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Nonlinear evolution inclusions with one-sided perron right-hand side

Journal of Dynamical and Control Systems, 2013
In this paper the authors study the evolution inclusion of the type \[ x'(t)\in A(x(t))+F(x(t)), \] where \(A\) is an \(m\)-dissipative operator and \(F\) is an upper hemicontinuous multifunction with non empty, convex and weakly compact values defined on a Banach space with a uniformly convex dual.
Cârjă, O., Donchev, T., Postolache, V.
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Existence of solutions and periodic solutions for nonlinear evolution inclusions

Rendiconti del Circolo Matematico di Palermo, 1999
The authors establish two existence theorems for evolution inclusions: the first for a periodic problem and the second for a Cauchy problem. It is stated a preliminary surjectivity result. More exactly, if \(Y\) is a reflexive, strictly convex Banach space, \(L: D(L)\subset Y\to Y^*\) be a linear densely defined maximal monotone operator and \(T: Y\to ...
Papageorgiou, Nikolaos S.   +2 more
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Nonlocal problem for evolution inclusions with one-sided Perron nonlinearities

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bilal, S.   +3 more
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Convergence results for nonlinear evolution inclusions

1995
In the first part of this paper the authors consider the sequence of abstract Cauchy problems \((1)_n\) \(u'\in - \partial^- f(u)+ {\mathcal G}_n(u)\), \(u(0)= x_n\), \(x_n\in D(f)\), and the limit problem (1) \(u'\in -\partial^- f(u)+ {\mathcal G}(u)\), \(u(0)= \overline x\), \(\overline x\in D(f)\) (where \(\partial^- f\) is the Fréchet ...
CARDINALI, Tiziana, F. Papalini
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Global Solutions for Nonlinear Delay Evolution Inclusions with Nonlocal Initial Conditions

Set-Valued and Variational Analysis, 2012
Under suitable assumptions, the author obtains a sufficient condition for the existence of global \(C^{0}\)-solutions for the following nonlinear functional evolution equation \[ \left\{\begin{aligned} u^{\prime }(t)&\in Au(t)+f(t), \;t\in \mathbb{R}_{+}, \\ f(t)&\in F(t,u(t),u_{t}), \;t\in \mathbb{R}_{+}, \\ u(t)&=g(u)(t), \;t\in [ -\tau ,0], \end ...
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Control problems for systems described by nonlinear second order evolution inclusions

Nonlinear Analysis: Theory, Methods & Applications, 1997
The author reviews some results obtained by himself and presents some new results for optimal control problems governed by second-order evolution inclusions.
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Existence for nonlinear evolution inclusions with nonlocal retarded initial conditions

Nonlinear Analysis: Theory, Methods & Applications, 2011
The author proves a sufficient condition for the global existence of bounded \(C^0\)-solutions for a class of nonlinear functional differential evolution equations of the form \[ u'(t)\in Au(t)+f(t), \,\, t\in [0,+\infty ), \] \[ f(t)\in F(t,u(t),u(t-\tau_1),\dots,u(t-\tau_n)), \,\, t\in [0,+\infty ) \] \[ u(t)=g(u)(t), \,\, t\in [-\tau ,0], \] where \(
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Nonlinear Parametric Evolution Inclusions

Mathematische Nachrichten, 2002
Nikolaos S. Papageorgiou   +1 more
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Nonlinear Evolution Inclusions with Causal Operators

2023
Tzanko Donchev   +3 more
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Periodic solutions of nonlinear evolutions inclusions in Banach spaces

2012
FEDER POCTI/MAT/55524 ...
Aizicovici, S.   +2 more
openaire   +1 more source

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