models with difference equations limiters and switches

... Trang 1WITH DIFFERENCE EQUATIONSK M TAMIZHMANI, A RAMANI, B GRAMMATICOS, AND A S CARSTEA Received 15 October 2003 and in revised form 10 March 2004 We propose two models for the description ... to a better understanding of the whole process The mathematical models [8] of biological processes can be classified into two broad categories: stochastic and deterministic models In the first, ... play an important role and probabilistic answers are usually sought In the second, one deals with larger samples and the model is usually expressed in terms of differential equations [13] In what...

Ngày tải lên: 23/06/2014, 00:20

... generated from arandom low-rank doubly stochastic matrix without noise 160 4.5 Comparison of NN, ASNN1 and ASNN2 with observations generatedfrom a random low-rank doubly stochastic matrix with 10% ... over R+ with ε > 0 127 4.2 Comparison of ASNN, IRLS-0 and sIRLS-0 on easy problems 154 4.3 Comparison of ASNN, IRLS-0 and sIRLS-0 on hard problems 155 4.4 Comparison of NN and ASNN with ... his generosity insupplying me with impressive understanding and support in coding I would alsolike to thank Dr Ding Chao and Mr Wu Bin for their helpful suggestions anduseful questions on my thesis...

Ngày tải lên: 10/09/2015, 09:12

... Trang 1fference EquationsVolume 2007, Article ID 68023, 15 pages doi:10.1155/2007/68023 Research Article Periodic and Almost Periodic Solutions of Functional Difference Equations with Finite Delay ... of (3.7) withG(n,φ) = F(n + j∗,φ) and with the same δ0as the one for{ u(n) } Set η n0− x n0 = μ < δ0 Again, for sufficient large j, we have the simi-lar relations (3.10) and (3.12) with u ... following functional difference equations with finite delay: x(n + 1) = F n,x n under certain conditions forF(n, ·) (see below), wheren, j, and τ are integers, and x nwill denote the functionx(n...

Ngày tải lên: 22/06/2014, 22:20

... variable in difference equations with continuous variable In view of this fact, we may also refer to them as di fference equations with continuous time. Difference equations with continuous variable ... unusual properties of difference equations (and, in particular, of difference equations with continuous variable) For some results on the oscillation of difference equations with continuous variable, ... Trang 1EQUATIONS WITH CONTINUOUS VARIABLECH G PHILOS AND I K PURNARAS Received 14 October 2003 We consider a nonhomogeneous linear delay difference equation with continuous vari-able and establish...

Ngày tải lên: 23/06/2014, 00:20

... Unit Bank of England Email: alina.barnett@bankofengland.co.uk (2) Centre for Central Banking Studies Bank of England Email: haroon.mumtaz@bankofengland.co.uk (3) Monetary Assessment and Strategy ... component model with stochastic volatility 15 3.5 Threshold and smooth transition VAR models 16 3.6 Rolling and recursive VAR model 17 3.7 Bayesian model averaging 17 Appendix A: Tables and charts ... and co-authors on the evolving dynamics of US inflation is a often cited example of this literature In particular, Cogley and Sargent (2002), Cogley and Sargent (2005) and Cogley, Primiceri and...

Ngày tải lên: 06/03/2014, 14:20

... lan-guage models and extend their ability to capture richer contexts and long-distance dependencies In particular, we integrate backward n-grams and mu-tual information (MI) triggers into language models ... language models (Zhang et al., 2006; Emami et al., 2007; Brants et al., 2007; Talbot and Osborne, 2007) and syntax-based lan-guage models (Charniak et al., 2003; Shen et al., 2008; Post and Gildea, ... two models to enhance the abil-ity of standard n-gram language models in captur-ing richer contexts and long-distance dependencies that go beyond the scope of forward n-gram win-dows The two models...

Ngày tải lên: 07/03/2014, 22:20

... 26 (2010) 175-184 Stability Radii for Difference Equations with Time-varying Coefficients Le Hong Lan* Department of Basic Sciences, University of Transport and Communication, Hanoi, Vietnam Received ... Vietnam Received 10 August 2010 Abstract. This paper deals with a formula of stability radii for an linear difference equation (LDEs for short) with the coefficients varying in time under structured ... E(t) and F (t) are given scaling matrices defining the structure of the perturbation and ∆ is an unknown disturbance. We now want to study a discrete version of this work by considering a difference...

