vector calculus generalized transport equations

Tài liệu Transport Equations and Multi-D Hyperbolic Conservation Laws pdf

Ngày tải lên : 17/02/2014, 17:20

... in extending the so-called DiPerna–Lions theory for transport equations to the BV setting More precisely, consider the Cauchy problem for a transport equation with variable coefﬁcients ⎧ ⎨ ∂t ... Ordinary differential equations, transport theory and Sobolev spaces Invent Math 98 (1989), 511–517 17 L ASIECKA , I.; T RIGGIANI , R Global exact controllability of semilinear wave equations by a double ... I An analogous remark applies for solutions of the transport equation There are some other important links between the two equations: (1) The transport equation reduces to the continuity equation...

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vector calculus - theodore voronov

Ngày tải lên : 31/03/2014, 15:42

... = {vectors} Operations with vectors: multiplication by a number, addition Operations with points and vectors: adding a vector to a point (giving a point), subtracting two points (giving a vector) ... velocity vector x(t) m to the velocity vector of the curve F (x(t)) in R : d F (x(t)) ˙ = dF (x(t))(x(t)) dt 12 (27) VECTOR CALCULUS Fall 2002 Proof By the deﬁnition of the velocity vector, ˙ ... respective coordinates of the vector r: x = (x1 , , xn ) and r = (x1 , , xn ) The vector r such as in the example is called the position vector or the radius -vector of the point x (Or, in...

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colley vector calculus 4th

Ngày tải lên : 22/05/2014, 23:26

... intentionally left blank Vector Calculus This page intentionally left blank Vectors 1.1 Vectors in Two and Three Dimensions 1.1 Vectors in Two and Three Dimensions 1.2 More About Vectors 1.3 The Dot ... Give vectors F1 and F2 that describe the forces along the ropes More About Vectors The Standard Basis Vectors In R2 , the vectors i = (1, 0) and j = (0, 1) play a special notational role Any vector ... l (i.e., the position − → vector of P(x, y, z)) O P is the vector sum of the position vector b of the given −→ − point P0 (i.e., O P0 ) and a vector parallel to a Any vector parallel to a must...

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Báo cáo sinh học: "A generalized estimating equations approach to quantitative trait locus detection of non-normal traits" doc

Ngày tải lên : 14/08/2014, 13:22

... assumptions about means, variances and covariance structures This approach, known as generalized estimating equations (GEEs) was pioneered in the human epidemiology and biostatistics ﬁeld [23,31], ... detection of non-normal traits observed data set as a vector y = (y1 , y2 , , yn ) where yj = (y1j , y2j , y3j , y4j ) The conditional mean vector is: E (Y|u, Q) = exp (Xβ + Zu + ZQγ) where u ... is not fully parametric, maximum likelihood cannot be used, and we consequently use a generalized estimating equations (GEE) approach [4,11,21,23,27] in which the quasi-likelihood takes the place...

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Effects of misspecification in the approach of generalized estimating equations for analysis of clustered data

Ngày tải lên : 05/10/2015, 13:53

... CHAPTER GENERALIZED ESTIMATING EQUATIONS 16 Generalized Estimating Equations (GEE), the prime subject in my thesis, are traditionally presented as an extension to the standard array of Generalized ... thesis: Generalized Estimating Equation method will be presented in detail, and some statistician’s works on GEE method will also be reviewed CHAPTER GENERALIZED ESTIMATING EQUATIONS Chapter Generalized ... 1.3 Random-effect models Generalized Estimating Equations 2.1 Introduction 2.1.1 Generalized Linear Models(GLM) 2.1.2...

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Infeasibility and efficiency of working correlation matrix in generalized estimating equations

Ngày tải lên : 22/10/2015, 22:37

... structure 1.3 Generalized Estimating Equations In a seminal paper in 1986, Liang & Zeger (1986) introduced Generalized Estimating Equations (GEE) that extends upon the work of Generalized Linear ... this thesis 1.2 Preliminaries 1.3 Generalized Estimating Equations 1.4 Estimation of α using the moment method ... correlated binary data, True EXC Working AR(1) 61 Summary Generalized estimating equations (GEEs) have been used extensively in the analysis of clustered and longitudinal...

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Báo cáo khoa học: "A Generalized Vector Space Model for Text Retrieval Based on Semantic Relatedness" pot

Ngày tải lên : 08/03/2014, 21:20

... for each term ti there exists a vector ti in the vector space that represents it It then considers the set of all term vectors {ti } to be the generating set of the vector space, thus the space ... combination of the term vectors {ti } which represents each dk in the vector space Similarly, any query q can be modelled as a vector q that is a linear combination of the term vectors In the standard ... and tj are now term vectors in a 2n dimensional vector space, dk , q are the document and the query It is known from Linear Algebra that if every pair of vectors in a set of vectors is orthogonal,...

