0 |f(s)|ds ≤ |t| ≤ 1. Therefore the image of Bp is (uniformly) bounded. By Arzela-Ascoli, V : L p[0, 1]→ C[0, 1] is compact. The preceeding argument does not go through when V acts on L1[0, 1]. In this case equicontinuity fails, as is demonstrated by the following family {fn} ⊂ B1: fn(s) = n1[0,1/n](s). This suffices to preclude compactness of V ; in particular, V fn has no Cauchy subsequence. ...

Sufficent conditions for controllability of nonlinear neutral Volterra integrodifferential systems are established. Controllability of an infinite-delay neutral Volterra system is also considered.

The conditions are investigated under which delay in ratio-dependent predatorprey systems cannot cause instability in higher dimension. We give an example when delay causes instability. Dedicated to the memory of Professor Miklós FARKAS 1 Model without delay ẋ = rxg(x,K)− n ∑

This paper discusses the differences in performance and behavior of emotional and non-emotional agents in a predatorprey environment. Using the prototypes of van Kesteren[vK01] and Burghouts[Bur02] it was concluded that while the behavior of the emotional agents is more believable, emotions also negatively influences the performance of the agents.

The main purpose of this work is to provide a novel numerical approach for the Volterra integral equations based on a spectral approach. A Legendre-collocation method is proposed to solve the Volterra integral equations of the second kind. We provide a rigorous error analysis for the proposed method, which indicate that the numerical errors (in the infinity norm) will decay exponentially provid...

this paper presents a computational method for solving two types of integro-differential equations, system of nonlinear high order volterra-fredholm integro-differential equation(vfides) and nonlinear fractional order integro-differential equations. our tools for this aims is operational matrices of integration and fractional integration. by this method the given problems reduce to solve a syst...

and hosti 013.02.0 Abstract A numerical method based on an NM-set of general, hybrid of block-pulse function and Taylor series (HBT), is proposed to approximate the solution of nonlinear Volterra–Fredholm integral equations. The properties of HBT are first presented. Also, the operational matrix of integration together with Newton-Cotes nodes are utilized to reduce the computation of nonlinear ...

By using the continuation theorem of coincidence degree theory, sufficient and realistic conditions are obtained for the existence of positive periodic solutions for both periodic Lotka Volterra equations and systems with distributed or statedependent delays. Our results substantially extend and improve existing results. 2001 Academic Press

M. MARVÁ†, J.C. POGGIALE∗, R.BRAVO DE LA PARRA†. †Departamento de Matemáticas, Universidad de Alcalá. 28871, Alcalá de Henares, Spain [email protected], [email protected] ∗Laboratoire de Microbiologie, Geochimie et dEcologie Marines, UMR 6117, Centre dOceanologie de Marseille (OSU), Universite de la Mediterranee, Case 901, Campus de Luminy 13288 Marseille Cedex 9, France Jean-Christophe.Pog...

In this paper, we study a Lotka-Volterra prey-predator system with feedback control. We establish sufficient conditions under which a unique positive equilibrium is globally stable. Further, we show that a suitable feedback control on predator species can make prey species that is on the brink of extinction become globally stable, but under the conditions of small feedback control on predator, ...