solving differential equations first order linear

... text (HTML) versions will be made available soon. Minimal and maximal solutions to first- order differential equations with state-dependent deviated arguments Boundary Value Problems 2012, 2012:7 ... HO, Wu, J: Functional differential equations with state-dependent delays: theory and applications. Hand- b ook of Differential Equations: Ordinary Differential Equations, vol. III. Elsevier/North-Holland, ... solutions), unfortunately often identified in the literature on lower and upper solutions. First- order differential equations with state-dependent deviated argu- ments have received a lot of attention...

Ngày tải lên: 20/06/2014, 20:20

... second -order superlinear neutral differential equations. Math Slovaca. (to appear) 12. Li, T, Han, Z, Zhang, C, Li, H: Oscillation criteria for second -order superlinear neutral differential equations. ... even -order neutral delay differential equations. Adv Differ Equ. 2010,1–9 (2010) 14. Li, T, Thandapani, E: Oscillation of solutions to odd -order nonlinear neutral functional differential equations. ... non -linear neutral delay differential equations of higher order for p(t) = ± 1. Arch Math. 40, 359–366 (2004) 16. Tang, S, Li, T, Thandapani, E: Oscillation of higher -order half -linear neutral differential...

Ngày tải lên: 20/06/2014, 22:20

... following first- order nonlinear integro -differential system with periodic boundary value conditions.  x  = f (t, x,(Kx)(t )), t ∈ [0 , 1] ; x(0) = x(1); (1:1) and first- order integro -differential ... problem for nonlinear first order ordinary differential equations. Math Inequal Appl. 6, 477–485 (2003) 23. Luo, ZG, Shen, JH, Nieto, JJ: Antiperiodic boundary value problem for first -order impulsive ... Difference Equations 2011, 2011:14 http://www.advancesindifferenceequations.com/content/2011/1/14 Page 14 of 17 RESEARCH Open Access Some new results for BVPs of first- order nonlinear integro-differential...

Ngày tải lên: 21/06/2014, 02:20

... we consider a nonlinear first -order difference equation. 2 Advances in Difference Equations Unlike t he method used by Olver 4 to treat asymptotic solutions of second -order linear differential equations, ... Difference Equations Volume 2010, Article ID 594783, 19 pages doi:10.1155/2010/594783 Research Article Error Bounds for Asymptotic Solutions of Second -Order Linear Difference Equations II: The First ... to second order linear difference equations in the first case. For the second case, we leave it to the second part of this paper: Error Bound for Asymptotic Solutions of Second -order Linear Difference Equation...

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... construction allows one to reduce questions concerning n th order inhomo- geneous equations to n +1 st order homogeneous equations. 2. Some order one equations over C((z)) Let C be an algebraically closed ... of linear differential equations (which we shall refer to simply as differential Galois theory) is the analogue for linear differential equations of the classical Galois theory for polynomial equations. ... glimpse at order two equations gives an indication how this classification could be used for linear differential equations in characteristic 0. A more or less obvious observation is that these linear...

Ngày tải lên: 31/03/2014, 15:56

... general solutions to systems of linear differential equations or higher order linear differential equations. Over the past decade or two, first -order differential equations have become a standard ... anticipation of the structural role that vector spaces play in solving linear systems of differential equations and higher order linear differential equations. Instructors may choose to move on from chapter ... solutions to linear differential equations and systems of equations exemplify important ideas in linear algebra, and how linear algebra often answers key questions regarding differential equations. ã...

Ngày tải lên: 11/06/2014, 07:16

... certain higher -order differential equations. Appl. Math. Comput. 134(2–3), 307–317 (2003) [17] Cakmak, D: Lyapunov-type integral inequalities for certain higher order differential equations. Appl. ... Stability criteria for linear periodic Hamiltonian systems. J. Math. Anal. Appl. 367, 329–336 (2010) [11] Wang, X: Lyapunov type inequalities for second -order half -linear differential equations. J. Math. ... literatures. Especially, Lyapunov inequality has been generalized extensively to the higher -order linear equations and the linear Hamiltonian sys- tems. A thorough literature review of continuous and discrete...

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... first order partial differential functional equations. Nonlinear Anal TMA. 14, 837–850 (1990). doi:10.1016/0362-546X(90)90024-B 14. Topolski, K: On the uniqueness of viscosity solutions for first ... Poland Abstract The article deals with functional differential inequalities generated by the Cauchy problem for nonlinear first- order partial functional differential equations. The unknown function is the ... Comparison theorems for infinite systems of differential functional equations and strongly coupled infinite systems of first order partial differential equations. Rocky Mt J Math. 10, 237–246 (1980) Kamont...

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... problem for non -linear differential equations of fractional order. Nonlinear Anal 2011, 74:792-804. 34. Zhang L, Wang G: Existence of solutions for nonlinear fractional differential equations with ... Walter W: On some nonlinear ordinary differential equations with advanced arguments. Nonlinear Anal 2003, 53:495-505. 40. Yan JR: Oscillation of first- order impulsive differential equations with advanced ... problem for second order differential equations with an advanced argument. Nonlinear Anal 2006, 65:2013-2023. 42. Jankowski T: Positive solutions for fourth -order differential equations with deviating...

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... value problem of nonlinear integrodifferential equations of fractional order by applying some fixed point theorems. On the other hand, impulsive differential equations of fractional order play an important ... Differential Equations, no.3, p. 11, 2008. 9 S. Zhang, “Positive solutions for boundary-value problems of nonlinear fractional differential equations, ” Electronic Journal of Differential Equations, ... and L. Zhang, “Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order, ” Nonlinear Analysis. Theory, Methods and Applications, vol. 74, no. 3, pp....

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... third -order differential equations see 1–20. Various techniques appeared for the investigation of such equations. Some of them 1, 19 make use of the methods developed for the second -order equations ... Corporation Advances in Difference Equations Volume 2010, Article ID 160761, 12 pages doi:10.1155/2010/160761 Research Article Comparison Theorems for the Third -Order Delay Trinomial Differential Equations B. Bacul ´ ıkov ´ aandJ.D ˇ zurina Department ... equations of third order, ” Nonlinear Analysis: Theory, Methods & Applications, vol. 34, no. 3, pp. 391–403, 1998. 14 N. Parhi and S. Padhi, “Asymptotic behaviour of solutions of third order...

Ngày tải lên: 21/06/2014, 11:20

... delay dynamic equations of first order, ” Advances in Difference Equations, vol. 2008, Article ID 458687, 12 pages, 2008. 10 H. A. Agwo, “On the oscillation of first order delay dynamic equations with ... Corporation Advances in Difference Equations Volume 2010, Article ID 873459, 22 pages doi:10.1155/2010/873459 Research Article Nonoscillation of First- Order Dynamic Equations with Several Delays Elena ... obtained separately for delay difference equations and delay-differential equations can be incorporated in the general type of equations called dynamic equations. The objective of this paper is...

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... for second order nonlinear singular differential equations, ” Georgian Mathematical Journal, vol. 7, no. 1, pp. 133–154, 2000. 9 Z. Yang, “Positive solutions to a system of second -order nonlocal ... as well as C 2 0, 1 positive solutions for fourth -order singular p-Laplacian differential equations with integral boundary conditions. Our nonlinearity f may be singular at t  0, t  1, and u ... we consider the existence of positive solutions for the following nonlinear fourth -order singular p-Laplacian differential equations with integral boundary conditions:  ϕ p  x   t    ...

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