Abstract. We show that the fourth-order nonlinear ODE which controls the pole dynamics in the general solution of equation P 2 I compatible with the KdV equation exhibits two remarkable properties: (1) it governs the isomonodromy deformations of a 2× 2 matrix linear ODE with polynomial coefficients, and (2) it does not possess the Painlevé property. We also study the properties of the Riemann–H...

In this work we consider a given root of family n-degree polynomials as one-variable function that depends only on the independent term. Then prove satisfies several ordinary differential equations (ODE). More concretely, it simple separated variables ODE, first order generalized Abel ODE degree n−1 and an (n−1)-th linear ODE. Although some our results are not new, approach is self-contained. F...

Abstract : Let be a 2nd order ODE. By Cartan equivalence method, we will study the local equivalence problem under the transformations group of time-fixed coordinates. We are going to solve this problem by an applicable method which has been recognized by R. Gardner, and classify them.   

ODE SWS is a development environment to design Semantic Web Services (SWS) at the knowledge level. ODE SWS describe the service following a problem-solving approach in which the SWS are modeled using tasks, to represent the SWS functional features, and methods, to describe the SWS internal structure. In this paper, we describe the ODE SWS architecture and the capabilities of its graphical inter...

We analyze a time independent integral equation defined on a spatially extended domain which arises in the modeling of neuronal networks. In our survey, the coupling function is oscillatory and the firing rate is a smooth “heaviside-like” function. We will derive an associated fourth order ODE and establish that any bounded solution of the ODE is also a solution of the integral equation. We wil...

I. INTRODUCTION Delay systems occupy a special place within the field of distributed parameter systems. Certain problems for this class of distributed parameter systems lend themselves to more elegant, or even explicit solutions. An enormous wealth of knowledge and research results exists for control of systems with state delays and input delays. Problems with long input delays, for unstable pl...

Although encainide is an effective antiarrhythmic agent, plasma concentrations and pharmacologic effects are not well correlated. One explanation is the generation of active metabolites: while in most patients (extensive metabolizers; EMs) concentrations of the metabolites O-desmethyl encainide (ODE) and 3-methoxy-O-desmethyl encainide (3MODE) are higher than those of encainide, a small subset ...

Monodisperse copper-iron-sulfide (CuFeS2) nanoparticles as the infrared light absorbing material (chalcopyrite, 0.65 eV), were synthesized based on facile, one step heating up method, by dissolving of CuCl, FeCl3 and SC(NH2)2 as precursors in oleylamine (OLA) alone or in combination with oleic acid (OA) and 1-octadecene (ODE) as solvent. The phase, size, morphology, and size distribution were c...