Ordinary Differential Equation
GROUP CLASSIFICATION OF LINEAR SECOND-ORDER DELAY ORDINARY DIFFERENTIAL EQUATION | Pue-on | Proceedings of ICMSA 2979 5742 1 SM
... given equation is called an equivalence problem. If the given equation is a linear equation, then the equivalence problem is called a linearization ...order ordinary differential ...
6
Paper-17-Acta24.2010. 105KB Jun 04 2011 12:03:11 AM
... The homotopy perturbation method [8, 11, 16 - 17] is a combination of the clas- sical perturbation technique and homotopy concept as used in topology. To explain the basic idea of homotopy perturbation method for solving ...
12
Nonlinear ordinary differential equations
... In other words, it is mathematically impossible for a solution to reach an equilibrium position in a finite amount of time — although it may well approach equilibrium in an asymptotic fashion as t → ∞ ; see Proposition ...
62
Directory UMM :Journals:Journal_of_mathematics:GMJ:
... 16. J. Y. Wang, A singular nonlinear boundary value problem for a higher order ordinary differential equation. Nonlinear Anal. 22 (1994), 1051–1056. 17. R. P. Agarwal and P. J. W. Wong, Existence of ...
12
Directory UMM :Journals:Journal_of_mathematics:EJQTDE:
... an ordinary differential equation was stable, but not uniformly stable, then the existence of a positive definite Liapunov function with a negative definite derivative was insufficient to conclude ...
19
sigma10-051. 222KB Jun 04 2011 12:10:40 AM
... Application of the generalized Sundman transformation for the linearization problem was ana- lyzed in the paper. Since the method is well-known, the efficiency of the method is not discussed in the paper. The paper just ...
11
Directory UMM :Journals:Journal_of_mathematics:EJQTDE:
... for s ≥ 0. Then, we define a function h as in (2.4). The remainder of the proof is divided in two steps: in the former, we study some simple properties of the solutions of a second order ordinary ...
24
Directory UMM :Data Elmu:jurnal:I:International Review of Economics And Finance:Vol9.Issue2.Feb2000:
... This article provides an operational framework of global stability analysis when Ljung’s (1977) ordinary differential equation (ODE) approach is applied to the recursive stochastic system. We first ...
15
Directory UMM :Journals:Journal_of_mathematics:EJQTDE:
... In the presence of damping, a number of oscillation criteria have been ob- tained by Li and Agarwal [16], Grace and Lalli [9], Rogovchenko [29], Kirane and Rogovchenko [14], Li et al. [17], Yang [36] Nagabuchi and Minora ...
19
A 4-Point Block Method For Solving Higher Order Ordinary Differential Equations Directly.
... diferential equation asso- ciated with its initial or boundary conditions ...diferential equation, known as Korteweg-de Vries (KdV) equation, has been used to describe several wave phenomena ...
9
Directory UMM :Journals:Journal_of_mathematics:OTHER:
... intersecting at the origin. The equation changes its type from elliptic to hyperbolic or vice versa when crossed one of these lines. The equation degenerates on this line. (See the following figure of the ...
26
sigma11-028. 355KB Jun 04 2011 12:10:50 AM
... Gambier equation this means that if one contents oneself with linearizability no constraints on the free functions do exist and as a matter of fact n does not have to be ...
15
Staff Site Universitas Negeri Yogyakarta
... of differential equation, first order differential equations, separable equations, homogeneous equations, Bernoulli equations, modelling with first order equations, exact equations and integrating ...
2
Finite Difference Methods in Financial Engineering A Partial Differential Equation Approach 0470858826
... This chapter discusses the following topics. In section 2 we motivate MOC by applying it to a first-order scalar hyperbolic equation. It is useful to understand this problem because it is an essential component ...
442
Directory UMM :Journals:Journal_of_mathematics:EJQTDE:
... During the last few decades, there has been extensive improvement in the oscillation theory of neutral difference/differential/dynamic equations, which are defined as equations in which the highest order ...
14
Directory UMM :Journals:Journal_of_mathematics:EJQTDE:
... Consider an equation which has solutions on the surface of a torus so that they are everywhere dense (see for example [9]). This can be achieved by choosing the solutions to be straight lines on the cut-up surface ...
8
Directory UMM :Journals:Journal_of_mathematics:EJQTDE:
... The paper is organized as follows. The first section contains basic notation and definitions. In the second section the Leray–Schauder Degree Theorem is established (Theorem 9) for the well–ordered case, which is used to ...
22
Ordinary and Partial Differential Equation Routines in C, C , Fortran, Java, Maple, and MATLAB
... We have observed by taking nout = 100 fixed Euler steps, the numerical solution agreed with the analytical solution to an accuracy equal to the error tolerance. This agreement happened, however, by taking nout large ...
528
Sillaby for Differential Equation
... of differential equation constitutes a large and very important branch of modern ...Therefore, differential equation is an essential subject to be known for all ...
4
HANDOUT OF DIFFERENTIAL EQUATION 22112010
... a differential equation and what does it signify? Where and how do differential equations originate and of what use are they? Confronted with a differential equation, what does one do ...
66