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Championing inclusive terminology in ecology and evolution
Trends in Ecology & Evolution, 2023Amid a growing disciplinary commitment to inclusion in ecology and evolutionary biology (EEB), it is critical to consider how the use of scientific language can harm members of our research community. Here, we outline a path for identifying and revising harmful terminology to foster inclusion in EEB.
Susan J. Cheng +14 more
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Solutions of nonlinear evolution inclusions
Nonlinear Analysis: Theory, Methods & Applications, 1999Generalizing recent results by \textit{N. U. Ahmed} and \textit{X. Xiang} [Nonlinear Anal., Theory Methods Appl. 22, No. 1, 81-89 (1994; Zbl 0806.34051)], \textit{J. Berkovits} and \textit{V. Mustonen} [ibid. 27, No. 12, 1397-1405 (1996; Zbl 0894.34055)] and by \textit{H. Hirano} [ibid. 13, No.
Bian, W, Webb, J R L
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Neutral Functional Evolution Inclusions
2017This chapter deals with functional evolution inclusions of neutral type in Banach space when the semigroup is compact as well as noncompact. The topological properties of the solution set is investigated. It is shown that the solution set is nonempty, compact and an \(R_\delta \) -set which means that the solution set may not be a singleton but, from ...
Yong Zhou, Rong-Nian Wang, Li Peng
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Quasi-autonomous Evolution Inclusions
2017This 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, 2000Existence, 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, 1992See the review in Zbl 0770.34042.
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Discrete Approximations and Optimization of Evolution Inclusions
Set-Valued and Variational Analysis, 2011Given 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, 1995The 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, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Directionally Continuous Selections and Nonconvex Evolution Inclusions
Set-Valued Analysis, 2003In [\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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