Browsing Sivas Cumhuriyet Üniversitesi Fen Fakültesi by Publisher "Walter de Gruyter GmbH"
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On the continuity properties of the L_p balls.
(Walter de Gruyter GmbH, 11.04.2023)In this paper the right upper semicontinuity at p = 1 and continuity at p = ∞ of the set-valued map p → B_{Ω,X,p}(r), p ∈ [1, ∞], are studied where B_{Ω,X,p}(r) is the closed ball of the space L_p(Ω, Σ, μ; X) centered at ... -
On the p-integrable trajectories of the nonlinear control system described by Urysohn type integral equation
(Walter de Gruyter GmbH, 11.10.2022)The control systems described by the Urysohn-type integral equations and integral constraints on the control functions are considered. The functions from the closed ball of the space $L_p$, $p>1$, with radius $r$, are ...