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A compactness result for differentiable functions with an application to boundary value problems |
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| Authors: | Filomena Cianciaruso Vittorio Colao Giuseppe Marino Hong-Kun Xu |
| Affiliation: | 1. Dipartimento di Matematica, Universitá della Calabria, 87036, Arcavacata di Rende, CS, Italy 2. Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, 80424, Taiwan 3. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia |
| Abstract: | We characterize the relative compactness of subsets of the space ${mathcal{BC}^m([0,+infty [;E)}$ of bounded and m-differentiable functions defined on [0, +∞[ 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. |
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