Necessary and sufficient conditions are established for the existence of a unique holomorphic solution of a boundary-value problem for a system of linear ordinary differential equations with holomorphic coefficients and general linear boundary conditions. A procedure for finding this solution is investigated.
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N. V. Azbelev, I. M. Smolin, and Z. B. Tsalyuk, “On an approximate method for constructing the Cauchy function,” Dokl. Akad. Nauk SSSR,135, No. 3, 479–482 (1960).
K. Ya. Latysheva and N. I. Tereshchenko, Lectures on the Analytical Theory of Differential Equations and Their Applications [in Russian], Kiev, Inst. Mat. Akad. Nauk UkrSSR, (1970).
V. A. Churikov, “A theory on a differential inequality for a linear system of ordinary differential equations,” Ukr. Mat. Zh.,39, No. 4, 538–543 (1987).
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 1, pp. 125–128, January, 1990.
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Churikov, V.A. Solution of a multipoint boundary-value problem for a system of linear ordinary differential equations with holomorphic coefficients. Ukr Math J 42, 113–115 (1990). https://doi.org/10.1007/BF01066373
- Boundary Condition
- Differential Equation
- Ordinary Differential Equation
- Linear Boundary
- Linear Ordinary Differential Equation