nonlinear differential equations examples
Báo cáo hóa học: " Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders" pot
... higher-order nonlinear fractional differential equations. Fixed Point Theory Appl 2010, 2010:1-17.30. Babakhani A: Positive solutions for system of nonlinear fractional differential equations in ... 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 ... nonlinear fractional differential equations. Int J Differ Equ 2010, 2010:1-12.28. Ahmad B, Nieto JJ: Existence results for a coupled system of nonlinear fractional differential equations with three-point...
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Báo cáo hóa học: " Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equations" potx
... neutral functional differential equations. Arch RationMech Anal. 19, 149–166 (1965). doi:10.1007/BF00282279doi:10.1186/1029-242X-2011-20Cite this article as: Zheng and Feng: Some new nonlinear integral ... 2011:20http://www.journalofinequalitiesandapplications.com/content/2011/1/20Page 14 of 15 RESEARC H Open AccessSome new nonlinear integral inequalities andtheir applications in the qualitative analysis of differential equations Bin Zheng1*and Qinghua Feng1,2* ... paper, some new nonlinear integral inequalities are established, which providea handy tool for analyzing the global existence and boundedness of solutions of differential and integral equations. ...
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báo cáo hóa học: " Some new results for BVPs of first-order nonlinear integro-differential equations of volterra type" doc
... conditions for differ-ential equations or impulsive differential equations. To the best of our knowledge it isthe first article to deal with integro -differential equations with “an ti-peri odic” ... of solutions forfirst-order nonlinear integro -differential equations with boundary value conditions.Our methods to prove the existence of solutions involve new differential inequalitiesand ... 34D09,34D99.Keywords: Boundary value problems, integro -differential equations, fixed-pointmotheds1. Introduction and preliminariesAs is known, integro -differential equations find many applications in various...
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Partial Differential Equations part 1
... America).Chapter 19. Partial Differential Equations 19.0 IntroductionThe numerical treatment of partial differential equations is, by itself, a vastsubject. Partial differential equations are at the ... Recipes dealing with partial differential equations alone. (Thereferences[1-4]provide, of course, available alternatives.)In most mathematics books, partial differential equations (PDEs) are classifiedinto ... possible choices forellipticsecond-order equations, but morecomplicated boundaryconditionscan also be encountered.) 834Chapter 19. Partial Differential Equations Sample page from NUMERICAL RECIPES...
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Partial Differential Equations part 2
... error is one associated with nonlinear hyperbolic equations andis therefore sometimes called nonlinearinstability. For example, a piece of the Euleror Navier-Stokes equations for fluid flow looks ... sn−1/2and rnbeing needed to advancethe solution.For equations more complicated than our simple model equation, especially nonlinear equations, the leapfrog method usually becomes unstable ... schemes, which require us to solve implicit equations couplingthe un+1jfor various j. (Explicit and implicit methods for ordinary differential equations were discussed in Đ16.6.) The FTCS...
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Tài liệu Integration of Ordinary Differential Equations part 1 doc
... 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. ... by the differential equations. Boundary conditionscan be as simple asrequiring that certain variables have certain numerical values, or as complicated asa set of nonlinear algebraic 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...
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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 ... REFERENCES AND FURTHER READING:Gear, C.W. 1971,Numerical Initial Value Problems in Ordinary Differential Equations (EnglewoodCliffs, NJ: Prentice-Hall).Acton, F.S. 1970,Numerical Methods That ... 710Chapter 16. Integration of Ordinary Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN...
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Tài liệu Partial Differential Equations part 3 pptx
... 848Chapter 19. Partial Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN ... not as easy. The replacement (19.2.22) with n → n +1leavesus with a nasty set of coupled nonlinear equations to solve at each timestep. Oftenthere is an easier way: If the form of D(u) allows ... given the initial wavepacket, ψ(x, t =0), together with boundary 852Chapter 19. Partial Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN...
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Tài liệu Partial Differential Equations part 4 ppt
... 856Chapter 19. Partial Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN ... U2(un+(1/m), ∆t)···un+1= Um(un+(m−1)/m, ∆t)(19.3.20) 854Chapter 19. Partial Differential Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN ... again!CITED REFERENCES AND FURTHER READING:Ames, W.F. 1977,Numerical Methods for Partial Differential Equations , 2nd ed. (New York:Academic Press), Chapter 2.Goldberg, A., Schey, H.M., and...
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