The asymptotic behavior of an integral equation with an application to Volterra's population equation
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This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1974-12-01 and is currently open access. It has received 6 citations till now. The article focuses on the topics: Volterra integral equation & Integral equation.read more
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Constant rate harvesting of populations governed by Volterra integral equations
Fred Brauer,Fred Brauer +1 more
TL;DR: In this paper, the effect of harvesting on an ODE model has been examined, and it is shown that the effect is similar to that of harvesting in an ordinary differential equation model.
Journal ArticleDOI
On the asymptotic spectra of the bounded solutions of a nonlinear Volterra equation
TL;DR: In this article, the authors considered the asymptotic behavior of the bounded solutions of a nonlinear Volterra integrodifferential equation with a positive definite convolution kernel.
Journal ArticleDOI
Some new observations on the classical logistic equation with heredity
Jay I. Frankel,S. Roy Choudhury +1 more
TL;DR: In this article, the authors proposed a new differential formulation where the dependent variable is now defined in terms of the integral of the unknown population, which allows them to develop novel analyses leading to enlightening results.
Journal ArticleDOI
Global asymptotic stability in a class of Volterra-Stieltjes integrodifferential systems
TL;DR: A set of "easily verifiable" sufficient conditions for the global asymptotic stability of a positive steady state of a system of the form is derived in this paper.
References
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Book
Partial Differential Equations
TL;DR: In this paper, the authors present a theory for linear PDEs: Sobolev spaces Second-order elliptic equations Linear evolution equations, Hamilton-Jacobi equations and systems of conservation laws.
Journal ArticleDOI
On the asymptotic behavior of the bounded solutions of some integral equations, II☆☆☆
J.J Levin,D.F. Shea +1 more
Journal ArticleDOI
On the solutions of a nonlinear Volterra equation
TL;DR: In this article, a real nonlinear Volterra equation is given by: where b(t, f(t), g(x) are given real functions and there exists a solution x(t) on 0 ≤ t ≤ ∞.