system of simultaneous equations example

Ngày tải lên: 22/06/2014, 19:20

... 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 ... 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 ... 2011:16 http://www.boundaryvalueproblems.com/content/2011/1/16 Page 5 of 11 RESEARC H Open Access On the solvability conditions of the first boundary value problem for a system of elliptic equations that strongly degenerate at...

Ngày tải lên: 21/06/2014, 00:20

... 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,...

Ngày tải lên: 21/06/2014, 05:20

Ngày tải lên: 22/06/2014, 11:20

... 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 ... behavior of a three-dimensional linear fractional system of difference equations. J Math Anal Appl. 310, 673–689 (2005) 8. Özban, AY: On the positive solutions of the system of rational difference equations x n+1 = 1 y n−k , y n+1 = y n x n−m y n−m−k . . ... 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...

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 ... 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 ... 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...

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 ... p. Next we want to derive the decay rate of energy function for problem (1.1). By mul- tiplying the first equation of system (1.1) by u and the second equation of system (1.1) by v, integrating over ... doi:10.1016/j.na.2009.04.031 20. Messaoudi, SA, 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....

Ngày tải lên: 21/06/2014, 00:20

... Difference Equations 2011, 2011:10 http://www.advancesindifferenceequations.com/content/2011/1/10 Page 9 of 13 RESEARC H Open Access Positive solutions for a coupled system of nonlinear differential equations ... 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 ... 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...

Ngày tải lên: 21/06/2014, 03:20

... solutions of the integer-order equations are found to follow as special cases of those of fractional-order equations. We consider the system of fractional-order equations of the form D α i y i  t   ... pY i,1  −L −1 i  ∞  n0 a i,n P n  t   . 3.10 Equating the coefficients of like powers of p, we get the following set of equations: coefficient of p 0 : Y 0  L −1  ∞  n0 a i,n P n  t   , coefficient of p 1 : Y 1  L −1 i  f i   ... various kinds of nonlinear equations. The new homotopy perturbation method NHPM was applied to linear and nonlinear ODEs 17. In this paper, we construct the solution of system of fractional-order...

Ngày tải lên: 21/06/2014, 05:20

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Ngày tải lên: 22/06/2014, 22:20

... 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 * Nghiờn cu ny trỡnh by cỏc kt qu ca ti cp...

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...

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Ngày tải lên: 25/12/2013, 20:21

Ngày tải lên: 25/12/2013, 20:21

... these estimators are determined as implicit functions of the sample moments of the data through a system of implicit equations. In all of these cases, we can proceed to write OT = O,( y, x) ... values of j and are reported in James (1964). These can be conveniently expressed in terms of the elementary symmetric functions of the latent roots of S [Constantine (1963)] or in terms of the ... (1969)] it follows that the tails of the distribution of +ZsLs will be thicker than those of +LIMr_. We notice that this feature of the finite sample distributions of the two statistics is consonant...

Ngày tải lên: 25/01/2014, 07:20