Results 111 to 120 of about 149 (133)
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Applicable Analysis, 2017
AbstractThis article deals with a control system governed by a semilinear nonlocal fractional evolution inclusion with Clarke subdifferential and its optimal control. First we establish an existence theorem of the mild solution for the presented control system by applying the measure of noncompactness, a fixed point theorem of a condensing multivalued ...
Jen-Chih Yao, Nan-Jing Huang
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AbstractThis article deals with a control system governed by a semilinear nonlocal fractional evolution inclusion with Clarke subdifferential and its optimal control. First we establish an existence theorem of the mild solution for the presented control system by applying the measure of noncompactness, a fixed point theorem of a condensing multivalued ...
Jen-Chih Yao, Nan-Jing Huang
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Nonlinear Analysis: Theory, Methods & Applications, 2012
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Integral of the Clarke subdifferential mapping and a generalized Newton–Leibniz formula
Nonlinear Analysis: Theory, Methods & Applications, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mathematical Methods in the Applied Sciences, 2016
This article investigates the solvability and optimal controls of systems monitored by fractional delay evolution inclusions with Clarke subdifferential type. By applying a fixed‐point theorem of condensing multivalued maps and some properties of Clarke subdifferential, an existence theorem concerned with the mild solution for the system is proved ...
Jiang, Yi-Rong, Huang, Nan-Jing
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This article investigates the solvability and optimal controls of systems monitored by fractional delay evolution inclusions with Clarke subdifferential type. By applying a fixed‐point theorem of condensing multivalued maps and some properties of Clarke subdifferential, an existence theorem concerned with the mild solution for the system is proved ...
Jiang, Yi-Rong, Huang, Nan-Jing
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Applied Mathematics & Optimization, 2021
In this paper, the author studies the time optimal control of Clarke subdifferential type stochastic evolution inclusions with delay and non-instantaneous impulses of the form \[ d[x(t)-G(t,x_{t})] \in A(t)[x(t)-G(t,x_{t})]dt+B(t)u(t)dt+\partial F(t,x_{t})dw(t) t\in (s_{i},t_{i+1}], i=0,1,\dots,N,\] \[ x(t)\in g_{i}(t,x_{t}), t\in(t_{i},s_{i}], i=1 ...
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In this paper, the author studies the time optimal control of Clarke subdifferential type stochastic evolution inclusions with delay and non-instantaneous impulses of the form \[ d[x(t)-G(t,x_{t})] \in A(t)[x(t)-G(t,x_{t})]dt+B(t)u(t)dt+\partial F(t,x_{t})dw(t) t\in (s_{i},t_{i+1}], i=0,1,\dots,N,\] \[ x(t)\in g_{i}(t,x_{t}), t\in(t_{i},s_{i}], i=1 ...
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Journal of Computational and Applied Mathematics, 2018
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Optimal control of fractional non-autonomous evolution inclusions with Clarke subdifferential
Fractional Calculus and Applied AnalysisXinge Liu, Xuemei Li, Liu Xinge
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A Survey of Clarke’s Subdifferential and the Differentiability of Locally Lipschitz Functions
1999We survey the theory developed around the Clarke subdifferential to study the variety of differentiability properties of real-valued locally Lipschitz functions on Banach spaces.
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Results in Mathematics, 2018
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