Ngày tải lên: 22/03/2014, 11:20

... Volterra-Lotka models with discontinuous coefficients and continuous delays 1 Introduction Reaction-diffusion equations with time delays have been studied by many researchers devoted to the equations with ... equations with discontinuous coefficients have been investigated extensively in are devoted either to scalar equations without time delays or to coupled system of equationswithout time delays and ... Parabolic and Elliptic Equations, Plenum Press, New York, NY, USA, 1992. 2 C V Pao, “Systems of parabolic equations with continuous and discrete delays,” Journal of Mathematical Analysis and Applications,...

Ngày tải lên: 21/06/2014, 05:20

... transmission and boundary conditions 1 Abstract Model Initial Boundary Value Problem with Non Stationary Boundary and Transmission Conditions for the Impulsive Linear Hyperbolic Equations hyperbolic equations ... Impulsive Hyperbolic Equations with Non Stationary Boundary and Transmission Conditions 1 Azerbaijan Technical University, AZ 1073, Baki, Azerbaijan 2 Institute of Mathematics and Mechanics of NAS ... mixed problem with non stationary boundary and transmission conditions for impulsive linear and semilinear hyperbolic equations 1.1 Statement of the Problem and Main Theorem Let H i , H i 0, X i ν...

Ngày tải lên: 21/06/2014, 11:20

... Regularly Varying Solutions of Second-Order Difference Equations with Arbitrary Sign Coefficient Serena Matucci1 and Pavel ˇ Reh ´ak2 1 Department of Electronics and Telecommunications, University of ... differential equations, see, for example, 2 also examine relations with the so-calledM-classification i.e., the classification of monotone solutions with respect to their limit behavior and the limit ... conditions holds (a) Δyk ≤ 0 and Δ2y k ≥ 0, or (b)Δy k ≥ 0 and Δ2y k ≤ 0, or (c) Δy k ≥ 0 and Δ2y k ≥ 0, then y ∈ NRV. v Let y ∈ RV Then lim k y k /k −ε  ∞ and lim k y k /k ε  0 for...

Ngày tải lên: 21/06/2014, 11:20

... BVPs of differential and difference equationshave been studied widely and there are many excellent resultssee Gai et al 1, Guo andTian2, Henderson and Peterson 3, and Yang et al 4 By ... Article Solutions and Green’s Functions for Boundary Value Problems of Second-Order Four-Point Functional Difference Equations Yang Shujie and Shi Bao Institute of Systems Science and Mathematics, ... theory,Deng and Shi5 studied the existence and multiplicity of the boundary value problems to aclass of second-order functional difference equations Lu n  fn, u n1, u n , u n−1 1.1with boundary...

Ngày tải lên: 21/06/2014, 11:20

... of integral equations and their relation with boundary-value problems, we refer to the book of Corduneanu22 and Agarwal and O’Regan 23.On the other hand, boundary-value problems with integral ... problems with integral boundary conditions of fourth-order impulsive differential equations: k represent the right-hand limit and left-hand limit of xt at t  tk , respectively, and g, h ∈ ... solutions y∗t and y∗∗t withwhich implies that3.30 holds ApplyingLemma 1.1 to 3.28, 3.29, and 3.30 yields that T has two fixed point y∗ and y∗∗with y∗∈ K l,ξ PC1< ξ }, and x∗∗∈ K ξ,L...

Ngày tải lên: 21/06/2014, 16:20

... Eigenvalues of Second-Order Difference Equations with General Coupled Boundary Conditions Chao Zhang and Shurong Sun School of Science, University of Jinan, Jinan, Shandong 250022, China Correspondence ... where C n , B n , and w n are d × d Hermitian matrices; C0 and C N are nonsingular; w n > 0 for n ∈ 1, N; R and S are 2d × 2d matrices Moreover, R and S satisfy rankR, S  2d and the self-adjoint ... 2005, Wang and Shi 4 considered 1.1 with the periodic and antiperiodic boundary conditions They found out the following results Trang 3see 4, Theorems 2.2 and 3.1 : the periodic and antiperiodic...