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generalized difference methods for differential equations - r. li, z. chen, w. wu

Ngày tải lên : 31/03/2014, 15:56

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Báo cáo hóa học: " Research Article Existence Result of Generalized Vector Quasiequilibrium Problems in Locally G-Convex Spaces" potx

Ngày tải lên : 21/06/2014, 05:20

... several known problems, for instance, vector variational and variational-like inequality problems, vector complementarity problem, vector optimization problem, and vector saddle point problem; see, ... the following generalized a vector quasiequilibrium problem for short, GVQEP : to find x ∈ K such that ⊂ x ∈ A x : F x, y / − int C ∀y ∈ A x 1.6 Very recently, the generalized strong vector quasiequilibrium ... introduce and study the generalized vector quasiequilibrium problem on locally G-convex Hausdorff topological vector spaces Let X, Y , and Z be real locally Gconvex Hausdorff topological vector spaces,...

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Báo cáo hóa học: " Research Article On the Existence Result for System of Generalized Strong Vector Quasiequilibrium Problems Somyot Plubtieng and Kanokwan Sitthithakerngkiet" doc

Ngày tải lên : 21/06/2014, 07:20

... solutions for the system of generalized strong vector quasiequilibrium problem Moreover, we also prove the closedness of strong solution set for the system of generalized strong vector quasiequilibrium ... J.-Y Fu, Generalized vector quasiequilibrium problems,” Mathematical Methods of Operations Research, vol 52, no 1, pp 57–64, 2000 F Giannessi, Vector Variational Inequilities and Vector Equilibria, ... Yao, “The system of generalized vector equilibrium problems with applications,” Journal of Global Optimization, vol 22, no 1–4, pp 3–16, 2002 23 L.-J Lin, “System of generalized vector quasiequilibrium...

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Báo cáo hóa học: " Research Article A Generalized Nonlinear Random Equations with Random Fuzzy Mappings in Uniformly Smooth Banach Spaces" potx

Ngày tải lên : 21/06/2014, 07:20

... multivalued operator equations involving generalized m-accretive mappings in Banach spaces and an iterative algorithm with errors for this nonlinear random multivalued operator equations Inspired ... mapping We prove the existence and convergence theorems of the generalized random iterative algorithm for this nonlinear random equations with random fuzzy mappings in q-uniformly smooth Banach ... section, we prove the existence and convergence theorems of the generalized random iterative algorithm for this nonlinear random equations with random fuzzy mappings in quniformly smooth Banach...

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báo cáo hóa học:" Research Article Fractional-Order Variational Calculus with Generalized Boundary Conditions" doc

Ngày tải lên : 21/06/2014, 11:20

... necessary facilities Advances in Difference Equations References K S Miller and B Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, A Wiley-Interscience Publication, ... “Fractional variational calculus and the transversality conditions,” Journal of Physics A, vol 39, no 33, pp 10375–10384, 2006 14 O P Agrawal, Generalized Euler-Lagrange equations and transversality ... results 8 Advances in Difference Equations Example 5.1 Consider the following problem: J y γ I y2 t R α D0 y t 2 δ y , x ∈ 0, , δ ≥ 5.1 For this problem, we get the generalized fractional Euler-Lagrange...

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Báo cáo sinh học: " Research Article Existence and Lyapunov Stability of Periodic Solutions for Generalized Higher-Order Neutral Differential Equations" potx

Ngày tải lên : 21/06/2014, 16:20

... differential equations, while studies on higher-order neutral functional differential equations are rather infrequent, especially on higher-order p-Laplacian neutral functional differential equations ... differential equations, ” Applied Mathematics and Computation, vol 190, no 2, pp 1394–1401, 2007 Q Wang and B Dai, “Three periodic solutions of nonlinear neutral functional differential equations, ” ... differential equations, ” Journal of Mathematical Analysis and Applications, vol 329, no 1, pp 677–689, 2007 10 M R Zhang, “Periodic solutions of linear and quasilinear neutral functional-differential equations, ”...

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Báo cáo hóa học: " Research Article Generalized Levitin-Polyak Well-Posedness of Vector Equilibrium Problems" potx

Ngày tải lên : 21/06/2014, 20:20

... for two types of generalized vector quasiequilibrium problems However, there is no study on the generalized Levitin-Polyak well-posedness for vector equilibrium problems and vector quasiequilibrium ... The vector equilibrium problem VEP is said to be type I resp., type II, generalized type I, generalized type II LP well-posed if Ω / ∅ and for any type I resp., type II, generalized type I, generalized ... type I resp., type II, generalized type I, generalized type II LP well-posedness of VEP deﬁned in Deﬁnition 2.2 reduces to the type I resp., type II, generalized type I, generalized type II LP...

