is investigated by means of periodically intermittent control, and some exponential stability criteria are established Finally,

Ngày tải lên: 21/06/2014, 06:20

... Trang 1Volume 2011, Article ID 845413, 18 pagesdoi:10.1155/2011/845413 Research Article Lagrangian Stability of a Class of Second-Order Periodic Systems Shunjun Jiang, Junxiang Xu, and Fubao ... to change the original problem to Hamiltonian system and then use a twist theorem of area-preserving mapping to the Pioncar´e map The above differential equation essentially possess Hamiltonian ... the mapping f  has an invariant curve inΓA , the constant ς and Δ depend on a, a, b, b, l1, l2, and I. In particular, ς is independent of Trang 17Remark 2.10 If −l1, l2, g1, g2satisfy all the

Ngày tải lên: 21/06/2014, 07:20

... scale,” Journal of Mathematical Analysis and Applications, vol 319, no 1, pp 315–325, 2006 35 R Agarwal, M Bohner, and A Peterson, “Inequalities on time scales: a survey,” Mathematical Inequalities ... user, Boston, Mass, USA, 2001 a 32 M Bohner and A Peterson, Advances in Dynamic Equations on Time Scales, Birkhă user, Boston, Mass, a USA, 2003 33 V Lakshmikantham and A S Vatsala, “Hybrid systems ... a Class of Generalized Neural Networks with Impulses and Arbitrary Delays on Time Scales Yongkun Li, Erliang Xu, and Tianwei Zhang Department of Mathematics, Yunnan University, Kunming, Yunnan

Ngày tải lên: 21/06/2014, 07:20

... constraint violation taking account of the satisfaction degree of decision maker The basic idea of this algorithm is to adjust the three-level parameters of decision maker until a satisfactory solution ... the stochastic parameters, we introduce an appropriate combination of the mean and variance of the cost, which is to be minimized subject to some chance constraints The variance appeared in the ... satisfied with a probability as higher as possible.For the Trang 44 Journal of Inequalities and Applicationsgeneral stochastic constraints Awx ≥ bw, we obtain their deterministic formulations

Ngày tải lên: 21/06/2014, 07:20

... of dynamical systems have been already recognized from Poincar´e; homoclinic orbits play an important role in analyzing the chaos of dynamical system In the past decade, this problem has been ... solutions of nonlinear difference equations by using the critical point theory in the literature; see 1 3 In general, 1.1 may be regarded as a discrete analogue of a special case of the following ... F1 and F 1 are weaker than f1 Therefore, both Theorems 1.1 and 1.2 generalize Theorem A by relaxing conditions f1 and f2. When Fn, x is subquadratic at infinity, as far as the authors

Ngày tải lên: 21/06/2014, 11:20

... for all λ ∈ 0, λ0 and has one positive solution for λ  λ0and no positive solution for λ > λ0 Actually, Adimurthi et al.2 , Damascelli et al 3 , Ouyang and Shi4 , and Tang 5 proved that ... the parameters λ, μ ≥ 0 He also assumed that f λ x  λfxf−x is sign-changing and g μ x  ax  μbx, where a and b satisfy suitable conditions, and provedE f λ ,g μ has at least ... focus of a great deal of research in recent years By the Rellich compactness theorem and the Minimax method, it is easy to obtain a ground state solution forE b in bounded domains When Ω is an

Ngày tải lên: 21/06/2014, 11:20

... Ma, “Nodal solutions of boundary value problems of fourth-order ordinary differential equations,” Journal of Mathematical Analysis and Applications, vol 319, no 2, pp 424–434, 2006. 11 R Ma and ... elastic beam equations,” Applied Mathematics Letters, vol 17, no 2, pp 237–243, 2004. 4 Q Yao, “Solvability of an elastic beam equation with Caratheodory function,” Mathematica Applicata, vol ... Applied Mathematics and Computation, vol 168, no 2, pp 1219–1231, 2005. 9 R Ma, “Nodal solutions for a fourth-order two-point boundary value problem,” Journal of Mathematical Analysis and Applications,

Ngày tải lên: 21/06/2014, 16:20

... total computational time in Part B is measured because from the proof of Lemma2we see that the computational complexity of Part B is dominant So the adjacency matrices to be evaluated are generated ... that identities are appeared However, identities may not be appeared in the real biological relevance The reasons why such identities are appeared are that the state is binarized and that a time-delay ... (3) has no redundant variables For example, in the logical functionh(a, b) = a ∧(b ∨¬ b), h(a, 0) = h(a, 1) holds So b is a redundant variable, and h(a, b) can be rewritten as h(a) = a Any given

Ngày tải lên: 21/06/2014, 16:20

... p(x)-Laplacian, and be-comes p-Laplacian when p(x) ≡ p (a constant) The p(x)-Laplacian possesses more cated nonlinearities than the p-Laplacian; for example, it is inhomogeneous The study of Trang ... study of Kirchhoff type equations has already been extended to the case involving the p-Laplacian (for details, see [27–29]) and p(x)-Laplacian (see [30–33]) Many authors have studied the Neumann ... stationary thermo-rheological viscous flows ofnon-Newtonian fluids and in the mathematical description of the processes filtration of anideal barotropic gas through a porous medium [4,5] Another

