Note on Nonlinear Contraction Semigroups [PDF]
Proceedings of the American Mathematical Society, 1969 1. Let X be a Banach space and let { F(£); 0^£< » } be a family of nonlinear operators from X into itself satisfying the following conditions: (i) T(0)=I (the identity) and T{£+7]) = T{£)T{v) for ?, t?^0. (ii) ||r(£)x-7X£);y||=g||x-3,|| for x, y EX. (iii) limj_o+ ||F(£)x — x|| =0 for xEX.
openaire +2 more sources
Semigroup analysis of structured parasite populations [PDF]
, 2009 Motivated by structured parasite populations in aquaculture we consider a class of size-structured population models, where individuals may be recruited into the population with distributed states at birth.
Borges +15 more
core +2 more sources
Steady states in hierarchical structured populations with distributed states at birth [PDF]
, 2011 We investigate steady states of a quasilinear first order hyperbolic partial integro-differential equation. The model describes the evolution of a hierarchical structured population with distributed states at birth.
Farkas, J. Z., Hinow, P.
core +2 more sources
Metric domains, holomorphic mappings and nonlinear semigroups
Abstract and Applied Analysis, 1998 We study nonlinear semigroups of holomorphic mappings on certain domains in complex Banach spaces. We examine, in particular, their differentiability and their representations by exponential and other product formulas.
Simeon Reich, David Shoikhet
doaj +1 more source
Ergodicity and Kolmogorov equations for dissipative SPDEs with singular drift: a variational approach [PDF]
, 2017 We prove existence of invariant measures for the Markovian semigroup generated by the solution to a parabolic semilinear stochastic PDE whose nonlinear drift term satisfies only a kind of symmetry condition on its behavior at infinity, but no restriction
Marinelli, Carlo, Scarpa, Luca
core +2 more sources
Ruelle-Pollicott Resonances of Stochastic Systems in Reduced State Space. Part II: Stochastic Hopf Bifurcation [PDF]
, 2020 The spectrum of the generator (Kolmogorov operator) of a diffusion process, referred to as the Ruelle-Pollicott (RP) spectrum, provides a detailed characterization of correlation functions and power spectra of stochastic systems via decomposition ...
Chekroun, Mickaël D. +3 more
core +4 more sources
Physiologically structured populations with diffusion and dynamic boundary conditions [PDF]
, 2011 We consider a linear size-structured population model with diffusion in the size-space. Individuals are recruited into the population at arbitrary sizes. The model is equipped with generalized Wentzell-Robin (or dynamic) boundary conditions.
Farkas, J. Z., Hinow, P.
core +2 more sources
Global Existence of the Higher-Dimensional Linear System of Thermoviscoelasticity
International Journal of Differential Equations, 2011 We obtain a global existence result for the higher-dimensional thermoviscoelastic equations. Using semigroup approach, we will establish the global existence of homogeneous, nonhomogeneous, linear, semilinear, and nonlinear, thermoviscoelastic systems.
Zhiyong Ma
doaj +1 more source
Cauchy problem and exponential stability for the inhomogeneous Landau equation
, 2015 This work deals with the inhomogeneous Landau equation on the torus in the cases of hard, maxwellian and moderately soft potentials. We first investigate the linearized equation and we prove exponential decay estimates for the associated semigroup.
Carrapatoso, Kleber +2 more
core +3 more sources
Existence of Pseudo Almost Periodic Solutions to Some Classes of Partial Hyperbolic Evolution Equations [PDF]
, 2006 The paper examines the existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations. Namely, sufficient conditions for the existence and uniqueness of pseudo almost periodic solutions to those classes of ...
Diagana, Toka
core +4 more sources