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.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 9, pp. 1155–1168, September, 1998.
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Vasylyshyn, P.B., Ptashnyk, B.I. A multipoint problem for partial integro-differential equations. Ukr Math J 50, 1321–1336 (1998). https://doi.org/10.1007/BF02525240
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DOI: https://doi.org/10.1007/BF02525240