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Titlebook: Applied Analysis; Allan M. Krall Book 1986 D. Reidel Publishing Company, Dordrecht, Holland 1986 Banach fixed-point theorem.Hilbert space.

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楼主: Fuctionary
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Existence and Uniqueness Theorems, setting of the previous chapter, a Banach space, and a device known as a contraction mapping. The results are then applied to an integral equation. These are in turn applied to certain ordinary differential equations. Finally, the results are extended and refined.
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Special Functions,ind. We are for the most part interested in the Legendre, Laguerre, and Hermite polynomials. However, our first few results also apply to such polynomials as those of Jacobi and Gegenbauer with only minor modifications.
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https://doi.org/10.1007/978-3-030-56849-8This is the first of two chapters concerning linear systems and equations. We have already established the unique existence of solutions to initial value problems concerning them. However, because of their linear nature we can say much more by using the framework of the linear space.
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Linear Ordinary Differential Equations,This is the first of two chapters concerning linear systems and equations. We have already established the unique existence of solutions to initial value problems concerning them. However, because of their linear nature we can say much more by using the framework of the linear space.
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