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Showing 1 to 5 of 5 for “"Volterra Equation"”.
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A nonlinear Volterra equation of nonconvolution type
… solutions x(t) of the integrodifferential equation.
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Uniform L¹ behavior for the solution of a volterra equation with a parameter
The solution u=u(t)=u(t,λ) of (E) u′(t)+λ∫<sub>0</sub><sup>t</sup>u(t-τ)(d+a(τ))dτ=0, u(0)=1, t ≥ 0, λ ≥ 1 where d ≥ 0, a is nonnegative, nonincreasing, convex and ∞ ≥ a(0+) > a(∞) = 0 is studied. In particular the question asked is: When is (F) ∫<sub>0</sub><sup>∞</sup><sub>λ ≥ …
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On the asymptotic behaviour of deterministic and stochastic volterra integro-differential equations
… involves studying the asymptotic properties of Volterra integro-differential equations. The type of stability that has been established for this class of equations is important in a variety of real-world problems which involve feedback from the past, and are subject to external random forces. …
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A comparative study of Lotka-Volterra and system dynamics models for simulation of technology industry dynamics
… Multi-mode framework, based on the Lotka-Volterra equation barrowed from biological ecology, provide a rich setting for assessing the interaction between two or more technologies. A more recent approach uses System Dynamics to model the dynamics of innovative industries. A System Dynamics …
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C0-Semigroup Methods for Delay Equations
… zur Verfügung gestellt, die unter anderem auf Volterra-Halbgruppen (die aus Integro-Differentialgleichungen hervorgehen) und Evolutionshalbgruppen (Rückkopplungsgleichungen mit Zeitverzögerung, Transport in Netzwerken) angewendet werden. Im Mittelpunkt des zweiten Teils (Kapitel 3 und 4) steht …