We characterize the relative compactness of subsets of the space $\BC^m([0,+\infty[;E)$ of bounded and $m$-differentiable functions defined on $[0,+\infty[$ with values in a Banach space $E$. Moreover, we apply this characterization to prove the existence of solutions of a boundary value problem in Banach spaces.
A Compactness Result for Differentiable Functions with an Application to Boundary Value Problems
CIANCIARUSO, Filomena;COLAO, Vittorio;MARINO, Giuseppe;
2013
Abstract
We characterize the relative compactness of subsets of the space $\BC^m([0,+\infty[;E)$ of bounded and $m$-differentiable functions defined on $[0,+\infty[$ with values in a Banach space $E$. Moreover, we apply this characterization to prove the existence of solutions of a boundary value problem in Banach spaces.File in questo prodotto:
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