Multipoint nonlocal problem for factorized equation with dependent coefficients in conditions.

*(English)*Zbl 1326.35080Summary: The conditions of correct solvability of multipoint nonlocal problem for factorized PDE with coefficients in conditions, which depends on one real parameter, is established. It is shown that these conditions on the set of full Lebesgue measure of the interval parameters are fulfilled.

##### MSC:

35G15 | Boundary value problems for linear higher-order PDEs |

11K60 | Diophantine approximation in probabilistic number theory |

##### Keywords:

nonlocal conditions; small denominators; Diophantine approximation; metric estimations; factorized PDE
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\textit{P. B. Vasylyshyn} et al., Carpathian Math. Publ. 7, No. 1, 22--27 (2015; Zbl 1326.35080)

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##### References:

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