higher order linear differential equations with constant coefficients ppt

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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, ... ,x l−1  t   , 1.3 where ϕ p : R → R is given by ϕ p s|s| p−2 s with p ≥ 2 being a constant, F is a continuous function defined on R l and is periodic with respect to t with period T,thatis,Ft, ·, ,· Ft  T, ·,...

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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 Feng School ... interesting discussions associated with problem 1.6. Discussion 1. Generally, it is difficult to obtain the upper and lower bounds of positive solutions for nonlinear higher- order boundary value problems...

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... and Nonlinear Differential Equations, vol.56ofLecture Notes in Mathematics, Springer, Berlin, Germany, 1977. 5 L. A. Kipnis, “On periodic solution of higher order nonlinear differential equations, ” ... second -order linear functional differ- ential equations, ” Boundary Value Problems, no. 3, pp. 247–261, 2005. 29 S. Mukhigulashvili, “On the solvability of a periodic problem for second -order nonlinear ... January 2008 Recommended by Donal O’Regan For higher- order functional differential equations and, particularly, for nonautonomous differential equations with deviated arguments, new sufficient conditions...

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... Nth- order fuzzy differential equations. Higher- order fuzzy differential equation with Hukuhara differentiability is considered in 12 and the existence and uniqueness of solution for nonlinearities ... 2,2-differentiable on 0,π/2. We then have a linear fuzzy differential equation with initial condition and two solutions. 5. Higher- Order Fuzzy Differential Equations Selecting different types of derivatives, ... approaches to the solvability of Nth -order linear fuzzy differential equations. Here, using the concept of generalized derivative and its extension to higher- order derivatives, we show that we have...

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... 14 Advances in Difference Equations 12 R. Yuan, “On the spectrum of almost periodic solution of second -order differential equations with piecewise constant argument,” Nonlinear Analysis: Theory, ... Difference Equations Volume 2009, Article ID 143175, 14 pages doi:10.1155/2009/143175 Research Article On the Spectrum of Almost Periodic Solution of Second -Order Neutral Delay Differential Equations with ... delay differential equations with piecewise constant argument,” Nonlinear Analysis: Theory, Methods & Applications, vol. 41, no. 7-8, pp. 871–890, 2000. 2 Advances in Difference Equations The...

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... 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 ... 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...

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... solutions. First -order differential equations with state-dependent deviated argu- ments have received a lot of attention in the last years. We can cite the recent articles [2–7] which deal with existence ... solutions for delay differential equations with state dependent delay. J. Diff. Equ. 144(2), 263– 301 (1998) 3. Dyki, A: Boundary value problems for differential equations with deviated arguments which ... 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,...

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... 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 impulses ... 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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... 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 ... 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     f  t, ... 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...

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... pages doi:10.1155/2009/937064 Research Article Positive Solutions to Singular and Delay Higher- Order Differential Equations on Time Scales Liang-Gen Hu, 1 Ti-Jun Xiao, 2 and Jin Liang 3 1 Department ... 2009 Recommended by Juan Jos ´ e Nieto We are concerned with singular three-point boundary value problems for delay higher- order dynamic equations on time scales. Theorems on the existence of ... Introduction In this paper, we are concerned with the following singular three-point boundary value problem BVP for short for delay higher- order dynamic equations on time scales:  −1  n u Δ 2n  t  ...

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... Difference Equations Volume 2010, Article ID 143298, 8 pages doi:10.1155/2010/143298 Research Article On Connection between Second -Order Delay Differential Equations and Integrodifferential Equations with ... obtained by transforming second -order delay dierential equations ăxtat xgt btxht  0 to first -order differential equations. 1. Introduction and Preliminaries The second order delay dierential equation ăx t ... differential equations with damping described by 1.1. Despite the obvious importance in applications, there are only few papers on delay differential equations with damping. 4 Advances in Difference Equations a2...

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