Results 141 to 150 of about 174,550,829 (158)

Inertial Invariant Manifolds of a Nonlinear Semigroup of Operators in a Hilbert Space

Journal of Mathematical Sciences
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On conditions of weak convergence of nonlinear contraction semigroups and of iterative methods for accretive operators in Banach spaces

Nonlinear Analysis: Theory, Methods & Applications, 1996
This paper relates to results of the authors about necessary and sufficient conditions are established for the strong convergence of the semigroup generated by an \(m\)-accretive operator \(A\) and of the steepest descent approximation process \[ x_{n+1}= x_n-t_nAx_n,\quad t_n\in\mathbb{R}^+,\quad \{t_n\}\not\in\ell^1 \] to a zero of a quasi-accretive ...
Jiang, Yao-Lin, Xu, Zong-Ben, Roach, G. F.   +2 more
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Maximal Accretive Operators, Nonlinear Nonexpansive Semigroups, and First-Order Evolution Equations

1990
In Chapter 30 we considered first-order evolution equations of the form (1) , with the operators A(t): V → V* and b(t) ∈ V* for all t ∈ ]0,T[. In this connection, “V ⊆ H ⊆ V*” is an evolution triple.
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Global solutions for operator Riccati equations with unbounded coefficients: A non‐linear semigroup approach

Mathematical Methods in the Applied Sciences, 1995
AbstractLet X be a Banach space of real‐valued functions on [0, 1] and let ℒ(X) be the space of bounded linear operators on X. We are interested in solutions R:(0, ∞) → ℒ(X) for the operator Riccati equation where T is an unbounded multiplication operator in X and the Bi(t)'s are bounded linear integral operators on X.
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Stability of iteration processes weakly convergent to stationary points of semigroups of nonlinear operators

Rendiconti del Circolo Matematico di Palermo Series 2
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A specifically nonlinear property of the operator semigroup of the navier‐stokes equations

Communications on Pure and Applied Mathematics, 1982
Foiaş, Ciprian, Temam, R.
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Proof Mining for Nonlinear Operator Theory: Four Case Studies on Accretive Operators, the Cauchy Problem and Nonexpansive Semigroups

2017
In dieser Arbeit werden die ersten Proof-Mining-Anwendungen auf die Theorie Partieller Differentialgleichungen sowie auf mehrwertige Operatoren in Banachräumen präsentiert. Vor allem werden abstrakte Cauchy-Probleme, die durch mehrwertige nichtlineare Operatoren generiert werden, welche bestimmte Akkretivitätsbedingungen erfüllen, betrachtet. Ein neuer
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Semigroup-theoretical approach to higher order nonlinear operator- differential equations. I

1990
Summary: Suppose that the equation defined in \(E\) \[ u^{(n)}+ A_{n-1} u^{(n- 1)}+\cdots +A_ 0 u= f(t)\tag{1} \] is transformed into the system in \(X=\Bigl(\prod^{n-1}_{i=1} V_ i\Bigr)\times E\), \(\|\cdot\|^ 2_ X= \sum^ n_{i=1} \|\cdot\|^ 2_{V_ i}\), where \(V_ n= E\), \[ \dot u+Au= F(t),\;A=\begin{pmatrix} 0 &-1 &0 &\cdots &0\\ 0 & 0 & -1 &\cdots &
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Nonlinear Semigroups and Monotone Operators

2011
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Semigroups of Linear and Nonlinear Operations and Applications

1993
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