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Convergence of solutions for two delays Volterra integral equations in the critical case

Academic Article
Publication Date:
2010
abstract:
In this paper, for the "critical case" with two delays, we establish two relations between any two solutions y(t) and y*(t) for the Volterra integral equation of non-convolution type y(t)=f(t)+\int_{t-\tau}^{t-\delta}k(t,s)g(y(s))ds and a solution z(t) of the first order differential equation \dot z(t)=\beta(t)[z(t-\delta)-z(t-\tau) , and offer a sufficient condition that limt->+?(y(t)-y*(t))=0.
Iris type:
01.01 Articolo in rivista
Keywords:
Volterra integral equation with delays; Convergence of solution; Critical case; Unbounded solution
List of contributors:
Vecchio, Antonia
Handle:
https://iris.cnr.it/handle/20.500.14243/116573
Published in:
APPLIED MATHEMATICS LETTERS
Journal
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