Abstract
The problem of existence and approximate construction is studied for the solution of a nonlinear system of differential equations with a transformed argument and linear multipoint boundary conditions.
References
A. M. Samoilenko and N. I. Ronto, Numerical-Analytic Methods of Investigation of Periodic Solutions [in Russian], Vyshcha Shkola, Kiev (1976).
A. M. Samoilenko and N. I. Ronto, Numerical-Analytic Methods in the Theory of Boundary-Value Problems for Ordinary Differential Equations [in Russian], Naukova Dumka, Kiev (1992).
A. M. Samoilenko and N. I. Ronto, Numerical-Analytic Methods of Investigation of Periodic Solutions of Boundary-Value Problems [in Russian], Naukova Dumka, Kiev (1985).
S. V. Yanchuk, Investigation of Nonautonomous Differential Equations and Chua Systems [in Ukrainian], Candidate Degree Thesis (Physics and Mathematics), Kiev (1997).
A. Augustynowicz and M. Kwapisz. “On a numerical-analytic method of solving of boundary-value problem for functional differential equation of neutral type,” Math. Nachr., 145, 255–269 (1990).
M. Kwapisz, “Some remarks on an integral equation arising in applications of numerical-analytic method of solving boundary-value problems,” Ukr. Mat. Zh., 44, No. 1, 128–132 (1992).
E. P. Trofimchuk and A. V. Kovalenko, “Numerical-analytic method of A. Samoilenko without a determining equation,” Ukr. Mat. Zh., 47, No. 1, 138–140 (1995).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 11, pp. 1581–1584, November, 1998.
Rights and permissions
About this article
Cite this article
Filipchuk, M.P., Bigun, Y.I. Numerical-analytic method for the investigation of multipoint boundary-value problems for systems of differential equations with transformed argument. Ukr Math J 50, 1805–1810 (1998). https://doi.org/10.1007/BF02524491
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02524491