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ODE; two-point boundary value problem; transfer of boundary conditions; self-adjoint differential equation; numerical solution; Riccati differential equation

References:

[1] N. I. Akhiezer, I. M. Glazman: **Theory of Linear Operators in Hilbert Space**. Pitman, Boston, 1981.

[2] N. J. Higham: **Accuracy and Stability of Numerical Algorithms**. SIAM, Philadelphia, 1996. MR 1368629 | Zbl 0847.65010

[3] G. H. Meyer: **Initial Value Methods for Boundary Value Problems. Theory and Applications of Invariant Imbedding**. Academic Press, New York, 1973. MR 0488791

[4] W. T. Reid: **Riccati Differential Equations**. Academic Press, New York, 1972. MR 0357936 | Zbl 0254.34003

[5] M. R. Scott: **Invariant Imbedding and its Applications to Ordinary Differential Equations. An Introduction**. Addison-Wesley Publishing Company, , 1973. MR 0351102 | Zbl 0271.34001

[6] J. Taufer: **Lösung der Randwertprobleme für Systeme von linearen Differentialgleichungen**. Rozpravy Československé akademie věd, Řada Mat. přírod. věd 83 (1973). Zbl 0276.34009

[7] J. Taufer: **Solution of Boundary Value Problems for Systems of Linear Differential Equations**. Nauka, Moscow, 1981. (Russian) MR 0635932 | Zbl 0516.34002