Abstract
We consider and justify a spline-iteration method for solving Volterra integral equations of the second kind with small nonlinearities.
References
A. Yu. Luchka,Projective-Iteration Methods for Solution of Differential and Integral Equations [in Russian], Naukova Dumka, Kiev (1980).
A. Yu. Luchka, “A spline-iteration method for linear Volterra integral equations of the second kind,” in:Parametric Differential Equations [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1989), pp. 35–47.
S. A. Kril',Solution of Integral Difference Equations with Small Nonlinearities by the Projective-Iteration Method [in Russian], Preprint 87.17, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1987).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 4, pp. 433–437, April, 1994.
Rights and permissions
About this article
Cite this article
Luchka, A.Y., Mamatov, T.D. Solution of volterra integral equations of the second kind with small nonlinearities by a spline-iteration method. Ukr Math J 46, 458–463 (1994). https://doi.org/10.1007/BF01060417
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01060417