... uniqueness of the solutions are obtained.Keywords: systems of elliptic equations, degenerate elliptic equations, boundaryvalue problems, Dirichlet type problem1 Introduction and statement of the ... stasys.rutkauskas@mii.vu.ltInstitute of Mathematics andInformatics of Vilnius University,Akademijos str. 4, LT-08863, Vilnius,LithuaniaAbstractA systemof elliptic equations which are irregularly ... 2011:16http://www.boundaryvalueproblems.com/content/2011/1/16Page 5 of 11RESEARC H Open AccessOn the solvability conditions of the firstboundary value problem for a systemof elliptic equations that strongly degenerate at...
... argument θ of the complex root is a rational multiple of π, the system is globally periodic.4.4. Stability of Fixed PointsWe finish this section with the complete study of the stability of the fixed ... some of thosesystems can be reduced to some Ricatti equations or to some previously studied second-orderrational 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,...
... r of solutions of the systemof difference equations xn+1=a + xnb +yn, yn+1=c + ynd + zn, zn+1=e + znf+ xn.In [8], Özban studied the positive solutions of the systemof ... behavior of a three-dimensional linear fractional systemof difference equations. JMath Anal Appl. 310, 673–689 (2005)8. Özban, AY: On the positive solutions of the systemof rational difference equations xn+1=1yn−k,yn+1=ynxn−myn−m−k.. ... stability of a second-order systemof difference equations. Discrete Dyn Nat Soc2008, 12 (2008). (Article ID 860152)11. Irićanin, B, Stević, S: Some systems of nonlinear difference equationsof higher...
... nonnegative numbers. System (1) was mentioned in [1] as one of three systems of Open Problem 3, whichasked for a description of the global dynamics of some rational systems of difference equations. In ... then the interior of 〚u1,u2〛is either a subset of the basin of attraction of u1or a subset of the basin of attraction of u2.Kalabušić et al. Advances in Difference Equations 2011, 2011:29http://www.advancesindifferenceequations.com/content/2011/1/29Page ... inequality 1.i) of Lemma 1, then the proof of Theorem is similar to the proof of parts (ℛ9)and(ℛ10).This completes the proof of Theorem in the regions ℛ12, ℛ13.Thisisanexampleofsemistable...
... decay of solutions for a quaslinear systemof viscoelastic equations. Nonlinear Anal. 71, 2257–2267(2009). doi:10.1016/j.na.2009.01.06022. 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 ofsystem (1.1) by u and the second equation ofsystem (1.1)by v, integrating over ... doi:10.1016/j.na.2009.04.03120. Messaoudi, SA, Said-Houari, B: Global nonexistence of positive initial-energy solutions of a systemof nonlinearviscoelastic wave equations with damping and source terms. J. Math. Anal....
... Difference Equations 2011, 2011:10http://www.advancesindifferenceequations.com/content/2011/1/10Page 9 of 13RESEARC H Open AccessPositive solutions for a coupled system of nonlinear differential equations ... of author information isavailable at the end of the articleAbstractIn this article, we study the existence of positive solutions for a coupled system of nonlinear differential equ ations of ... coupled systemof nonlinear fractional differential equations. Appl Math Lett2009,22:64-69.26. Gejji VD: Positive solutions of a systemof nonlinear fractional differential equations. J Math...
... solutions of theinteger-order equations are found to follow as special cases of those of fractional-order equations. We consider the systemof fractional-order equationsof the formDαiyit ... pYi,1−L−1i∞n0ai,nPnt.3.10Equating the coefficients of like powers of p, we get the following set of equations: coefficient of p0: Y0 L−1∞n0ai,nPnt,coefficient of p1: Y1 L−1ifi ... various kinds of nonlinear equations. The new homotopy perturbation method NHPM was applied to linearand nonlinear ODEs 17.In this paper, we construct the solution ofsystemof fractional-order...
... analyzing the vibration of propulsion systemof 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 systemof ship, ship vibration * Nghiờn cu ny trỡnh by cỏc kt qu ca ti cp...
... and a host of other factorsbeyond 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 1998.30Tables of Contents Tittle page ……………………………………………………………………………………….i1.1 Rationale of ... Passenger Transport Projection 60Table 4.12: Number of Personnel as of May 1999 61Table 4.13: Level of education of Vietnam Airlines employees (as of May 1999) 61Table 4.14: Vietnam Airlines Resources...
... case of limited information and full information maximum likelihood (LIML, FIML), these estimators are determined as implicit functions of the sample moments of the data through a systemof ... where 3 is the space of definition of b. The simplicity of the representation (2.8) often belies *the major analytic difficulties that are involved in the practical execution of this step.4 These ... 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...