first order differential equations real life examples

... 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...

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... 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. ... (HTML) versions will be made available soon. Lyapunov-type inequalities for a class of even -order differential equations Journal of Inequalities and Applications 2012, 2012:5 doi:10.1186/1029-242X-2012-5 Qi-Ming ... Comput. 216, 368–373 (2010) [18] He, X, Tang, XH: Lyapunov-type inequalities for even order differential equations. Commun. Pure Appl. Anal. 11(2), 465–473 (2012) [19] Almansi, E: Sopra una delle...

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... 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 ... applications of integer order differential equations wit h deviat ed arguments, we refer the reader to the refer- ences [39-45]. As far as we know, fractional order differential equations with deviated...

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... 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 ... is illustrated by examples which are neither delay-differential nor classical difference equations. 1. Introduction Oscillation of first -order delay-difference and differential equations has been...

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... 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 ordinary differential equations. ... for first order impulsive integro -differential equations of mixed type. J Math Anal Appl. 296,8–20 (2004). doi:10.1016/j.jmaa.2003.12.047 8. Jankowski, T, Jankowski, R: On integro -differential equations ... for first order integro -differential equations of mixed type. J Math Anal Appl. 300,1–11 (2004). doi:10.1016/j.jmaa.2004.02.060 14. Xing, Y, Han, M, Zheng, G: Initial value problem for first order...

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... Article ID 507671, 25 pages doi:10.1155/2009/507671 Research Article First- Order Singular and Discontinuous Differential Equations Daniel C. Biles 1 and Rodrigo L ´ opez Pouso 2 1 Department ... of first -order singular differential equations, ” Bulletin of the London Mathematical Society, vol. 40, no. 1, pp. 143–150, 2008. 17 J. Chu and J. J. Nieto, “Recent results for second order singular ... Definition 2.1. 5. Singular Differential Equations It is the goal of the present section to establish a theorem on existence of solutions for 1.1 between a pair of well-ordered lower and upper...

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... 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. ... 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 equations. ...

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... 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 ... 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 ... Functional differential inequalities, Haar pyramid, Comparison the orems, Weak solutions of initial problems 1 Introduction Two types of results on first- order partial differential or functional differential...

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... 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 role ... nonlocal boundary value problem of impulsive differential equations of fractional order is considered. Hindawi Publishing Corporation Advances in Difference Equations Volume 2011, Article ID 404917, 16 pages doi:10.1155/2011/404917 Research ... pages doi:10.1155/2011/404917 Research Article Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order Liu Yang 1, 2 and Haibo Chen 1 1 Department of Mathematics, Central South...

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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 ... from the oscillation of a couple of the first -order differential equations. Obtained comparison principles essentially simplify the examination of the studied equations. 1. Introduction In this paper,...

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... pages doi:10.1155/2010/862079 Research Article Positive Solutions for Fourth -Order Singular p-Laplacian Differential Equations with Integral Boundary Conditions Xingqiu Zhang 1, 2 and Yujun Cui 3 1 Department ... 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 ... fourth -order differential equations with integral boundary conditions,” Journal of Computational and Applied Mathematics, vol. 222, no. 2, pp. 561–573, 2008. 14 C. Corduneanu, Integral Equations...

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... concentrated on lower -order neutral functional differential equations, while studies on higher -order neutral functional differential equations are rather infrequent, especially on higher -order p-Laplacian ... Article Existence and Lyapunov Stability of Periodic Solutions for Generalized Higher -Order Neutral Differential Equations Jingli Ren, 1 Wing-Sum Cheung, 2 and Zhibo Cheng 1 1 Department of Mathematics, ... differential equations, ” Nonlinear Analysis: Real World Applications, vol. 9, no. 3, pp. 977–984, 2008. 8 K. Wang and S. Lu, “On the existence of periodic solutions for a kind of high -order neutral...

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... second order impulsive differential equations with advanced arguments,” Applied Mathematics and Computation, vol. 197, no. 1, pp. 179–189, 2008. 17 T. Jankowski, “Positive solutions to second order ... pages doi:10.1155/2011/654871 Research Article Multiple Positive Solutions of Fourth -Order Impulsive Differential Equations with Integral Boundary Conditions and One-Dimensional p-Laplacian Meiqiang ... value problem for second order nonlinear singular differential equations, ” Georgian Mathematical Journal, vol. 7, no. 1, pp. 133–154, 2000. 22 C. Corduneanu, Integral Equations and Applications,...

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... available soon. Periodic boundary value problems for nonlinear first- order impulsive dynamic equations on time scales Advances in Difference Equations 2012, 2012:12 doi:10.1186/1687-1847-2012-12 Da-Bin ... differential equations is emerging as an important area of in- vestigation, since it is a lot richer than the corresponding theory of differential equations without impulse effects. Moreover, such equations ... several real world phenom- ena in physics, biology, engineering, etc. (see [1–3]). At the same time, the boundary value problems for impulsive differential equations and impulsive difference equations...

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