Ngày tải lên: 21/06/2014, 20:20

... Rational Difference Equations Sukanya Basu and Orlando Merino Department of Mathematics, University of Rhode Island, Kingston, RI 02881, USA Correspondence should be addressed to Orlando Merino,merino@math.uri.edu ... D1f x, y  0 if and only if y  qr/q−p, and D1f x, y > 0 if and only if p−q y > qr; ii D2f x, y  0 if and only if x  −r/p −q, and D2f x, y > 0 if and only if q −px ... 0 and p > q, b r < 0 and p < q, c r ≥ 0 and p < q, and d r < 0 and p > q. We present the proof of casea only, as the proof of the other cases is similar If r ≥ 0 and...

Ngày tải lên: 21/06/2014, 20:20

... of difference equations, specially, of difference equations with continuous variables In the recent years, the asymptotic behavior and other behavior of delay difference equations with continuous ... countable points s∈ J and at these points s ∈ J, ψs and ψs− exist, ψs  ψs ⎫ ⎪ ⎪, 2.5 whereJ ⊂ R is an interval, ψs and ψs− denote the right-hand and left-hand limits of the function ... difference equations with continuous variables By establishing an infinite delay difference inequality with impulsive initial conditions and using the properties of “-cone,” we obtain the attracting and...

Ngày tải lên: 21/06/2014, 20:20

... difference equations with several variable delays and variable coefficients Several known results, such as Clark’s asymptotic stability criterion, are generalized and extended to a new class of equations ... 1.1 and relevant nonlinear equations has been an intensively developed area during the last two decades Let us compare stability methods for delay differential equations and delay difference equations ... to equations with three terms in the right-hand side x n  1 − xn  −anxn − bnxhn − cnxg n. 2.12 For I  {1}, {1, 2, 3}, {1, 2} and {1, 3} we obtain Parts 1, 2, 3, and...

Ngày tải lên: 22/06/2014, 11:20

... (P ε ) exists and is unique and satisfies (2.1) uniformly for 0 ≤ k ≤ N, where y(0) k and y(j) k are the solutions of (2.2) and (2.4), respectively More precisely, for all n ≥ 0 and all 0 ≤ k ... exists and is unique, and satisfies y k(ε) = ∞  j =0 ε j y(j) uniformly for 0 ≤ k ≤ N, where y(0) k and y(j) k are the solutions of (2.2) and (2.4), respectively More precisely, for all n ≥ 0 and ... considered by Comstock and Hsiao [1] in the homogeneous case f k =0 form =1,n =1 The time-invariant case of problem (P ε) was considered by Naidu and Rao (see [12, Chapter 1]) and also by Krishnarayalu...

Ngày tải lên: 22/06/2014, 22:20

... Volterra difference equation with infi-nite delay See Kordonis and Philos [17], Kordonis et al [20], and Philos and Purnaras Hindawi Publishing Corporation Advances in Di fference Equations Volume 2006, ... given by Kordonis and Philos [19] for the special case of(non-neutral) integrodifferential equations with unbounded delay In [33], Philos andPurnaras continued the study in [19,21] and established ... solutions of linear neutral integrodifferential equations with unbounded de-lay, and, especially, of linear (non-neutral) integrodifferential equations with unboundeddelay Our purpose in this paper...

Ngày tải lên: 22/06/2014, 22:20

... theory for such equations (see [15] for discussion and references) 2 Preliminaries and notations Here we explain some notations and the phase space notion As usual, we denoteZ, Z + andZ−the set ... Weighted convergent and bounded solutions of Volterra di fference systems with infinite delay, Journal of Difference Equations and Applications 6 (2000), no 4, 461–480. [7] C Cuevas and L Del Campo, ... n → x n, andN(n0) denotes the set{ n ∈ N /n ≥ n0} The abstract phase spaces was introduced by Hale and Kato [13] for studying qualita-tive theory of functional differential equations with unbounded...

Ngày tải lên: 22/06/2014, 22:20

... nonoscillatory, and let x k be its recessive solution Denote by w k  r k ΦΔx k / x k and w k  r k ΦΔh k /h k the distinguished solutions of the Riccati equations 2.1 and 2.4, respectively, and ... for q ≥ 2 and concave for q ≤ 2, and this together with 2.21 implies the required inequalities 3 (Non-)oscillation criteria: In this section, we suppose that1.7 is nonoscillatory and possesses ... nonoscillatory byLemma 2.2 4 Criteria without restriction onp Throughout this section, we suppose that R k , C k , and G k are given by1.9 and 2.9, respec-tively, and that1.7 is nonoscillatory...

Ngày tải lên: 22/06/2014, 22:20