Results 1 to 10 of about 165 (138)

Convergence and approximation of semigroups of nonlinear operators in Banach spaces

Journal of Functional Analysis, 1972
AbstractA general convergence theorem for semigroups of nonlinear operators in a general Banach space is proved. It is then applied to obtain an approximation theorem for such semigroups. These results extend the previously known results for semigroups of linear operators in Banach space.
H Brezis, A Pazy
exaly   +3 more sources

Product formulas, nonlinear semigroups, and accretive operators

Journal of Functional Analysis, 1980
AbstractA special case of our main theorem, when combined with a known result of Brezis and Pazy, shows that in reflexive Banach spaces with a uniformly Gâteaux differentiable norm, resolvent consistency is equivalent to convergence for nonlinear contractive algorithms.
Simeon Reich
exaly   +3 more sources

A Trotter-Lie formula for compactly generated semigroups of nonlinear operators

Journal of Functional Analysis, 1976
AbstractA Trotter-Lie type formula for semigroups of nonlinear operators on a Banach space X into itself, which are generated by compact operators, is proved.
A Pazy
exaly   +2 more sources

Resolvent-Generated Generalized Spectral Operators for Nonlinear Dynamical Systems via Koopman Semigroups

Mathematics
Spectral methods form a cornerstone of linear dynamics, where evolution is resolved into harmonic modes governed by eigenvalues and spectral measures of normal operators.
Rui A. P. Perdigão
doaj   +2 more sources

Convergence of Implicit Iterative Processes for Semigroups of Nonlinear Operators Acting in Regular Modular Spaces

Mathematics
This paper focuses on one-parameter semigroups of ρ-nonexpansive mappings Tt:C→C, where C is a subset of a modular space Xρ, the parameter t ranges over [0,+∞), and ρ is a convex modular with the Fatou property. The common fixed points of such semigroups
Wojciech M. Kozlowski
doaj   +2 more sources

Remarks on the Generation of Semigroups of Nonlinear Operators on p-Fréchet Spaces, 0 < p < 1

Cubo, 2011
In this paper we study the convergence properties of the Crandall-Liggett sequence , for A a nonlinear operator on some important non-locally convex F-spaces (called p-Fréchet spaces with 0 < p < 1) and the generation of the corresponding strongly ...
Sorin G Gal
doaj   +2 more sources

Quasilinear Fractional Order Equations and Fractional Powers of Sectorial Operators

Fractal and Fractional, 2023
The fractional powers of generators for analytic operator semigroups are used for the proof of the existence and uniqueness of a solution of the Cauchy problem to a first order semilinear equation in a Banach space. Here, we use an analogous construction
Vladimir E. Fedorov, Marko Kostić, Tatyana A. Zakharova   +2 more
doaj   +1 more source

Stability analysis of partial differential variational inequalities in Banach spaces

Nonlinear Analysis, 2020
In this paper, we study a class of partial differential variational inequalities. A general stability result for the partial differential variational inequality is provided in the case the perturbed parameters are involved in both the nonlinear mapping ...
Faming Guo, Wei Li, Yi-bin Xiao, Stanisław Migórski   +3 more
doaj   +1 more source

Square-mean piecewise almost automorphic mild solutions to a class of impulsive stochastic evolution equations

Advances in Difference Equations, 2020
In this paper, we introduce the concept of square-mean piecewise almost automorphic function. By using the theory of semigroups of operators and the contraction mapping principle, the existence of square-mean piecewise almost automorphic mild solutions ...
Junwei Liu, Ruihong Ren, Rui Xie
doaj   +1 more source

DIFFUSION OF A CONTAMINANT WITH INHOMOGENEOUS BOUNDARY CONDITIONS

Pesquimat, 2014
We prove the existence of solution for a mathematic model of diffusion of a contaminant using the Nonlinear Semigroups Theory, by means of afin operators. We also study a realistic model by means of satura tíon effects.
Yolanda Silvia Santiago Ayala, Luis Enrique Carrillo Díaz, Santiago César Rojas Romero   +2 more
doaj   +1 more source