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Functional equations occurring in the theory of delayed differential equations

Published online by Cambridge University Press:  17 April 2009

Józef Banaś  and
Stanisław Wędrychowicz
Józef Banaś
Affiliation:
Institute of Mathematics and Physics, Technical University, 35–084 Rzeszów, Poznańska I, Poland.
Stanisław Wędrychowicz
Affiliation:
Institute of Mathematics and Physics, Technical University, 35–084 Rzeszów, Poznańska I, Poland.
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Abstract

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This paper is devoted to duscussion of some functional equations obtained in the theory of delayed differential equations. By means of the Laplace transform distribution solutions of the considered equations are constructed.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 27 , Issue 1 , February 1983 , pp. 83 - 89
Copyright
Copyright © Australian Mathematical Society 1983

References

[1]Banaś, Józef and Wędrychowicz, Stanisław, “On existence and asymptotic behavior of solutions of some functional equations”, Funkcial. Ekvac. (to appear).Google Scholar
[2]Hartman, Philip, Ordinary differential equations (John Wiley & Sons, New York, London, Sydney, 1964).Google Scholar
[3]Kuczma, Marek, Functional equations in a single variable (Monografie Matematiyczne, 46. PWN – Polish Scientific Publishers, Warszawa, 1968).Google Scholar
[4]Mikusiński, Jan, Rachunek operatorów (Monografie Matematyczne, 30. PWN – Polish Scientific Publishers, Warszawa, 1953).Google Scholar
[5]Мышкис, A.д. [Myškis, A.D.], [Linear differential equations with retarded argument], Second edition (izdat. “Nauka”, Moscow, 1972).Google Scholar
[6]Schwartz, Laurent, Théorie des distributions (Publications de l'institut de Mathématique de l'université de Strasbourg, IX–X. Hermann, Paris, 1966).Google Scholar
[7]Smajdor, W., “On the existence and uniqueness of analytic solutions of the functional equation (θ(z) = h(z), θ[f(z)])”, Ann. Polon. Math. 19 (1967), 37–45.CrossRefGoogle Scholar