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The Evolution of Secondary Inclusion
Remedial and Special Education, 1997This 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 +3 more
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Inclusive fitness in evolution
Nature, 2011Arising 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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Singularly Perturbed Evolution Inclusions
SIAM Journal on Control and Optimization, 2010Consider 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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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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Evolution Integro-Differential Inclusions
Set-Valued and Variational AnalysisIn 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 +2 more
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Impulsive Evolution Inclusions
2017In 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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Controllability of evolution inclusions with nonlocal conditions
Applied Mathematics and Computation, 2003The authors study the following semilinear system: \[ \begin{aligned} & x'(t)- A(t) x(t)\in F(t, x(t))+ (Bu)(t)\qquad\text{a.e.
Guocheng Li, Xiaoping Xue 0001
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On the trajectories of controlled evolution inclusions
Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1990The author studies a nonlinear controlled evolution inclusion with control constraints. The existence of optimal admissible pairs is established. Then the weak continuity of the solution is proved with respect to the control function. For linear problems the case of controlled coefficients is studied by means of the concept of \(G\)- convergence.
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Stochastic Evolution Inclusions
2017In 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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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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