math substitution system of equations

... 1. Graphic solution of pairs of equations The solutions of pairs of equations can be depicted by graphs. Solutions appear as intersection points between the graphs of the equations in question. Example ... the set of equations is in fact a pair of equations in terms of a single variable, and the following steps are irrelevant.) Sequence A: First, solve the first equation for x in terms of y: axϩ ... xiii Acknowledgments I extend thanks to Dr. Emma Previato, Professor of Mathematics and Statistics at Boston University, for her help in proofreading the pure mathematics sections. Illustrations were generated...

Ngày tải lên: 31/03/2014, 16:19

... r of solutions of the system of difference equations x n+1 = a + x n b + y n , y n+1 = c + y n d + z n , z n+1 = e + z n f + x n . In [8], Özban studied the positive solutions of the system of ... stability of a second-order system of difference equations. Discrete Dyn Nat Soc 2008, 12 (2008). (Article ID 860152) 11. Irićanin, B, Stević, S: Some systems of nonlinear difference equations of higher ... class of difference equations systems. Demonstratio Mathematica. 41(1), :109–122 (2008) 32. Elsayed, EM: On the solutions of a rational system of difference equations. Fasciculi Mathematici. 45,25–36...

Ngày tải lên: 20/06/2014, 22:20

... nonnegative numbers. System (1) was mentioned in [1] as one of three systems of Open Problem 3, which asked for a description of the global dynamics of some rational systems of difference equations. In ... then the interior of 〚u 1 ,u 2 〛 is either a subset of the basin of attraction of u 1 or a subset of the basin of attraction of u 2 . Kalabušić et al. Advances in Difference Equations 2011, 2011:29 http://www.advancesindifferenceequations.com/content/2011/1/29 Page ... inequality 1.i) of Lemma 1, then the proof of Theorem is similar to the proof of parts (ℛ 9 )and(ℛ 10 ). This completes the proof of Theorem in the regions ℛ 12 , ℛ 13 .Thisisanexampleof semistable...

Ngày tải lên: 21/06/2014, 00:20

... stasys. rutkauskas@mii.vu.lt Institute of Mathematics and Informatics of Vilnius University, Akademijos str. 4, LT-08863, Vilnius, Lithuania Abstract A system of elliptic equations which are irregularly ... uniqueness of the solutions are obtained. Keywords: systems of elliptic equations, degenerate elliptic equations, boundary value problems, Dirichlet type problem 1 Introduction and statement of the ... class of elliptic systems degenerating at an inner point. Math Model Anal. 6(1), 147–155 (2001) 6. Rutkauskas, S: On the Dirichlet problem for a system of degenerate at a point elliptic equations...

Ngày tải lên: 21/06/2014, 00:20

... decay of solutions for a quaslinear system of viscoelastic equations. Nonlinear Anal. 71, 2257–2267 (2009). doi:10.1016/j.na.2009.01.060 22. Agre, K, Rammaha, MA: Systems of nonlinear wave equations ... Said-Houari, B: Global nonexistence of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms. J. Math. Anal. Appl. 365, 277–287 (2010). ... Simulation of Large Scale Complex Systems, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, PR China Full list of author information is available at the end of the article Abstract In...

Ngày tải lên: 21/06/2014, 00:20

... coupled system of nonlinear fractional differential equations. Appl Math Lett 2009, 22:64-69. 26. Gejji VD: Positive solutions of a system of nonlinear fractional differential equations. J Math Anal ... of author information is available at the end of the article Abstract In this article, we study the existence of positive solutions for a coupled system of nonlinear differential equ ations of ... existence of positive solutions for boundary value problems of non-linear fractional differential equations. Proceedings of the 7th Conference on Biological Dynamic System and Stability of Differential Equation...

Ngày tải lên: 21/06/2014, 03:20

... argument θ of the complex root is a rational multiple of π, the system is globally periodic. 4.4. Stability of Fixed Points We finish this section with the complete study of the stability of the fixed ... some of those systems can be reduced to some Ricatti equations or to some previously studied second-order rational equations. Further, since, for some choices of the parameters, one obtains a system which ... attention on three aspects of the dynamics of the system: the boundedness character and asymptotic behavior of its solutions, the existence of periodic orbits in particular, of prime period-two solutions,...

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Ngày tải lên: 08/08/2014, 12:22

... analyzing the vibration of propulsion system of ship. It includes three type of vibration as longitudinal vibration, tranversal vibration and torsional vibration. Among of them, torsional vibration ... Analyzing vibration of propulsion system often carry out in the modeling system. The numerical method is used to solve in this paper is finite element method. The result of this paper verifies ... method. The result of this paper verifies this method with the ship of 350HP. Keywords: vibration of propulsion system of ship, ship vibration * Nghiên cứu này trình bày các kết quả của...

Ngày tải lên: 09/04/2013, 12:58

... and a host of other factors beyond the control of AAPA airlines, all of its members posted a massive, collective loss of US$843.8 million in the 1997-1998 financial year. In view of financial ... report of AAPA traffic in 1998, which provides an overview of operating result of all AAPA members in 1998. 30 Tables of Contents Tittle page ……………………………………………………………………………………….i 1.1 Rationale of ... Passenger Transport Projection 60 Table 4.12: Number of Personnel as of May 1999 61 Table 4.13: Level of education of Vietnam Airlines employees (as of May 1999) 61 Table 4.14: Vietnam Airlines Resources...

Ngày tải lên: 13/04/2013, 10:33

... America). Chapter 9. Root Finding and Nonlinear Sets of Equations 9.0 Introduction We now consider that most basic of tasks, solving equations numerically. While most equations are born with both a right-hand ... are the individual equations to be satisfied simultaneously. Don’t be fooled by the apparent notational similarity of equations (9.0.2) and (9.0.1). Simultaneous solution of equations in N dimensions ... (in this context) gives us the hope of satisfying N equations in N unknowns simultaneously. Note that we have only hope, not certainty. A nonlinear set of equations may have no (real) solutions...

Ngày tải lên: 07/11/2013, 19:15