Literature cited
A. N. Sharkovskii, Yu. L. Maistrenko, and E. Yu. Romanenko, Difference Equations and Their Applications [in Russian], Naukova Dumka, Kiev (1986).
R. Bellman and K. Cooke, Differential-Difference Equations, Academic Press, New York (1963).
L. Fox, D. F. Mayer, J. R. Ockendon, and A. B. Taylor, “On a functional differential equation,” J. Inst. Math. and Appl.,8, No. 3, 271–307 (1971).
V. G. Nikitin, Periodic Solutions of Linear Functional and Functional-Differential Equations with Linearly Deviating Argument, Author's Abstract of Candidate's Dissertation, Kazan' (1987).
V. G. Nikitin, “Unique solvability of the functional equation u(t) — au(qt)=f(t),” Issled. Prikl. Mat., Kazan' Univ., No. 11, part 1, 96–109 (1984).
V. S. Mokeichev, Differential Equations with Deviating Arguments [in Russian], Izd. Kazan. Univ., Kazan' (1985).
N. P. Evlampiev, Periodic Solution of q-Difference Functional Equation in Rn [in Russian], Kazan. Univ., Kazan' (1985). Unpublished manuscript, VINITI No. 5367-85, 24 July 1985.
N. P. Evlampiev, Relationship between the Equation of Vibration of a String and q-Difference Functional Equation [in Russian], Kazan. Univ., Kazan' (1987). Unpublished manuscript, VINITI No. 4640-V87, 25 June 1987.
Additional information
Translated from Issledovaniya po Prikladnoi Matematike, No. 16, pp. 125–131, 1989.
Rights and permissions
About this article
Cite this article
Evlampiev, N.P. Periodic solutions of a functional equation with linearly deviating argument. J Math Sci 61, 2472–2476 (1992). https://doi.org/10.1007/BF01100585
Issue Date:
DOI: https://doi.org/10.1007/BF01100585