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High order differential equations with integral boundary condition. (English) Zbl 1102.35329

Summary: We study a problem for a high-order differential equation with nonclassical boundary condition. The existence and uniqueness of the strong solution in a functional weighted Sobolev space are established. The proof is based on two sided a priori estimates and the fact that the range of the operator geneated by the considered problem is dense.

MSC:

35K35 Initial-boundary value problems for higher-order parabolic equations
35B45 A priori estimates in context of PDEs
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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