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A nonlocal boundary-value problem for an equation of fourth order - MaRDI portal

A nonlocal boundary-value problem for an equation of fourth order (Q1094591)

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scientific article; zbMATH DE number 4025990
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A nonlocal boundary-value problem for an equation of fourth order
scientific article; zbMATH DE number 4025990

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    A nonlocal boundary-value problem for an equation of fourth order (English)
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    1986
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    For the equation \(M^*Mu+e(x,y)u=f\), where \(Mu=k(y)u_{xx}- u_{yy}+au_ x+bu_ y+cu\) \((M^*\) is the formal adjoint) the author states a nonlocal boundary value problem and proves the existence and uniqueness of the solution of this problem.
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    nonlocal boundary value problem
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    existence
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    uniqueness
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