Results 291 to 300 of about 4,368,379 (347)

Sensitivity analysis for optimal control problems described by nonlinear fractional evolution inclusions

Fractional Calculus and Applied Analysis, 2018
In this paper, a sensitivity analysis of optimal control problem for a class of systems described by nonlinear fractional evolution inclusions (NFEIs, for short) on Banach spaces is investigated.
Xiuwen Li, Yunxiang Li, Zhenhai Liu, Jing Li   +3 more
semanticscholar   +1 more source

Quasi-autonomous Evolution Inclusions

2017
This chapter deals with a kind of semilinear differential inclusions in general Banach spaces . Firstly, we study different types of generalized solutions including limit and weak solutions . Under appropriate assumptions, we show that the set of the limit solutions is a compact \(R_\delta \) -set.
Yong Zhou, Rong-Nian Wang, Li Peng
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Subdifferential Evolution Inclusion in Nonconvex Analysis

Positivity, 2000
Existence, uniqueness and regularity of solutions to the evolution inclusion \(0\in U'(t)+ \partial(g\circ F)(U(t))\), \(U(0)= u_0\) are proved. Here \(g: X\to \mathbb{R}\cup\{\infty\}\) is a closed convex proper function with \(X\) a Hilbert space, \(F: Y\to X\) is a continuously differentiable mapping whose Jacobian is locally Lipschitz continuous, \(
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Solutions of evolution inclusions. I

Siberian Mathematical Journal, 1992
See the review in Zbl 0770.34042.
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Discrete Approximations and Optimization of Evolution Inclusions

Set-Valued and Variational Analysis, 2011
Given an evolution triple \(X\subset H \subset X^*\), where \(H\) is a separable Hilbert space and \(X\) is a separable and reflexive Banach space embedded compactly and densely into \(H\). The authors consider the evolution inclusion \[ \dot{x}(t)+Ax(t)\in F(t,x),\;x(0)=x_0\in H,\;t\in [0,1].
Din, Qamar, Donchev, Tzanko
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PERTURBED NONLINEAR EVOLUTION INCLUSIONS IN BANACH SPACES

Acta Mathematica Scientia, 1995
The paper concerns existence of integral solutions to the differential inclusion \(u'(t) \in Au(t) + F(t,u(t))\) where \(A\) is an \(m\)-dissipative operator which generates an equicontinuous semigroup on \(\overline {D(A)}\) and \((t,x) \to F(t,x)\) is a \((t,x)\)-measurable, \(x\)-lower semicontinuous set-valued map.
Xue, Xingmei, Song, Gouzhu
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Optimal control of evolution inclusions

Nonlinear Analysis: Theory, Methods & Applications, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Directionally Continuous Selections and Nonconvex Evolution Inclusions

Set-Valued Analysis, 2003
In [\textit{A. Bressan} and \textit{V. Staicu}, Set-Valued Anal. 2, No. 3, 415-437 (1994; Zbl 0820.47072)], the evolution inclusion in a Banach space \[ \dot x\in Ax+ F(t,x)\tag{1} \] is considered, in which \(A\) is assumed to generate a contractive semigroup on \(\text{cl}(D(A))\), \(F\) is assumed to be bounded, lower semicontinuous and closed ...
Cernea, Aurelian, Vasile, Staicu
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Controllability of Fractional Evolution Inclusions with Noninstantaneous Impulses

International journal of nonlinear sciences and numerical simulation, 2018
This paper is concerned with the controllability issue of fractional semilinear evolution inclusions with noninstantaneous impulses. Using weak sequentially closed graph operators, we establish sufficient conditions to guarantee controllability results ...
Jinrong Wang, A. Ibrahim, Donal O’Regan   +2 more
semanticscholar   +1 more source

The evolution of kin inclusivity levels

Proceedings of the 2014 Annual Conference on Genetic and Evolutionary Computation, 2014
Altruism is a ubiquitous strategy among organisms ranging from microbes to mammals. Inclusive fitness theory indicates that altruistic strategies can be beneficial when an altruist acts to benefit organisms that share its genes. It is common for such altruistic strategies to be negatively affected by cheaters that do not act altruistically.
Anya E. Johnson, Heather J. Goldsby, Sherri Goings, Charles Ofria   +3 more
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