In this paper the controllable system whose behaviour is described by a nonlinear Volterra integral equation, is studied. The set of admissible control functions is the closed ball of the space Lp(p > 1) with radius µ0 and centered at the origin. It is shown that the set of trajectories of the system is a bounded and precompact subset of the space of continuous functions.
Huseyin, A., & Huseyin, N. (2012). Precompactness of the set of trajectories of the controllable system described by a nonlinear Volterra integral equation. Mathematical Modelling and Analysis, 17(5), 686-695. https://doi.org/10.3846/13926292.2012.736088
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