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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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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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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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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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The Evolution of Educational Inclusion
This chapter provides a comprehensive cross-cultural analysis of educational inclusion practices in Poland, Israel, and Arab-Israeli contexts. Following the landmark Salamanca Statement, we focus on the formative period of 1994-2014. We examine the evolution toward inclusive educational frameworks while exposing unique challenges shaped by cultural ...Enas Majadley +3 more
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Evolution Inclusions of the Subdifferential Type
2000In this section we study a second class of evolution inclusions, which are driven by time-dependent subdifferential operators. The t-dependence of the convex function φ(t, ·) is an important feature of our inclusions and general enough to incorporate cases where domφ(t, ·) ⋂ domφ(s, ·) = O for t ≠ s.
Shouchuan Hu, Nikolas S. Papageorgiou
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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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On solutions of evolution inclusions. II
Siberian Mathematical Journal, 1992[For part I see ibid. No. 3, 161-174 (1992; Zbl 0770.34042).] Properties of the sets \({\mathcal H} (x_ 0)\) of solutions of differential inclusions \(\dot x(t) \in Ax(t)+F(t,x(t))\), \(x(t_ 0)=x_ 0\) are investigated, where \(x\) belong to a Banach space. A few cases of operators \(A\) \((m\)-dissipative with compact semigroup, infinitesimal generator
Tolstonogov, A. A., Umanskij, Ya. I.
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Knowledge Management for Inclusive System Evolution
2016When systems evolve in today’s complex, connected, and heterogeneous IT landscapes, waves of change ripple in every direction. Sometimes a change mandates other changes elsewhere, very often it is needed and opportune to check that a change indeed has no effects, or maybe only the announced effects, on other portions of the connected landscape, and ...
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