Linear Equations in Banach Spaces
S. G. Krein, "Linear Equations in Banach Spaces"
1982 | pages: 118 | ISBN: 0817631011 | DJVU | 2,9 mb
1982 | pages: 118 | ISBN: 0817631011 | DJVU | 2,9 mb
This slim volume contains a general theory of linear equations in Banach spaces with applications to differential and integral equations. It contains a detailed analysis of the uniqueness and correctness problem9 of over-determined and under-determined equations, connections between the equation and its conjugate. Different transformations of linear equations are considered. Some sections deal with problems of stability and apriori estimates. Different classes of equations, such as Fredholm equations, Noether equations9 and others are considered. Applications are given to Fredholm integral equations, Volterra integral equations, boundary problems for linear differential equations of hiaher orders, and boundary problems for elliptic partial differential equations.
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