construct a first order linear differential equation whose solutions have the required
Tài liệu Báo cáo " Fully parallel methods for a class of linear partial differential-algebraic equations " pptx
... Albarreal, M.C. Calzada, J.L. Cruz, E. Fern´andez-Cara, M. Mari´n, Stability and Convergence of a ParallelFractional Step Method for the Solution of Linear Parabolic Problems, Applied Mathematics ... Journal of Science, Mathematics - Physics 23 (2007) 201-209Fully parallel methods for a class of linear partial differential- algebraic equationsVu Tien Dung∗Department of Mathematics, Mechanics, ... (DAE), partial differential- algebraic equation (PDAE),nonnegative pencil of matrices, parallel method1. IntroductionRecently there has been a growing interest in the analysis and numerical...
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a first course in linear algebra - robert a. beezer
... so they can be referencedprecisely later. Definitions and theorems are cataloged in order of their appearance in the front of the book, and alphabetical order in the index at the back. Along the ... power andwidespread applicability of linear algebra to as many fields as possible. The Archetypes(Chapter A [685]) cover many of the computational aspects of systems of linear equations,matrices ... problem appears in a middle-school mathematics textbook: Together Danand Diane have $20. Together Diane and Donna have $15. How much do the three ofthem have in total? Problem 5–1.19, Transistion...
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a hierarchical classification of first-order
... neural networks and Muller automata, and then trans-lating the Wadge classification theory from the automata-theoretic to the neuralnetwork context [1,2,9,19]. The obtained hierarchical classification ... j). A strict chain (resp. an antichain) is said to be maximal if itslength is at least as large as the length of every other strict chain (resp. antichain). A Hierarchical Classification of First- Order ... word reading automata theory. More precisely, the Wadgeclassification of infinite word languages is translated from the automata-theoreticto the neural network context, and a transfinite decidable...
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A first course in linear algebra
... more theoretical ideas that will appear later.Section WILAWhat is Linear Algebra?Subsection LA Linear + “Algebra” The subject of linear algebra can be partially explained by the meaning of the ... learning a second language, the necessary adjustments can be challenging at times, but the rewards are many. And it will make learning yourthird and fourth algebras even easier. Perhaps you have heard ... colleagues in the Mathematics and Computer Science Department have graciously taught our introductory linear algebra course using preliminary versions and have provided valuable suggestions that have...
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Báo cáo toán học: " Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments" pptx
... solutions. The first result ensures the existence of maximal and minimal solutions, and the second one establishes the existence of the greatest and the least solutions in a particular case. The concepts ... Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formattedPDF and full text (HTML) versions will be made available soon.Minimal and maximal solutions to first- order differential ... false ingeneral, and an analgous remark is true for maximal and greatest solutions. Interestingly, we will show that problem (1) may have minimal (ma-ximal) solutions between given lower and...
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Báo cáo hóa học: " On a class of second-order nonlinear difference equation" potx
... this equation, and the positive equilibrium point 1 of this equation is proved to beglobally asymptotically stable.Mathematics Subject Classification (2000)3 9A1 0Keywords: rational difference equation, ... SouthChina, Hengyang, Hunan 421001,People’s Republic of ChinaFull list of author information isavailable at the end of the articleAbstractIn this paper, we consider the rule of trajectory ... global asymptotic stabilityBefore stating the oscillation and non-oscillation of solutions, we need the followingkey lemmas. For any integer a, denote N a = {a, a + 1, ,}.3.1 Four LemmasLemma...
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báo cáo hóa học: " Weak solutions of functional differential inequalities with first-order partial derivatives" ppt
... 57,80-952 Gdańsk, PolandAbstract The article deals with functional differential inequalities generated by the Cauchyproblem for nonlinear first- order partial functional differential equations. The unknown ... function is the functional variable in equation and inequalities, and the partial derivatives appear in a classical sense. Theorems on weak solutions tofunctional differential inequalities are presented. ... The Characteristics method and Its Generalizations for First Order Nonlinear Partial Differential equations. Chapmann and Hall/CRC, Boca Raton, FL (2000)6. Brandi, P, Marcelli, C: Haar Inequality...
