Abstract
For systems of Volterra equations, the periodicity conditions were established in direct terms of the coefficients of the equations under consideration and their resolvents.
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REFERENCES
Athreya, K.B. and Ney, P.E., Branching Processes, Berlin: Springer, 1972.
Levin, J.J. and Nohel, J.A., The Integro-Differential Equations of a Class of Nuclear Reactors with Delayed Neutrons, Arch. Rat. Mech. Anal., 1968, no. 31, pp. 151–172.
Levinson, N., A Nonlinear Volterra Equation Arising in the Theory of Superfluidity, J. Math. Anal. Appl., 1960, no. 1, pp. 1–11.
Mann, W.R. and Wolf F., Heat Transfer Between Solids and Gases under Nonlinear Boundary Conditions, Quart. Appl. Math., 1951, no. 9, pp. 163–184.
Elaydi, S. and Murakami, S., Asymptotic Stability Versus Exponential Stability in Linear Volterra Difference Equations of Convolution Type, J. Diff. Eq., 1996, no. 2, pp. 401–410.
Brunner, H. and Van der Houwen, P.J., The Numerical Solution of Volterra Equations, Amsterdam: North Holland, 1986.
Lakshmikantham, V. and Trigiante, D., Theory of Difference Equations: Numerical Methods and Applications, New York: Academic, 1988.
Kolmanovskii, V.B., On Asymptotic Properties of the Solutions of Some Volterra Systems, Avtom. Telemekh., 2000, no. 4, pp. 41–50.
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Kolmanovskii, V.B. On Limit Periodicity of the Solutions of Some Volterra Systems. Automation and Remote Control 62, 709–715 (2001). https://doi.org/10.1023/A:1010262521289
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DOI: https://doi.org/10.1023/A:1010262521289