Abstract
We establish conditions for the existence and uniqueness of a solution of a problem with multipoint conditions with respect to a selected variable t (in the case of multiple nodes) and periodic conditions with respect to x 1,..., x p for a nonisotropic partial differential equation with constant complex coefficients. We prove metric theorems on lower bounds for small denominators appearing in the course of the solution of this problem.
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Ptashnyk, B.I., Symotyuk, M.M. Multipoint Problem with Multiple Nodes for Partial Differential Equations. Ukrainian Mathematical Journal 55, 481–497 (2003). https://doi.org/10.1023/A:1025881429063
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DOI: https://doi.org/10.1023/A:1025881429063