solving coupled differential equations with mathematica

... applications of integerorder differential equations with deviated arguments, we refer the reader to the refer-ences [39-45]. As far as we know, fractional order differential equations with deviated arguments ... 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 argument ... 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 arguments

Ngày tải lên: 21/06/2014, 03:20

... 325415, 16 pagesdoi:10.1155/2010/325415 Research Article Variational Approach to Impulsive Differential Equations with Dirichlet Boundary Conditions Huiwen Chen and Jianli Li Department of Mathematics, ... study the existence of n distinct pairs of nontrivial solutions for impulsive differential equations with Dirichlet boundary conditions by using variational methods and critical point theory 1 ... impulsive differential equations In recent years, many researchers have used some fixed point theorems6,7, topological degree theory 8, and the method of lower and upper solutions with monotone iterative

Ngày tải lên: 21/06/2014, 11:20

... pagesdoi:10.1155/2010/862079 Research Article Positive Solutions for Fourth-Order Singular p-Laplacian Differential Equations with Integral Boundary Conditions Xingqiu Zhang1, 2 and Yujun Cui3 1 Department of Mathematics, ... 1 as well as C20, 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 ... positive solutions for the following nonlinear fourth-order singular p-Laplacian differential equations with integral boundary conditions:  ϕ p xt ft, xt, xt, 0 < t < 1, x0

Ngày tải lên: 21/06/2014, 11:20

... differential equations,” Abstract and Applied Analysis, vol 2009, Article ID 494720, 9 pages, 2009 14 B Ahmad and J R Graef, “Coupled systems of nonlinear fractional differential equations with nonlocal ... PanAmerican Mathematical Journal, vol 19, no 3, pp 29–39, 2009. 15 B Ahmad and J J Nieto, “Existence results for a coupled system of nonlinear fractional differential equations with three-point ... differential equations,” Journal of Mathematical Analysis and Applications, vol 345, no 2, pp 754–765, 2008. 6 G M N’Gu´er´ekata, “A Cauchy problem for some fractional abstract differential equation with

Ngày tải lên: 21/06/2014, 16:20

... pagesdoi: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 ... of integral equations and their relation with boundary-value problems, we refer to the book of Corduneanu22 and Agarwal and O’Regan 23.On the other hand, boundary-value problems with integral ... theory of impulsivedifferential equations, see Lakshmikantham et al 1; for an overview of existing results and of recent research areas of impulsive differential equations, see Benchohra et al

Ngày tải lên: 21/06/2014, 16:20

... made available soon Extremal solutions for certain type of fractional differential equations with maxima Advances in Difference Equations 2012, 2012:7 doi:10.1186/1687-1847-2012-7 Rabha W Ibrahim ... in Difference Equations © 2012 Ibrahim ; licensee Springer. Trang 2Extremal solutions for certain type of fractional differential equations with maxima Rabha W Ibrahim Institute of Mathematical ... differential equations, because some boundary conditions are automatically fulfilled and due to lower order differ-ential requirements (see [9]) Differential equations with maximum arise naturally when solving

Ngày tải lên: 21/06/2014, 17:20

... AbstractThis article is concerned with impulsive semilinear differential equations with nonlocalinitial conditions in Banach spaces The approach used is fixed point theorem combinedwith the technique of ... functional differentialand integrodifferential inclusions in Banach spaces J Math Anal Appl 258, 573–590(2001)[11] Dong, QX, Li, G: Existence of solutions for semilinear differential equations with ... versions will be made available soon Impulsive differential equations with nonlocal conditions in general Banach spaces Advances in Difference Equations 2012, 2012:10 doi:10.1186/1687-1847-2012-10

Ngày tải lên: 21/06/2014, 17:20

... Research Article On the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of Argument Li Wang and Chuanyi Zhang Department of Mathematics, ... Differential equations with piecewise constant argument, which were firstly considered by Cooke and Wiener1 and Shah and Wiener 2, combine properties of both differential and difference equations ... spectrum containment of almost periodic solution of second-order neutral delay differential equations with piecewise constant of argumentEPCA, for short of the form xt  pxt − 1 qx 2t

Ngày tải lên: 21/06/2014, 20:20

... pagesdoi:10.1155/2008/407352 Research Article Fixed Points and Stability in Neutral Stochastic Differential Equations with Variable Delays Meng Wu, 1 Nan-jing Huang, 1 and Chang-Wen Zhao 2 1 Department ... now, the fixed point theory is almost used to deal with the stability for deterministic differential equations, not for stochastic differential equations Very recently, Luo 6 studied the mean ... class of linear scalar neutral stochastic differential equations For more details of the stability concerned with the stochastic differential equations, we refer to8,9 and the references therein

Ngày tải lên: 21/06/2014, 23:20

... pagesdoi:10.1155/2007/98423 Research Article Oscillation of Higher-Order Neutral-Type Periodic Differential Equations with Distributed Arguments R S Dahiya and A Zafer Received 19 October 2006; Accepted ... numbers with λ > 0 and μ > 0. Trang 3We may begin with the following comparison theorem.Theorem 2.1 Let δ = 1, α ≥ 0, β < 0, and 1 + α + β > 0 Suppose that (a) equation ( E k μ ) with ... solution of degree n; (b) equation ( E λ h ) with λ = − β and h = − τ has no eventually positive solution of degree 0 whenever n is odd; (c) equation ( E μ k ) with μ =1 +α and k = τ has no eventually

Ngày tải lên: 22/06/2014, 18:20

... pagesdoi:10.1155/2007/41589 Research Article Existence of Solutions for Second-Order Nonlinear Impulsive Differential Equations with Periodic Boundary Value Conditions Chuanzhi Bai and Dandan Yang Received 12 February ... of impulsive differential equations to different areas, for example, see [6–15] Boundary value problems (BVPs) for impulsive differential equations and im-pulsive difference equations [16–20] have ... properly cited 1 Introduction Impulsive differential equations, which arise in physics, population dynamics, econom-ics, and so forth, are important mathematical tools for providing a better understanding

