2019
Том 71
№ 11

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A multipoint problem for partial integro-differential equations

Ptashnik B. I., Vasylyshyn P. B.

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Abstract

We investigate a multipoint problem for a linear typeless partial differential operator with variable coefficients that is perturbed by a nonlinear integro-differential term. We establish conditions for the unique existence of a solution. We prove metric theorems on lower bounds of small denominators that arise in the course of investigation of the problem of solvability.

English version (Springer): Ukrainian Mathematical Journal 50 (1998), no. 9, pp 1321-1336.

Citation Example: Ptashnik B. I., Vasylyshyn P. B. A multipoint problem for partial integro-differential equations // Ukr. Mat. Zh. - 1998. - 50, № 9. - pp. 1155–1168.

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