... text (HTML) versions will be made available soon.Minimal and maximal solutions to first- orderdifferentialequations withstate-dependent deviated argumentsBoundary 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...
... 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-2012-5Qi-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...
... some nonlinear ordinary differentialequations with advancedarguments. Nonlinear Anal 2003, 53:495-505.40. Yan JR: Oscillation of first- order impulsive differentialequations 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 differentialequations with deviating ... applications of integer order differentialequations wit h deviat ed arguments, we refer the reader to the refer-ences [39-45].As far as we know, fractional orderdifferentialequations with deviated...
... 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 ... CorporationAdvances in Difference Equations Volume 2010, Article ID 873459, 22 pagesdoi:10.1155/2010/873459Research ArticleNonoscillation of First- Order Dynamic Equations with Several DelaysElena ... is illustrated by examples which areneither delay-differential nor classical difference equations. 1. IntroductionOscillation of first -order delay-difference and differential equations has been...
... nonlinear firstorder 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 firstorder impulsive integro -differential equations of mixed type.J Math Anal Appl. 296,8–20 (2004). doi:10.1016/j.jmaa.2003.12.0478. Jankowski, T, Jankowski, R: On integro -differential equations ... for firstorder integro -differential equations ofmixed type. J Math Anal Appl. 300,1–11 (2004). doi:10.1016/j.jmaa.2004.02.06014. Xing, Y, Han, M, Zheng, G: Initial value problem for first order...
... Article ID 507671, 25 pagesdoi:10.1155/2009/507671Research Article First- Order Singular and Discontinuous Differential Equations Daniel C. Biles1and Rodrigo L´opez Pouso21Department ... 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 1.1between a pair of well-ordered lower and upper...
... Comparison theorems for infinite systems of differential functional equations and strongly coupled infinitesystems of firstorder partial differential equations. Rocky Mt J Math. 10, 237–246 (1980)Kamont ... PolandAbstractThe article deals with functional differential inequalities generated by the Cauchyproblem for nonlinear first- order partial functional differential equations. Theunknown function is the ... Functional differential inequalities, Haar pyramid, Comparison the orems,Weak solutions of initial problems1 IntroductionTwo types of results on first- order partial differential or functional differential...
... nonlinear integrodifferential equations of fractional order by applying some fixedpoint theorems.On the other hand, impulsive differential equations of fractional order play animportant role ... nonlocalboundary value problem of impulsive differential equations of fractional order is considered.Hindawi Publishing CorporationAdvances in Difference Equations Volume 2011, Article ID 404917, 16 pagesdoi:10.1155/2011/404917Research ... pagesdoi:10.1155/2011/404917Research ArticleNonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order Liu Yang1, 2and Haibo Chen11Department of Mathematics, Central South...
... third -order differential equations see 1–20.Various techniques appeared for the investigation of such equations. Some of them 1, 19make use of the methods developed for the second -order equations ... CorporationAdvances in Difference Equations Volume 2010, Article ID 160761, 12 pagesdoi:10.1155/2010/160761Research ArticleComparison Theorems for the Third -Order DelayTrinomial Differential Equations B. Bacul´ıkov´aandJ.DˇzurinaDepartment ... fromthe oscillation of a couple of the first -order differential equations. Obtained comparison principlesessentially simplify the examination of the studied equations. 1. IntroductionIn this paper,...
... pagesdoi:10.1155/2010/862079Research ArticlePositive Solutions for Fourth -Order Singularp-Laplacian DifferentialEquations with IntegralBoundary ConditionsXingqiu Zhang1, 2and Yujun Cui31Department ... for second order nonlinearsingular 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...
... concentrated on lower -order neutralfunctional differential equations, while studies on higher -order neutral functional differential equations are rather infrequent, especially on higher -order p-Laplacian ... ArticleExistence and Lyapunov Stability ofPeriodic Solutions for Generalized Higher -Order Neutral Differential Equations Jingli Ren,1Wing-Sum Cheung,2and Zhibo Cheng11Department 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...
... second order impulsivedifferential equations with advanced arguments,” Applied Mathematics and Computation, vol. 197, no.1, pp. 179–189, 2008.17 T. Jankowski, “Positive solutions to second order ... pagesdoi:10.1155/2011/654871Research ArticleMultiple Positive Solutions of Fourth -Order Impulsive DifferentialEquations with IntegralBoundary Conditions and One-Dimensionalp-LaplacianMeiqiang ... value problem for second order nonlinearsingular differential equations, ” Georgian Mathematical Journal, vol. 7, no. 1, pp. 133–154, 2000.22 C. Corduneanu, Integral Equations and Applications,...
... available soon.Periodic boundary value problems for nonlinear first- order impulsive dynamic equations on time scalesAdvances in Difference Equations 2012, 2012:12 doi:10.1186/1687-1847-2012-12Da-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 valueproblems for impulsive differential equations and impulsive difference equations...