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Evolution inclusions in Hilbert spaces

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Inclusive fitness in evolution

Nature, 2011
Arising from M. A. Nowak, C. E. Tarnita & E. O. Wilson , 1057–1062 (2010)10.1038/nature09205 ; Nowak et al. reply For over fifty years, the evolution of social behaviour has been guided by the concept of inclusive fitness as a measure of ...
Regis Ferriere, Richard E. Michod
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Generalized Solutions of Semilinear Evolution Inclusions

SIAM Journal on Optimization, 2016
Let \(X\) be a Banach space and let \(I = [t_0,T]\subset \mathbb R\). This paper is devoted to the study of the limits of approximate solutions, called limit solutions, for semilinear evolution inclusions of the following form \[ x'\in Ax + F(t, x), \] where \(A: D(A)\subset X\to X\) is an unbounded linear operator that generates a \(C_0\)-semigroup \(\
Cârjă, O., Donchev, T., Lazu, A. I.
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Singularly Perturbed Evolution Inclusions

SIAM Journal on Control and Optimization, 2010
Consider the control system \[ \dot{x}(t)+ A_{1}x \in F(x,y,u(t)),\quad x(0) = x^{0}\in H_{1},\quad u(t)\in U, \tag{1} \] \[ \varepsilon\dot{y}(t)+ A_{2}y \in G(x,y,u(t)),\quad y(0) = y^{0}\in H_2,\quad t\in [0,1], \tag{2} \] where \(F:H_{1}\times H_{2}\times U \rightrightarrows H_{1}\), \(G:H_{1}\times H_{2}\times U \rightrightarrows H_{2}\) are ...
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Evolution Integro-Differential Inclusions

Set-Valued and Variational Analysis
In this paper, authors provided existence and uniqueness results of local/global solution for a new evolution inclusion governed by the subdifferential of a function \(\varphi\) perturbed both by a Carathéodory mapping and by an integral forcing term.
Abderrahim Bouach, Tahar Haddad, Lionel Thibault   +2 more
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Impulsive Evolution Inclusions

2017
In this chapter, the existence of mild solutions for impulsive differential inclusions in a reflexive Banach space is obtained. Weakly compact valued nonlinear terms are considered, combined with strongly continuous evolution operators generated by the linear part.
Yong Zhou, Rong-Nian Wang, Li Peng
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Stochastic Evolution Inclusions

2017
In this chapter, we investigate the topological structure of solution sets for stochastic evolution inclusions in Hilbert spaces in cases that semigroup is compact and noncompact, respectively. It is shown that the solution set is nonempty, compact and \(R_\delta \) -set which means that the solution set may not be a singleton but, from the point of ...
Yong Zhou, Rong-Nian Wang, Li Peng
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The Evolution of Secondary Inclusion

Remedial and Special Education, 1997
This article offers an alternative “Circle of Courage” paradigm of education, derived from Native American culture, for creating inclusive high schools that welcome, value, support, and facilitate the learning of adolescents with differing abilities.
Jacqueline Thousand, Richard L. Rosenberg, Kathryn D. Bishop, Richard A. Villa   +3 more
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Championing inclusive terminology in ecology and evolution

Trends in Ecology & Evolution, 2023
Amid 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, Kaitlyn M. Gaynor, Alex C. Moore, Kathy Darragh, Cesar O. Estien, J.W. Hammond, Christopher Lawrence, Kirby L. Mills, Marcella D. Baiz, Danielle Ignace, Lily Khadempour, Matthew A. McCary, Mallory M. Rice, Shersingh Joseph Tumber-Dávila, Justine A. Smith   +14 more
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