SOLVABILITY OF THE NEUMANN PROBLEM FOR SOME CLASSES OF IMPROPERLY ELLIPTIC FOURTH ORDER EQUATIONS

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Published: Feb 28, 2016
Keywords:
improperly elliptic equations, properly elliptic equations, fourth order partial differential equations, Neumann problem, Dirichlet problem, kernel, Chebyshev`s polynomials

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K. O. Buryachenko

Abstract

There have been explored and established the sufficient conditions of solvability of the Neumann problem for one class of improperly elliptic fourth-order general equations in a disk K in space C4(K)∩C3,α (K).With the help of Chebyshev`s polynomials we build solutions of the Neumann problem.

Article Details

Issue
Vol. 349 No. 16 (2015)
Section
Mathematical and Calculation Physics

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