## A generalization of the Ascoli theorem and an application to functional differential equations.(English)Zbl 0215.19501

### MSC:

 46A19 Other “topological” linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than $$\mathbb{R}$$, etc.) 46A50 Compactness in topological linear spaces; angelic spaces, etc.
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### References:

 [1] Ambrosetti, A, Un teorema di esistenza per le equazioni differenziali sugli spazi di Banach, (), 349-361 · Zbl 0174.46001 [2] Ascoli, G, Le curve limite di una varieta data di curve, Mem. accad. lincei, 18, 521-586, (1883) · JFM 16.0342.02 [3] Bellman, R; Cooke, K, Differential-difference equations, (1963), New York [4] Darbo, G, Punti uniti in trasformazioni a condiminio non compatto, (), 84-92 · Zbl 0064.35704 [5] Driver, R, Existence and continuous dependence of solutions of a neutral functional-differential equation, Arch. rat. mech. anal., 19, 144-166, (1965) · Zbl 0148.05703 [6] Goldenstein, L; Markus, A, Math. reviews, 35, 789, (Jan.-March, 1968), (p. 153) [7] Hale, J; LaSalle, J, Differential equations and dynamical systems, (1967), New York · Zbl 0211.39602 [8] Kuratowski, C, Sur LES espaces complets, Fund. math., 15, 301-309, (1930) · JFM 56.1124.04 [9] Michael, E, Topologies on spaces of subsets, Trans. amer. math. soc., 71, 152-182, (1951) · Zbl 0043.37902 [10] Oguztorelli, M, Time-lag control systems, (1966), New York [11] Nussbaum, R, The fixed point index and fixed point theorems for k-set-contractions, (1969), University of Chicago, Unpublished Ph.D. dissertation · Zbl 0174.45402 [12] Nussbaum, R, The fixed point index and asymptotic fixed point theorems for k-set-contractions, Bull. amer. math. soc., 75, 490-495, (1969) · Zbl 0174.45402
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