Literature cited
W. Gröbner, Die Lie-Reihe und ihre Anwendungen, Berlin (1967).
A. N. Filatov, Generalized Lie Series and Their Applications [in Russian], Fan, Tashkent (1963).
A. N. Filatov, “On some classes of operator series and their applications,” in: Questions of Computational Mathematics and Technology [in Russian], No. 4 (1964), pp. 3–165.
P. N. Matveev and A. N. Filatov, “Quasipolynomial functions with integral operators,” Dokl. Akad. Nauk UzSSR, No. 10, 8–9 (1977).
B. A. Bondarenko and A. N. Filatov, Quasipolynomial Functions and Their Applications to Problems of Elasticity Theory [in Russian], Fan, Tashkent (1978).
I. N. Gur'yanov, “On the analytical theory of integrodifferential equations,” in: Research in Integrodifferential Equations in Kirghizia, No. 1 [in Russian] (1961), pp. 251–263.
B. Noble, “The numerical solution of nonlinear integral equations and related topics,” in: Nonlinear Integral Equations, University of Wisconsin Press, Madison, Wisc. (1964), pp. 215–318.
V. P. Igumnov, “A theorem on differentiation of a superposition of functions of several variables,” in: Mathematics, Some of Its Applications and Methodology of Teaching [in Russian], Rostov Pedagogical Institute, Rostov-on-Don (1973), pp. 46–48.
O. M. Gvozdetskii and V. P. Igumnov, “On representation of solutions of ordinary differential equations as Lie series,” Ukr. Mat. Zh.,38, No. 2, 218–220 (1986).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 8, pp. 1135–1137, August, 1989.
Rights and permissions
About this article
Cite this article
Igumnov, V.P. Construction of solutions of systems of integrodifferential equations as lie series. Ukr Math J 41, 980–982 (1989). https://doi.org/10.1007/BF01058320
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01058320