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Literature cited
A. L. Teptin, “Theorems concerning difference inequalities for n-point difference boundary value problems,” Matem. Sb.,62, No. 3 (1963).
A. P. Teptin, “On some properties of the solutions of linear difference equations approximating differential equations in an interval of nonoscillation,” Differents. Uravnen.,1, No. 4 (1965).
A. L. Teptin and G. V. Gusel'nikova, “On two-sided difference schemes for a boundary value problem of Vallée Poussin,” Izv. Vuzov, Matematika, No. 7 (1970).
V. I. Devyatko, “On a two-sided approximation for the numerical integration of ordinary differential equations,” Zh. Vychisl. Matem. i Matem. Fiz.,3, No. 2 (1963).
A. D. Gorbunov and Ya. A. Shakhov, “On an approximate solution of the Cauchy problem for ordinary differential equations with a preassigned number of true signs,” Zh. Vychisl. Matem. i Matem. Fiz.,3, No. 2 (1963).
I. S. Berezin and N. P. Zhidkov, Computing Methods, Vol. 2, Addison-Wesley, Reading, Mass. (1965).
Yu. I. Kovach, “A certain estimate of the solution of a boundary value problem for a nonlinear system of ordinary differential equations of order 2mi,” Dop. Akad. Nauk URSR, Ser. A, No. 5, 400–403 (1968).
V. S. Ryaben'kii and A. F. Filippov, Stability of Difference Equations [in Russian], Gostekhizdat, Moscow (1956).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 26, No. 6, pp. 809–816, November–December, 1974.
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Ivanitsa, V.V. On a problem concerning difference inequalities for a nonlinear boundary value problem. Ukr Math J 26, 665–670 (1974). https://doi.org/10.1007/BF01085261
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DOI: https://doi.org/10.1007/BF01085261