Abstract
Developing a numerical-analytic method, conditions are determined for the existence of solutions of two-point problems for systems of hyperbolic equations of the form\(\partial ^2 u(t, x)/\partial t\partial x = P(t, x)u(t, x) + f(t, x, u(t, x), u_t '(t , x))\).
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
Yu. A. Mitropol'skii and B. P. Tkach, “Periodic solutions of nonlinear systems of partial differential equations of neutral type,” Ukr. Mat. Zh.,21, No. 4, 479–486 (1969).
V. Ya. Skorobogat'ko, Investigation in the Qualitative Theory of Partial Differential Equations [in Russian], Naukova Dumka, Kiev (1980).
A. M. Samoilenko and N. I. Ronto, Numerical-Analytic Methods for Investigating the Solutions of Boundary Value Problems [in Russian], Naukova Dumka, Kiev (1986).
B. I. Ptashnik, Ill-Posed Boundary Value Problems for Partial Differential Equations [in Russian], Naukova Dumka, Kiev (1984).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 12, pp. 1657–1663, December, 1990.
Rights and permissions
About this article
Cite this article
Mitropol'skii, Y.A., Urmancheva, L.B. A two-point problem for systems of hyperbolic equations. Ukr Math J 42, 1492–1498 (1990). https://doi.org/10.1007/BF01060820
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01060820