linear difference equations pdf
Báo cáo hóa học: "Research Article Asymptotic Representation of the Solutions of Linear Volterra Difference Equations" pdf
... in Difference Equations Volume 2008, Article ID 932831, 22 pagesdoi:10.1155/2008/932831Research ArticleAsymptotic Representation of the Solutions of Linear Volterra Difference Equations Istv´an ... equivalence for difference equations withinfinite delay,” Journal of Difference Equations and Applications, vol. 5, no. 1, pp. 1–23, 1999.14 S. Elaydi, “Asymptotics for linear difference equations. II. ... jczh∞−hn.5.3122 Advances in Difference Equations 10 S. Bodine and D. A. Lutz, “Asymptotic solutions and error estimates for linear systems of differenceand differential equations, ” Journal of Mathematical...
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báo cáo hóa học:" Research Article Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case" pot
... in Difference Equations Volume 2010, Article ID 594783, 19 pagesdoi:10.1155/2010/594783Research ArticleError Bounds for Asymptotic Solutions ofSecond-Order Linear Difference Equations II:The ... weconsider a nonlinear first-order difference equation.2 Advances in Difference Equations Unlike t he method used by Olver 4 to treat asymptotic solutions of second-order linear differential equations, ... second-order linear difference equation; itssolution takes the form of a particular solution added to an arbitrary linear combination ofsolutions to the associated homogeneous linear difference...
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Báo cáo hoa học: " Research Article Summation Characterization of the Recessive Solution for Half-Linear Difference Equations" doc
... Difference Equations 18 O. Doˇsl´y and S. Fiˇsnarov´a, “Linearized Riccati technique and non-oscillation criteria for half -linear difference equations, ” Advances in Difference Equations, ... half -linear second order difference equations, ” Journalof Difference Equations and Applications, vol. 9, no. 1, pp. 49–61, 2003.8 M. Cecchi, Z. Doˇsl´a, and M. Marini, “Nonoscillatory half -linear ... of solutions ofhalf -linear difference equations, ” submitted.10 M. Cecchi, Z. Doˇsl´a, M. Marini, and I. Vrkoˇc, “Asymptotic properties for half -linear difference equations, ” Mathematica...
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Báo cáo hóa học: " Research Article Existence of Periodic and Subharmonic Solutions for Second-Order p-Laplacian Difference Equations" pdf
... Difference Equations Volume 2007, Article ID 42530, 9 pagesdoi:10.1155/2007/42530Research ArticleExistence of Periodic and Subharmonic Solutions forSecond-Order p-Laplacian Difference Equations Peng ... linking theorem.2AdvancesinDifference Equations Equations similar in structure to (1.3) arise in the study of the existence of solitary wavesof lattice differential equations, see [1] and the references ... JournalofDynamicsandDifferential Equations, vol.16,no.2,pp.575–586, 2004.[8] P. H. Rabinowitz, Minimax Methods in Crit ical Point Theory with Applications to Di fferential Equations, vol. 65 of CBMS...
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Báo cáo hóa học: " Research Article Asymptotic Expansions for Higher-Order Scalar Difference Equations" pdf
... of nonlinear difference equations In this section, as an application of our previous results on Poincar´edifference equations, we establish an asymptotic expansion of the solutions of nonlinear ... CorporationAdvances in Difference Equations Volume 2007, Article ID 67492, 12 pagesdoi:10.1155/2007/67492Research ArticleAsymptotic Expansions for Higher-Order Scalar Difference Equations Ravi P. Agarwal ... behavior of the solutions of higher-order nonlinear difference equations in a neighborhood of an equilibrium. In the spe-cific case of rational difference equations, this problem has been studied in...
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Báo cáo hóa học: "PERTURBATION METHOD FOR LINEAR DIFFERENCE EQUATIONS WITH SMALL PARAMETERS" pot
... & Methods 3 (1982), no. 2, 121–131.[15] T. Sari and T. Zerizer, Perturbations for linear difference equations, Journal of Mathematical Anal-ysis and Applications 305 (2005), no. 1, 43–52.Tahia ... difference equations, The Rocky Moun-tain Journal of Mathematics 6 (1976), no. 4, 561–567.[2] P. W. Eloe, Maximum principles for a family of nonlocal boundary value problems,AdvancesinDifference Equations ... equating the coefficients atthesamepowersofε, a set of equations is obtained. For the zeroth-order asymptoticapproximation, the resulting equations are given byy(0)k= αk, k = 0,1, ,n − 1,an,ky(0)k+n+...
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Tài liệu Solution of Linear Algebraic Equations part 3 pdf
... 42Chapter 2. Solution of Linear Algebraic Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN ... Program B-2, p. 298.Westlake, J.R. 1968,A Handbook of Numerical Matrix Inversion and Solution of Linear Equations (New York: Wiley).Ralston, A., and Rabinowitz, P. 1978,A First Course in Numerical ... containing one subtraction andone multiplication, are executed N3and N2M times (where there are N equations and M unknowns). The corresponding loops in Gaussian elimination are executedonly13N3times...
