system of equations substitution method examples

... 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   ... 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 ... 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  ...

Ngày tải lên: 21/06/2014, 05:20

... 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 this method ... 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 ... CHÍNH TÀU THỦY BẰNG PHƯƠNG PHÁP PHẦN TỬ HỮU HẠN * VIBRATION ANALYSIS OF PROPULSION SYSTEM OF SHIP BY FINITE ELEMENT METHOD Trần Văn Tạo † , Lê Đình Tuân, Lê Hoàng Chân Khoa Kỹ thuật...

Ngày tải lên: 09/04/2013, 12:58

... ceases to be capable of exercising its functions. The regularity of the action of the brain and the sanity and completeness of the thought which is one of the functions of its activity depend ... hypnotism very common Examples of Neuropathic deceit Detecting simulation Professional subjects How Dr. Luys of the Charity Hospital at Paris was deceived Impossibility of detecting deception ... Electricity is a form of vibration, and according to the belief of many scientists, life is a species of vibration so high that we have no possible means of measuring it. As every student of science knows,...

Ngày tải lên: 29/03/2014, 12:20

... 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 ... 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

... 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

... 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 ... solutions for a system of nonlinear Klein-Gordon equations. Ann. Mat. Pura Appl. 146, 173–183 (1987) 18. Zhang, J: On the standing wave in coupled non-linear Klein-Gordon equations. Math. Methods Appl....

Ngày tải lên: 21/06/2014, 00:20

... JJ: Differential equations of fractional order: methods, results and problem. I Appl Anal 2001, 78:153-192. 6. Kilbas AA, Trujillo JJ: Differential equations of fractional order: methods, results ... 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...

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,...

Ngày tải lên: 21/06/2014, 05:20

... extragradient method for finding a common element of the solution set of a variational inequality problem, the solution set of a general system of variational inequalities, and the fixed-point set of a ... viscosity approximation method, Yao et al. 30 proposed and analyzed an iterative algorithm for finding a common element of the solution set of the general system 1.3 of variational inequalities ... Hilbert space. Our hybrid method is based on the well-known extragradient method, viscosity approximation method, and Mann-type iteration method. By constrasting with other methods, our hybrid approach...

Ngày tải lên: 21/06/2014, 07:20

... the reducibility of linear system of difference equations of the form xn  1Anxn. Next, by the means of Floquet theory, we obtain some stability results. Moreover, some examples are given ... reducibility of 1.1 into the form of 1.5 and then obtain asymptotic stability of the zero solution of 1.1. 2. Reducible systems In this section, we give a theorem on the structure of the matrix ... “Stability of a delay difference system, ” Advances in Difference Equations, vol. 2006, Article ID 31409, 9 pages, 2006. 5 V. Lakshmikantham and D. Trigiante, Theory of Difference Equations: Numerical Methods...

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