... simulta- neous equations, the literature published during the 1960s and 1970s concentrated heavily on the sampling distributions of estimators and test statistics in single structural equations ... unidentifiable. Note that the reduced-form equations take the form YI = =,r,, + 01. r, = .&II,, + v,, when II,, = 0. The first of these equations corresponds to (3.36) in the text ... corresponds to (3.36) in the text when /3 = 0. EXACT SMALL SAMPLE THEORY IN THE SIMULTANEOUS EQUATIONS MODEL 456 P. C. B. Phillips the weights being determined by the exogenous...
... Economic GrowthRelationship Using the SimultaneousEquations JEL Classification: F34, C32, H63List Of Keywords: Turkey, External Debt, Economic Growth Simultaneous Equations ERDAL KARAGOLUNIVERSITY ... were applied to the equations. The model includes five equations similarto Metwally and Tamaschke (1994) with a few different equations and exogenous variablesin their equations. Their results ... economicgrowth. Statistical methods for systems of simultaneousequations capture the mutualdependence among the variables in the model. Techniques in which equations areestimated one at a time are...
... method for nonlinear evolution equations Junkichi Satsuma 1711 Introduction 1712 Soliton solutions 1722.1 The Burgers equation 1722.2 The Korteweg-de Vries equation 1732.3 The nonlinear Schrăodinger ... bilinear method 2105.1 q-discrete equations 2105.2 Special function solution for soliton equations 2125.3 Ultra discrete soliton system 2155.4 Trilinear equations 218References 221Lie groups, ... singularities and solutionsof nonlinear partial differential equations Pavel Winternitz 2231 Introduction 2232 The symmetry group of a system of differential equations 2252.1 Formulation of...
... classes of nonlinear matrix equations (see [8-21]). In this study, we considerthe following problem: Find (X1, X2, ,Xm) ẻ (P(n))msolution to the following systemof nonlinear matrix equations: Xrii= ... solvingdifferent classes of systems of nonlinear matrix equations involving Lipshitzianmappings.2000 Mathematics Subject Classifications: 15A24; 65H05.Keywords: nonlinear matrix equations, Lipshitzian mappings, ... Positive defined solution of two kinds of nonlinear matrix equations. Surv Math Appl. 4,179–190 (2009)12. Hasanov, V: Positive definite solutions of the matrix equations X ± A*X-qA = Q. Linear Algebra...
... Difference Equations 2011, 2011:10http://www.advancesindifferenceequations.com/content/2011/1/10Page 9 of 13 RESEARC H Open AccessPositive solutions for a coupled system of nonlinear differential equations ... problems of nonlinear fractional differential equations. Commun Nonlinear Sci Numer Simul 2011, 16:2086-2097.20. Yu Y, Jiang D: Multiple Positive Solutions for the Boundary Value Problem of A Nonlinear ... system of nonlinear fractional differential equations. Appl Math Comput 2004, 150:611-621.25. Su X: Boundary value problem for a coupled system of nonlinear fractional differential equations. ...
... class of general nonlinear random multivalued operator equations involving generalized m-accretive mappings inBanach spaces and an iterative algorithm with errors for this nonlinear random multivaluedoperator ... multivaluedoperator equations. Inspired and motivated by recent works in these fields see 2, 13, 14, 18–29,inthispaper, we introduce and study a class of general nonlinear random equations with ... of nonlinear variationalinclusions involving generalized m-accretive mappings,” Nonlinear Analysis Forum, vol. 9, no. 1, pp.33–42, 2004.15 H Y. Lan, Z Q. He, and J. Li, “Generalized nonlinear...
... CorporationAdvances in Difference Equations Volume 2010, Article ID 357404, 12 pagesdoi:10.1155/2010/357404Research ArticleExponential Decay of Energy for Some Nonlinear Hyperbolic Equations with Strong ... Differential Equations, vol. 35, no. 2, pp. 200–231, 1980.2 G. Andrews and J. M. Ball, “Asymptotic behaviour and changes of phase in one-dimensional nonlinear viscoelasticity,” Journal of Differential Equations, ... damped wave equations, ” Mathematical Methods in the Applied Sciences, vol. 26, no. 12, pp. 1047–1066, 2003.11 L. Yacheng and Z. Junsheng, “Multidimensional viscoelasticity equations with nonlinear...
... second orderdifferential equations, ” Journal of Differential Equations, vol. 82, no. 1, pp. 15–27, 1989.9 W T. Li, “Oscillation of certain second-order nonlinear differential equations, ” Journal ... CorporationAdvances in Difference Equations Volume 2010, Article ID 470375, 19 pagesdoi:10.1155/2010/470375Research ArticleExistence of Homoclinic Solutions for a Class of Nonlinear Difference Equations Peng ... 649–661, 2006.12 M. Ma and Z. Guo, “Homoclinic orbits and subharmonics for nonlinear second order difference equations, ” Nonlinear Analysis: Theory, Methods & Applications, vol. 67, no. 6, pp....
... of nonlinear evolution equations in Banach spaces,” Canadian Journal ofMathematics, vol. 23, pp. 189–196, 1971.28 H. Amann, “Periodic solutions of semilinear parabolic equations, ” in Nonlinear ... Methods in the Theory of Nonlinear Integral Equations, Pergamon Press,New York, NY, USA, 1964.8 G. M. Lieberman, “Time-periodic solutions of quasilinear parabolic differential equations. I. Dirichletboundary ... thebeginning of the eighties for the study of nonlinear partial differential equations see 2.Inthat case a great generality is allowed in the formulation of the nonlinear equation. Considerfor instance,...
... and quantum mechanics can be described by doubly nonlinear problems.The literature on the subject of local in time doubly nonlinear evolution equations israther wide. Among these contributions, ... Rothe method, the author in [2] studied a nonlinear degenerate parabolicequation with a second-order differential Volterra operator. In [3] the solutions of nonlinear and degenerate problems were ... degenerate problems were investigated. In general, existence of solutions for a class of nonlinear evolution equations of second order is proved by studying a full discretization.The article is...
... for Boltzmann equations: global existence andweak stability,” Annals of Mathematics, vol. 130, no. 2, pp. 321–366, 1989.10 A. Porretta, “Existence results for nonlinear parabolic equations via ... elliptic-parabolicproblems,” Journal of Differential Equations, vol. 156, no. 1, pp. 93–121, 1999.13 E. Zeidler, Nonlinear Functional Analysis and Its Applications. Part 2B: Nonlinear Monotone Operators,Springer, ... Netherlands, 1986.7 W. X. Shen and S. M. Zheng, “Nonlocal initial-boundary value problems for nonlinear parabolic equations, ” Journal of Fudan University. Natural Science, vol. 24, no. 1, pp. 47–57, 1985...
... Hamilton-Jacobi equations to nonlinear parabolic equations, then by using Perron’s method to study the existence and uniqueness of time almostperiodic viscosity solutions of nonlinear parabolic equations ... “Uniqueness of viscosity solutions of fully nonlinear second order parabolic equations with discontinuous time-dependence,” Differential and Integral Equations, vol. 3, no. 1, pp. 77–91, 1990.4 ... “Existence and uniqueness of unbounded viscosity solutions of parabolic equations with discontinuous time-dependence,” Nonlinear Analysis: Theory, Methods & Applications, vol. 18, no.11,...