Ngày tải lên: 22/06/2014, 19:20

... pagesdoi:10.1155/2007/49125 Research Article Semigroup Approach to Semilinear Partial Functional Differential Equations with Infinite Delay Hassane Bouzahir Received 6 November 2006; Revised 16 January 2007; ... Recommended by Simeon Reich We describe a semigroup of abstract semilinear functional differential equations with infinite delay by the use of the Crandall Liggett theorem We suppose that the linear part ... is properly cited 1 Introduction Most of the existing results about functional differential equations with finite delay have been recently under verification in the case of infinite delay Our objective

Ngày tải lên: 22/06/2014, 22:20

... =0, x(T) = rx(γ) withγ ∈(0,T), r ≤0, (6.5) where f ∈ C(J × R4,R),r, γ are fixed numbers and α, β ∈ C(J, J). We will combine definitions of coupled lower and upper solutions with coupled lower and ... one-sided Lipschitz condition with respect to the last two variables with corresponding functions instead of constants Note that the special case whenf is monotone nonincreasing (with respect to the last ... Definition 2.5 Let a pair (U, V ) be a coupled quasisolutions of (1.1) (U, V ) are called minimal and maximal coupled quasisolutions of (1.1) if for any elseU, V coupled qua-sisolutions of (1.1),

Ngày tải lên: 22/06/2014, 22:20

... Trang 1FUNCTIONAL DIFFERENTIAL EQUATIONS WITHNONDENSELY DEFINED OPERATORS M BELMEKKI, M BENCHOHRA, AND S K NTOUYAS Received 24 ... not dense inC([0, 1],R) with the sup-norm See [5] for more examples and remarks concerning nondensely defined operators Recently, evolution functional differential equations with nondensely defined ... This paper is concerned with the existence of integral solutions and extremal integral so-lutions defined on a compact real interval for first-order semilinear differential equations InSection 3,

Ngày tải lên: 22/06/2014, 22:20

... ordinary differential equations with nonlinear boundary conditions, Appl Math Comput 153 (2004), no 3, 793– 802 T Jankowski, Monotone iterative technique for differential equations with nonlinear boundary ... Ordinary differential equations with nonlinear boundary conditions, Georgian Math J (2002), no 2, 287–294 , Existence of solutions of boundary value problems for differential equations with delayed arguments, ... technique is used with problem (1.1) In the next section we study weakly coupled lower and upper solutions of problem (1.1) formulating corresponding results when problem (1.1) has coupled quasisolutions,

Ngày tải lên: 23/06/2014, 00:20

... Trang 1HIGHER-ORDER LINEAR DIFFERENTIAL EQUATIONSWITH STRONG SINGULARITIES R P AGARWAL AND I KIGURADZE Received 4 April 2004; Revised ... 2004; Accepted 14 December 2004 For strongly singular higher-order linear differential equations together with two-pointconjugate and right-focal boundary conditions, we provide easily verifiable ... b[) (L2α,β(]a, b[)) is the space of integrable (square integrable) with the weight (t − a) α(b − t) βfunctionsy :]a, b[ → Rwith the norm α(]a, b])) is the space of functions y ∈ Lloc(]a, b[)

Ngày tải lên: 23/06/2014, 00:20

... the existence of periodic solutions to differential equation with piecewise constant argument In this note, we are concernded with differential equations with piecewise constant argument of the ... ordinary differential equations, saying that the linear differential equation of the form b= Alt)e(t) + f(t), where A, f is continuous, periodic with the same period 7, has a periodic solution with ... f is a bounded continuous function from R to C”, |.| is the largest integer function Differential equations with piecewise constant argument have been considered in many works since they are found

Ngày tải lên: 11/03/2015, 07:57

... stochastic differential equations with discontinuous drift The aim of the present paper is to investigate the weak order of the Euler-Maruyama approx-imation for stochastic differential equations ... regularity condition on the coefficients b, σ and the test function f The stochastic differential equations with non-smooth drift appear in many applications, es-pecially when one wants to model ... Trang 1Approximation for non-smooth functionals of stochasticdifferential equations with irregular drift Hoang-Long Ngo∗ and Dai Taguchi† Abstract We find upper bounds

Ngày tải lên: 14/10/2015, 07:53

... one-dimensional stochastic differential equations with superlinearly growing drift and H¨older continuous diffusion coef-ficients Let us consider a stochastic differential equation (SDE for short) ... Stochastic Differential Coefficient Hanoi National Univesity of Education Abstract We study the strong rate of convergence of the tamed Euler-Maruyama approximation for one-dimensional stochastic differential ... extensive studies on the strong approximations of SDE (1.1) with non-Lipschitz coefficients The rates of Euler-Maruyama scheme for SDEs with H¨older continuous diffusion coefficients have been investigated

Ngày tải lên: 14/10/2015, 07:58

... functional differential equations, J Differential Equations 153 1999 , 407᎐441. 21 H Thieme, Semiflows generated by Lipschitz perturbations of non-densely defined Ž operators, Differential Integral Equations ... functional differential equations with un-Ž bounded delay, Indian J Pure Appl Math 27 1996 , 357᎐386. 11 H R Henriquez, Regularity of solutions of abstract retarded functional differential Ž equations ... functional differential equations with infinite delay, J Nonlinear Anal., in press. 2 M Adimy, H Bouzahir, and K Ezzinbi, Local existence and stability for a class of partial functional differential equations

Ngày tải lên: 29/10/2015, 14:19