Results 181 to 190 of about 993,184 (218)

The semigroup associated with nonlinear age dependent population dynamics [PDF]

open access: yesComputers and Mathematics With Applications, 1983
The solutions of the equations of nonlinear age dependent population dynamics may be associated with a strongly continuous semigroup of nonlinear operators in the Banach space L1(0, ∞; Rn).
G F Webb
exaly   +2 more sources

B‐bounded nonlinear semigroups

Mathematical Methods in the Applied Sciences, 2010
AbstractIn this paper we study the properties of a new one parameter family of nonlinear operators which is a generalization of B‐bounded linear semigroups. This family is constructed by means of a nonlinear operator A and a linear operator B. We give also examples of problems which can be solved by using such a family. Copyright © 2010 John Wiley &
LISI M., TOTARO S.
openaire   +2 more sources

Nonlinear semigroups analytic on sectors

Mathematical Journal of Okayama University, 1999
This article deals with semigroups of bounded operators in a complex Banach space \(X\); these semigroups are defined and analytic on an open sector \(\Sigma= \{se^{i\phi}+ te^{i\psi}: s,t> 0\}\) in the complex plain \(\mathbb{C}\) and describe solutions of nonlinear evolution equations of type \[ {d\over d\xi} u(\xi)= Au(\xi)\quad (\xi\in \Sigma ...
Nakamura, Gen   +2 more
openaire   +3 more sources

On generation of C 0 semigroups and nonlinear operator semigroups

Semigroup Forum, 2002
This article presents new proofs (based on the theory of difference equations) of two classical theorems in the theory of semigroups of linear and nonlinear operators in a Banach space \(X\): the Hille-Phillips-Yosida theorem about generators of \(C_0\)-semigroups of bounded operators and the Crandall-Ligget theorem about generators of semigroups of ...
openaire   +2 more sources

Analyticity of nonlinear semigroups

Israel Journal of Mathematics, 1989
The Cauchy problemdu/dt =Au(t),u(0) =u 0∈D(A) has analytic solutions whenA has first and second Gateaux derivatives along the solution curve in a certain weak sense. HereA is a maximal monotone operator in a complex Hilbert space.
openaire   +1 more source

Notes on Nonlinear Semigroups

1976
In this section we shall assemble some tools which are useful in the proofs of bifurcation theorems. We begin with some general properties of flows and semiflows (≡ nonlinear groups and nonlinear semigroups) following Chernoff-Marsden [1,2]. These include various important continuity and smoothness properties. Next, we give a basic criterion for when a
J. E. Marsden, M. McCracken
openaire   +1 more source

NONLINEAR MARKOV SEMIGROUPS ON C*-ALGEBRAS

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2013
A notion of a nonlinear quantum dynamical semigroup is introduced and discussed. Some sufficient conditions, expressed solely in terms of the duality map, in order that a multivalued mapping on a C*-algebra generates the nonlinear Markov semigroup are proposed.
Ługiewicz, P.   +2 more
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