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The problem with nonlocal conditions for partial differential equation perturbed by a nonlinear integro-differential summand. (Ukrainian) Zbl 0929.35003

Summary: Well-posedness of the classical solution of the problem with nonlocal two-point conditions for a typeless linear partial differential operator with variable coefficients perturbed by a nonlinear integro-differential operator in a tube domain is investigated.

MSC:

35A05 General existence and uniqueness theorems (PDE) (MSC2000)
45K05 Integro-partial differential equations
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