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Báo cáo hoa học: "Research Article Nonlocal Controllability for the Semilinear Fuzzy Integrodifferential Equations in n-Dimensional Fuzzy Vector Space" potx

Ngày tải lên : 21/06/2014, 20:20

... ndimension fuzzy vector, denote it as u1 , u2 , , un , and call the collection of all n-dimension fuzzy vectors i.e., the Cartesian product E × E × · · · × E n-dimensional fuzzy vector space, ... integrodifferential equations by using successive iteration In , Kwun et al investigated the continuously initial observability for the semilinear fuzzy integrodifferential equations Bede and Gal ... 2 Advances in Difference Equations memory In one-dimensional fuzzy vector space EN , Park et al proved the existence and uniqueness of fuzzy solutions...

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Báo cáo hóa học: " Research Article New Results on Multiple Solutions for Nth-Order Fuzzy Differential Equations under Generalized Differentiability" ppt

Ngày tải lên : 21/06/2014, 20:20

... fuzzy differential equations, ” Fuzzy Sets and Systems, vol 151, no 3, pp 581–599, 2005 10 B Bede, I J Rudas, and A L Bencsik, “First order linear fuzzy differential equations under generalized differentiability,” ... derivatives in generalized differentiability sense of the H-difference of two fuzzy functions and the product of a crisp and a fuzzy function N Dk1 , ,kN F Lemma 3.10 If f, g : I → RF are Nth-order generalized ... solution and translate problem 4.1 to a system of ordinary differential equations Then, we solve the obtained ordinary differential equations system Finally we find such a domain in which the solution...

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Báo cáo hóa học: " Research Article System of Generalized Implicit Vector Quasivariational Inequalities" potx

Ngày tải lên : 21/06/2014, 22:20

... generalized implicit vector variational inequality in [25], the implicit vector quasivariational inequality in [26], the generalized set-valued quasivariational-like inequality in [24], the generalized ... inequalities, the system of vector variational inequalities, the system of vector quasivariational-like inequalities, the system of variational inequalities, the generalized implicit vector quasivariational ... generalized vector variational-like inequality in [21–23], the set-valued quasivariational inequality in [19, 20], the generalized vector variational inequality in [12–18], and the vector variational...

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Báo cáo hóa học: " Research Article A Generalized Wirtinger’s Inequality with Applications to a Class of Ordinary Differential Equations" docx

Ngày tải lên : 22/06/2014, 02:20

... delay differential equations, ” Journal of Differential Equations, vol 189, no 2, pp 396–411, 2003 R D Nussbaum, “A Hopf global bifurcation theorem for retarded functional differential equations, ” Transactions ... pp 139–164, 1978 J L Kaplan and J A Yorke, “Ordinary differential equations which yield periodic solutions of differential delay equations, ” Journal of Mathematical Analysis and Applications, vol ... of one-dimensional differential-delay equations, ” Tohoku Mathematical Journal, vol 30, no 1, pp 13–35, 1978 S Chapin, “Periodic solutions of differential-delay equations with more than one delay,”...

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Báo cáo hóa học: "Research Article Optimality Conditions of Globally Efﬁcient Solution for Vector Equilibrium Problems with Generalized Convexity" pptx

Ngày tải lên : 22/06/2014, 02:20

... Journal of Inequalities and Applications Vector equilibrium problems, which contain vector optimization problems, vector variational inequality problems, and vector complementarity problems as special ... eﬃcient solution of the vector variational inequalities in ﬁnite dimensional spaces Morgan and Romaniello 17 gave scalarization and Kuhn-Tucker-like conditions for weak vector generalized quasivariational ... ⇒ C-subconvexlikeness ⇒ generalized C-subconvexlikeness 2.8 Yang 26 proved the following Lemma in Banach space; Chen and Rong 27 generalized the result to topological vector space Lemma 2.5 Assume...

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Báo cáo hóa học: " Research Article Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable" ppt

Ngày tải lên : 22/06/2014, 06:20

... initial equation Our main purpose here is to study the generalized stability for some functional equations in a single variable We prove the generalized Ulam-Hyers stability of the single variable ... 1.8 , the stability for the following generalized functional equation of the square root spiral f p−1 p x k f x hx 1.9 is obtained Thereafter, we present the generalized Ulam-Hyers stability of ... direct consequence of this result, the generalized Ulam-Hyers stability of the linear equation f x g x ·f η x h x is highlighted Notice that in all these equations, f is the unknown function and...

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