discontinuous solutions of nonlinear differential equations
Báo cáo hóa học: " Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders" pot
... Recently, there are a large number of papers dealing with the existence of solutions of nonlinear fractional differential equations by the use of techniques of nonlinear analysis (fixed point theore ... coupled system of nonlinear fractional differential equations. Appl Math Lett2009,22:64-69.26. Gejji VD: Positive solutions of a system of nonlinear fractional differential equations. J Math ... uniqueness of solutions for coupled systems of higher-order nonlinear fractional differential equations. Fixed Point Theory Appl 2010, 2010:1-17.30. Babakhani A: Positive solutions for system of nonlinear...
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Báo cáo toán học: " Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations" docx
... made available soon.Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations Advances in Difference Equations 2012, 2012:6 doi:10.1186/1687-1847-2012-6Oi ... ∈ (0, 1);2. a sequence of complex numbers zn, |zn| < r; Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations Qi Jianming1,3, ... order of entire solutions of some algebraic differential equations and improve the related results of Bergweiler, Barsegian, and others.We also estimate the growth order of entire solutions of a...
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báo cáo hóa học:" Research Article Existence of Homoclinic Solutions for a Class of Nonlinear Difference Equations" pot
... class of 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, ” ... u∗is a desired classical solution of 1.1. Since d>0, u∗is a nontrivialhomoclinic solution. The proof is complete.Proof of Theorem 1.2. In the proof of Theorem 1.1, the condition that ... pagesdoi:10.1155/2010/470375Research ArticleExistence of Homoclinic Solutions for a Class of Nonlinear Difference Equations Peng Chen and X. H. TangSchool of Mathematical Sciences and Computing Technology,...
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báo cáo hóa học:" Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations" ppt
... made available soon.Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations Advances in Difference Equations 2012, 2012:6 doi:10.1186/1687-1847-2012-6Oi ... solutions of some algebraic differential equations and improve the related results of Bergweiler, Barsegian, and others.We also estimate the growth order of entire solutions of a type system of a ... [w(m)(z)]rm, 17[11] Gu, RM, Ding, JJ, Yuan, WJ: On the estimate of growth order of solutions of aclass of systems of algebraic differential equations with higher orders. J. ZhanjiangNormal Univ. (in...
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Tài liệu Integration of Ordinary Differential Equations part 1 doc
... Integration of Ordinary Differential Equations 16.0 IntroductionProblems involving ordinary differential equations (ODEs) can always bereduced to the study of sets of first-order differential equations. ... auxiliary variables.The generic problem in ordinary differential equations is thus reduced to thestudy of a set of N coupled first-order differential equations for the functionsyi,i=1,2, ,N, having ... 1973,Computational Methods in Ordinary Differential Equations (New York: Wiley).Lapidus, L., and Seinfeld, J. 1971,Numerical Solution of Ordinary Differential Equations (NewYork: Academic Press).16.1...
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Tài liệu Integration of Ordinary Differential Equations part 2 pptx
... 1973,Computational Methods in Ordinary Differential Equations (New York: Wiley).Lapidus, L., and Seinfeld, J. 1971,Numerical Solution of Ordinary Differential Equations (NewYork: Academic Press).16.1 ... 710Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright ... that derive from this basic 712Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright...
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Tài liệu Integration of Ordinary Differential Equations part 3 doc
... generally useful stepperroutine is this: One of the arguments of the routine will of course be the vector of dependent variables at the beginning of a proposed step. Call that y[1 n].Letus require ... ,n−1y(x+H)≈yn≡12[zn+zn−1+hf(x + H, zn)](16.3.2) 714Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright ... informationcan beobtained. Obviously, 720Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright...
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Tài liệu Integration of Ordinary Differential Equations part 4 ppt
... 722Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright ... Initial Value Problems in Ordinary Differential Equations (EnglewoodCliffs, NJ: Prentice-Hall). [1]Cash, J.R., and Karp, A.H. 1990,ACM Transactions on Mathematical Software, vol. 16, pp. 201–222. ... modified midpoint method, which advances a vector of dependent variables y(x) from a point x to a point x + H by a sequence of nsubsteps each of size h,h = H/n (16.3.1)In principle, one could...
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Tài liệu Integration of Ordinary Differential Equations part 5 pdf
... extrapolate eachcomponent of a vector of quantities. 728Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN ... methoda degree of robustness for problems with discontinuities.Let us remind you once again that scaling of the variables is often crucial forsuccessful integration of differential equations. The ... method does an excellent job of feeling its way through rocky or discontinuous terrain. It is also an excellent choice for quick-and-dirty, low-accuracy solution of a set of equations. A second warning...
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Tài liệu Integration of Ordinary Differential Equations part 6 pdf
... vol. 27, pp. 505–535.16.6 Stiff Sets of Equations As soon as one deals with more than one first-order differential equation, thepossibility of a stiff set of equations arises. Stiffness occurs ... Second-Order Conservative Equations Usually when you have a system of high-order differential equations to solve it is bestto reformulate them as a system of rst-order equations, as discussed ... compatibility with bsstep the arrays y and d2y are of length 2n for asystem of n second-order equations. The values of y arestoredinthefirstnelements of y,while the first derivatives are stored in...
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