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báo cáo hóa học: " Some new results for BVPs of first-order nonlinear integro-differential equations of volterra type" doc
... Corduneanu, C: Integral Equations and Applications. Cambridge University Press, Cambridge (1991)2. Guo, D, Lakshmikantham, V, Liu, X: Nonlinear Integral Equations in Abstract Spaces. Kluwer Academic, ... Volterra type on timescales. Nonlinear Anal. 68, 127–138 (2008). doi:10.1016/j.na.2006.10.03616. Xu, H, Nieto, JJ: Extremal solutions of a class of nonlinear integro -differential equations in Banach ... Introduction and preliminariesAs is known, integro -differential equations find many applications in various mathema-tical problems, see Cordunean’s book [1], Guo et al.’ s book [2] and references thereinfor...
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báo cáo hóa học: " Existence and multiplicity of positive solutions for a nonlocal differential equation" docx
... for a nonlocal differential equation Yunhai Wang1*, Fanglei Wang2,3and Yukun An3* Correspondence: yantaicity@163.com1College of Aeronautics andAstronautics, Nanjing University ofAeronautics ... establishedwhen necessary. Nonlocal BVPs of ordinary differential equations or system arise in a vari-ety of areas of applied mathematics and physics. In recent years, more and more papersWang ... α)ϕ(1);(H12) There exists a constant a > 0 such thatf (u) >(( a θ)qϕ(1) )a L,foru ∈ [a, a θ].Then, BVP (Equation 1) has at least three positive solutions. Proof. For the sake of applying the...
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báo cáo hóa học: " Study of the asymptotic eigenvalue distribution and trace formula of a second order operatordifferential equation" ppt
... of a second order operator- differential equation Nigar Mahar Aslanova1,2Correspondence: nigar.aslanova@yahoo.com1Department of Differential Equation, Institute of Mathematicsand Mechanics-Azerbaijan ... Mathematicsand Mechanics-Azerbaijan NationalAcademy of Science, 9, F. AgayevStreet, Baku AZ1141, AzerbaijanFull list of author information isavailable at the end of the articleAbstract The purpose of ... origin and the imaginary root at -ix0,kalong the small semicircle on the right side of the imaginary axis and ix0,kon the left.Then, we claim that the following lemma is true.Lemma 2.3. For a...
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Báo cáo hóa học: "Research Article Iterative Solutions of Singular Boundary Value Problems of Third-Order Differential Equation" potx
... inMathematics in Science and Engineering, Academic Press, Boston, Mass, USA, 1988.16 D. Guo, V. Lakshmikantham, and X. Liu, Nonlinear Integral Equations in Abstract Spaces, vol. 373 ofMathematics ... Problems13 Z. Du, W. Ge, and X. Lin, “Existence of solutions for a class of third -order nonlinear boundary valueproblems,” Journal of Mathematical Analysis and Applications, vol. 294, no. 1, ... Differential equations,” in Mathematics and Its Applications, Reidel,Dordrecht, the Netherlands, 1987.2 L J. Guo, J P. Sun, and Y H. Zhao, “Existence of positive solutions for nonlinear third-order...
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Báo cáo hóa học: " Research Article The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions" potx
... Systems,Cambridge Academic, Cambridge, UK, 2009.7 V. Lakshmikantham and A. S. Vatsala, “Basic theory of fractional differential equations,” NonlinearAnalysis. Theory, Methods & Applications, ... 56–64, 2005.9 V. Daftardar-Gejji and S. Bhalekar, “Boundary value problems for multi-term fractional differentialequations,” Journal of Mathematical Analysis and Applications, vol. 345, no. ... Guo, V. Lakshmikantham, and X. Liu, Nonlinear Integral Equations in Abstract Spaces, vol. 373 ofMathematics and Its Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1996.27...
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