Results 201 to 210 of about 1,556 (222)

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., Papalini, Francesca, Renzacci, Francesca   +2 more
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Second Order Nonlinear Evolution Inclusions I: Existence and Relaxation Results

Acta Mathematica Sinica, English Series, 2005
The authors study second-order nonlinear nonmonotone evolution inclusions defined in the framework of an evolution triple of spaces. In particular, they consider the problem \[ \ddot{x}(t) +A(t,\dot{x}(t))+Bx(t) \in F(t,x(t),\dot{x}(t)) \text{ a.e. }t \in T=[0,b],\;x(0)=z_0,\;\dot{x}(0)=z_1 , \] where \(A:T \times X \to X^*\) is a nonlinear operator, \(
Papageorgiou, Nikolaos S., Yannakakis, Nikolaos   +1 more
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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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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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Elliptic-like regularization of a fully nonlinear evolution inclusion and applications

Communications in Contemporary Mathematics, 2016
Consider in a Hilbert space [Formula: see text] the Cauchy problem [Formula: see text]: [Formula: see text], and associate with it the second-order problem [Formula: see text]: [Formula: see text], where [Formula: see text] is a (possibly set-valued) maximal monotone operator, [Formula: see text] is a Lipschitz operator, and [Formula: see text] is a ...
Barbu, Luminiţa, Moroşanu, Gheorghe
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On the solution set of nonlinear evolution inclusions depending on a parameter

Publicationes Mathematicae Debrecen, 1994
Let \((X, H, X^*)\) be an evolution triple of spaces with \(X\) embedding into \(H\) compactly and \(T= [0, r]\) a compact interval in \(\mathbb{R}_ +\). Also let \(\Lambda\) be metric space (the parameter space). In this interesting paper the author investigates the following evolution inclusion parameterized by elements in \(\Lambda\): \[ \dot x(t ...
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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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Nonlinear Evolution Inclusions with Causal Operators

2023
Tzanko Donchev, Nikolay Kitanov, Alina I. Lazu, Stanislav Stefanov   +3 more
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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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Nonlinear Parametric Evolution Inclusions

Mathematische Nachrichten, 2002
Nikolaos S. Papageorgiou, Nikolaos Yannakakis   +1 more
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