Ngày tải lên: 21/06/2014, 17:20

... p-Laplacian differential equation with a deviating argument,” Journal of Mathematical Analysis and Applications, vol 336, no 2, pp 1107–1123, 2007 2 S Lu, “Existence of periodic solutions to a ... Recall that p-Laplacian equations have been of great interest for many mathematicians. Especially, there is a large literaturesee, e.g., 1 7 and references therein about the existence of periodic ... February 2010; Accepted 19 March 2010 Academic Editor: Gaston Mandata N’Guerekata Copyrightq 2010 Hui-Sheng Ding et al This is an open access article distributed under the Creative Commons Attribution

Ngày tải lên: 21/06/2014, 18:20

... Ahmad Asif and Rahmat Ali Khan Centre for Advanced Mathematics and Physics, Campus of College of Electrical and Mechanical Engineering, National University of Sciences and Technology, Peshawar ... monograph by Agarwal et al.19 Trang 22 Boundary Value Problems The study of system of BVPs has also fascinated many authors System of BVPs with continuous nonlinearity can be seen in20–22 and ... ordinary differential equations and also 12 for boundary value problems on time scales Recently, the study of singular BVPs has attracted the attention of many authors, see for example,13–18 and

Ngày tải lên: 21/06/2014, 20:20

... Department of Mathematics, Shandong Normal University, Jinan 250014, China 2 Department of Mathematics, National University of Ireland, Galway, Ireland Correspondence should be addressed to Yansheng ... the notation of Rabinowitz, let E be a real Banach space and L : E → E be a compact linear map If there exists μ ∈ R  0, ∞ and 0 /  v ∈ E such that v  μLv, μ is said to be a real characteristic ... the algebraic multiplicity of each characteristic value μ k of L is 1; ivφ k ∈ T k for k  1, 2, 3, , and φ1is strictly positive on 0, 1. Trang 6Proof From5 and by a similar analysis as

Ngày tải lên: 21/06/2014, 20:20

... the above analysis Assume, for instance, that the linear dynamics of Σ is subject to variations defined by a small parameter ε, A dc and A dd are time-invariant, and A c t εA c for all t ≥ 0 and ... and digital state-variables can be mutually coupled and to possess internal delays8 10 An important class of hybrid systems of wide presence in technological applications like telecommunication, ... solution at sampling instants guarantees the existence of a fixed point of an extended auxiliary discrete system and the existence of a global asymptotic attractor of the solutions which is either a

Ngày tải lên: 21/06/2014, 20:20

... results and applications of the case that boundary value problems on time scales to a variety of problems from Khan et al.21, Agarose et al 22, Wang 23, Sun 24, Feng et al.25, Feng et al ... found, if not explained specifically, in almost all literature related to time scales The readers who are unfamiliar with this area can consult for example11,12,18,19 for details For convenience, ... in mathematics However, it has led to several important applications, for example, in the study of insect population models, neural networks, heat transfer, and epidemic models; see, for example,

Ngày tải lên: 21/06/2014, 20:20

... problem is not trivial at all But since both p- and q-Laplacian operators are involved, careful analysis is needed A typical difficulty for problem 1.1 in RNis the lack of compactness of the Sobolev ... wide range of applications in physics and related sciences such as biophysics, plasma physics, and chemical reaction design In such applications, the function u describes a concentration, the ... Trang 1Volume 2009, Article ID 185319, 19 pagesdoi:10.1155/2009/185319 Research Article 1 School of Mathematics Science, Institute of Mathematics, Nanjing Normal University, Jiangsu, Nanjing

Ngày tải lên: 21/06/2014, 20:20

... Remark 4.2 Condition H includes e-concave function see 6  as special case For example, Liu and Yu7 consider the existence and uniqueness of positive solution to a class of singular boundary ... constructing lower and upper solutions and with the maximal theorem Our nonlinearity f t, u, v may be singular at v, t  0 and/or t  1. Copyrightq 2009 X Du and Z Zhao This is an open access article ... of this paper is to fill this gap In addition, it is valuable to point out that the nonlinearity f t, u, v may be singular at t  0, t  1 and/or v  0. When referring to singularity we mean

Ngày tải lên: 21/06/2014, 20:20

... the class HT of factors M having HT Cartan subalgebras A ⊂ M , i.e., maximal abelian ∗ -subalgebras A ⊂ M such that M has the property H relative to A and A contains a subalgebra A0 ⊂ A with A0 ... class of M We call HT the Cartan subalgebras satisfying the combination of the rigidity and compact approximation properties and denote by HT the class of factors having HT Cartan subalgebras ... this paper the class of type II1 factors with maximal abelian satisfying both a weak rigidity property, in the spirit of Kazhdan, Margulis ([Ka], [Ma]) and Connes-Jones ([CJ]), and a weak amenability...

Ngày tải lên: 06/03/2014, 08:21