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Tài liệu Solution of Linear Algebraic Equations part 12 pdf
... 104Chapter 2. Solution of Linear Algebraic Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN ... inversion!This is fun, but let’s look at practicalities: If you estimate how large N has to bebefore the difference between exponent 3 and exponent log27=2.807 is substantialenough to outweigh the bookkeeping ... 1987,Algorithms: Their Complexity and Efficiency, 2nd ed. (New York: Wiley).Winograd, S. 1971, Linear Algebra and Its Applications, vol. 4, pp. 381–388.Pan, V. Ya. 1980,SIAM Journal on Computing,...
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Tài liệu 02 Ordinary Linear Differential and Difference Equations docx
... differential equations can be found in numerous texts onthe subject [1].2.2 Difference Equations Thedevelopmentofdifferenceequationsisparalleltothatofdifferentialequations. Weconsiderhereonly linear difference ... LLC2Ordinary Linear Differentialand Difference Equations B.P. LathiCalifornia State University, Sacramento2.1 Differential Equations Classical Solution•MethodofConvolution2.2 Difference Equations Initial ... concerning the classical method for solving differential equations alsoapply to difference equations. General discussion of difference equations can be found in texts onthe subject [2].References[1]...
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Tài liệu Đề tài " Isomonodromy transformations of linear systems of difference equations" pptx
... transformations of linear systems of difference equations By Alexei Borodin ISOMONODROMY TRANSFORMATIONS1147probability can be expressed through a solution of the difference Schlesinger equations ... the difference Schlesinger equations (3.1)–(3.3) with the initial conditions {Bi(0) = Bi}, and let Bi(x1, ,xn)bethesolution of the classical Schlesinger equations (5.4) with the initial ... of this conjecture, we explicitly show that the differenceSchlesinger equations converge to the conventional Schlesinger equations inthe limit ε → 0.Note that the monodromy representation of...
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Báo cáo hóa học: " Difference inequality for stability of impulsive difference equations with distributed delays" pdf
... ConclusionIn this paper, we consider a class of impulsive difference equations with distributeddelays. By establishing an impulsive delay difference inequality and using the propertiesof “r-cone” ... vol.157,American Mathematical Society, Providence, RI (1996)2. Xu, DY: Asymptotic behavior of nonlinear difference equations with delays. Comput Math Appl. 42, 393–398 (2001).doi:10.1016/S0898-1221(01)00164-XLi ... impulsive delay difference equation. Appl Math Comput. 181,65–72 (2006). doi:10.1016/j.amc.2006.01.0159. Zhu, W: Invariant and attracting sets of impulsive delay difference equations with continuous...
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báo cáo hóa học:" Research Article A Linear Difference Scheme for Dissipative Symmetric Regularized Long Wave Equations with Damping Term" doc
... 781750, 16 pagesdoi:10.1155/2010/781750Research ArticleA Linear Difference Scheme for DissipativeSymmetric Regularized Long Wave Equations withDamping TermJinsong Hu,1Youcai Xu,2and ... initial-boundary problem of dissipative symmetric regularized long wave equations with damping term by finite difference method. A linear three-level implicit finite differencescheme is designed. Existence ... Benjamin-Bona-Mahony equations, ” Journal ofMathematical Analysis and Applications, vol. 141, no. 2, pp. 527–537, 1989.3 C. J. Amick, J. L. Bona, and M. E. Schonbek, “Decay of solutions of some nonlinear...
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Báo cáo hóa học: "Research Article Stability of Equilibrium Points of Fractional Difference Equations with Stochastic Perturbations" pdf
... stochastic linear difference equations, ” Applied Mathematics Letters, vol. 10, no. 3, pp. 111–115, 1997.47 B. Paternoster and L. Shaikhet, “About stability of nonlinear stochastic difference equations, ” ... CorporationAdvances in Difference Equations Volume 2008, Article ID 718408, 21 pagesdoi:10.1155/2008/718408Research ArticleStability of Equilibrium Points of Fractional Difference Equations with Stochastic ... very large interest in studying the behavior of solutions of nonlineardifference equations, in particular, fractional difference equations 1–38. This interest reallyis so large that a necessity...
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Báo cáo hóa học: " Research Article Reducibility and Stability Results for Linear System of Difference Equations" potx
... solutions of nonlinear second-order difference equations, ”Advances in Difference Equations, vol. 2005, no. 2, pp. 173–192, 2005.3 S. N. Elaydi, An Introduction to Difference Equations, Undergraduate ... CorporationAdvances in Difference Equations Volume 2008, Article ID 867635, 6 pagesdoi:10.1155/2008/867635Research ArticleReducibility and Stability Results for Linear System of Difference Equations Aydin Tiryaki1and ... well.3. Stability of linear systemsIt turns out that to obtain a stability result, one needs take Sn, a periodic matrix 2. Indeed,this allows using the Floquet theory for linear periodic system...
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