higher order linear differential equations general solution
Báo cáo sinh học: " Research Article Existence and Lyapunov Stability of Periodic Solutions for Generalized Higher-Order Neutral Differential Equations" potx
... differential equations are rather infrequent, especially on higher- order p-Laplacian neutral functionaldifferential equations. In this paper, we consider the following generalized higher- order neutral ... periodicsolutions for 1.2 have been presented.In general, most of the existing results are concentrated on lower -order neutralfunctional differential equations, while studies on higher- order ... pagesdoi:10.1155/2011/635767Research ArticleExistence and Lyapunov Stability ofPeriodic Solutions for Generalized Higher- Order Neutral Differential Equations Jingli Ren,1Wing-Sum Cheung,2and Zhibo Cheng11Department...
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báo cáo hóa học:" Research Article Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case" pot
... inhomogeneous second -order linear difference equation; its solution takes the form of a particular solution added to an arbitrary linear combination ofsolutions to the associated homogeneous linear difference ... inhomogeneous second -order linear difference equation; its solution takes theform of a particular solution added to an arbitrary linear combination of solutions to theassociated homogeneous linear difference ... asymptotic solutions of second -order linear differential equations, the method used in Wong and Li’s papers cannot give us wayto obtain error bounds of these asymptotic solutions. Only order estimations...
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Báo cáo sinh học: " Research Article Multiple Positive Solutions of Fourth-Order Impulsive Differential Equations with Integral Boundary Conditions and One-Dimensional p-Laplacian" ppt
... vol. 15,no. 4, pp. 489–493, 2002.10 D. Guo, “Multiple positive solutions for first order nonlinear impulsive integro-differential equations in a Banach space,” Applied Mathematics and Computation, ... nonnegative solutions for second order impulsivedifferential equations, ” Applied Mathematics and Computation, vol. 114, no. 1, pp. 51–59, 2000.13 B. Liu and J. Yu, “Existence of solution of ... 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...
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Báo cáo hóa học: " Research Article New Results on Multiple Solutions for Nth-Order Fuzzy Differential Equations under Generalized Differentiability" ppt
... have a linear fuzzy differential equation with initial condition and twosolutions.5. Higher- Order Fuzzy Differential Equations Selecting different types of derivatives, we get several solutions ... several solutions for Nth- order fuzzy differential equations. Higher- order fuzzy differential equation with Hukuharadifferentiability is considered in 12 and the existence and uniqueness of solution ... present a generalized concept of higher- order differentiability for fuzzy functions.Then we interpret Nth -order fuzzy differential equations using this concept. We introduce newdefinitions of solution...
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galois theory of linear differential equations - m. van der put, m. singer
... vis a solution of L(y)=cb.This construction allows one to reduce questions concerning nth order inhomo-geneous equations to n +1st order homogeneous equations. 2. Some order one equations ... =0,annth order inhomogeneous linear differential equation over k.LetLh(y)=b(1bL(y)).(a) Show that any solution in k of L(y)=b is a solution of Lh(y)=0.(b) Show that for any solution ... of linear differential equations (which we shall refer to simplyas differential Galois theory) is the analogue for linear differential equations ofthe classical Galois theory for polynomial equations. ...
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Báo cáo hoa học: " Research Article On Connection between Second-Order Delay Differential Equations and Integrodifferential Equations with Delay" pdf
... Difference Equations Volume 2010, Article ID 143298, 8 pagesdoi:10.1155/2010/143298Research ArticleOn Connection between Second -Order Delay Differential Equations and Integrodifferential Equations ... obtained by transforming second -order delay dierential equations ăxtat xgt btxht 0 to first -order differential equations. 1. Introduction and PreliminariesThe second order delay dierential equationăxt ... nonoscillatory solution, then 1.1 has a nonoscillatory solution, too.Proposition 1.1 means that second order delay equation 1.1 is reduced to nonlinearinequality 1.3 and first order delay...
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Báo cáo hóa học: " Oscillation of higher-order quasi-linear neutral differential equations" doc
... 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. ... third -order quasi -linear neutral functional differential equations. Arch Math. 47,181–199 (2011)18. Yildiz, MK, Öcalan, Ö: Oscillation results of higher- order nonlinear neutral delay differential ... for second -order superlinear neutral differential equations. Abstr ApplAnal. 2011,1–17 (2011)13. Li, T, Han, Z, Zhao, P, Sun, S: Oscillation of even -order neutral delay differential equations. ...
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báo cáo hóa học:" Research Article Positive Solutions to Singular and Delay Higher-Order Differential Equations on Time Scales" pptx
... 937064, 19 pagesdoi:10.1155/2009/937064Research ArticlePositive Solutions to Singular andDelay Higher- Order Differential Equations onTime ScalesLiang-Gen Hu,1Ti-Jun Xiao,2and Jin Liang31Department ... singular three-point boundary value problems for delay higher- order dynamic equations on time scales. Theorems on the existence of positive solutions are obtainedby utilizing the fixed point theorem ... Gatica, V. Oliker, and P. Waltman, “Singular nonlinear boundary value problems for second- order ordinary differential equations, ” Journal of Differential Equations, vol. 79, no. 1, pp. 62–78, 1989.15...
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