2019
Том 71
№ 11

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On a method for construction of successive approximations for investigation of multipoint boundary-value problems

Perestyuk N. A., Ronto A. M.

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Abstract

We suggest a new scheme of successive approximations. This scheme allows one to study the problem of existence and approximate construction of solutions of nonlinear ordinary differential equations with multipoint linear boundary conditions. This method enables one to study problems both with singular and nonsingular matrices in boundary conditions.

English version (Springer): Ukrainian Mathematical Journal 47 (1995), no. 9, pp 1415-1426.

Citation Example: Perestyuk N. A., Ronto A. M. On a method for construction of successive approximations for investigation of multipoint boundary-value problems // Ukr. Mat. Zh. - 1995. - 47, № 9. - pp. 1243–1253.

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