Results 81 to 90 of about 1,584 (227)

Nonlinear holomorphic semigroups [PDF]

Pacific Journal of Mathematics, 1975
Hayden, T. L., Massey, F. J.
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Global attractor for a nonlinear viscoelastic model

, 2008
In this paper we establish the existence of global attractors of a semiflow and a semigroup for a nonlinear 1-d viscoelasticity in two frameworks. We exploit the properties of the analytic semigroup to show the compactness for the semiflow and semigroup ...
Lü, Tzon-Tzer, Qin, Yuming
core   +1 more source

Exponential Attractor for Lattice System of Nonlinear Boussinesq Equation

Discrete Dynamics in Nature and Society, 2013
We study the lattice dynamical system of a nonlinear Boussinesq equation. We first verify the Lipschitz continuity of the continuous semigroup associated with the system.
Min Zhao, Shengfan Zhou
doaj   +1 more source

A Free Boundary Problem Related to Condensed Two-Phase Combustion. Part I. Semigroup

, 1994
We study the dynamical aspects of a general one space dimension two-phase nonlinear free boundary problem which is related to condensed two-phase combustion. Among those, we give particular attention to the dynamics near traveling wave solutions.
Chow, S.N., Shen, W.X.
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On a novel semigroup of enriched Chatterjea-type mappings in Banach spaces with a numerical experiment

Recently in [V. Berinde and M. Păcurar, Approximating fixed points of enriched Chatterjea contractions by Krasnoselskij iterative algorithm in Banach spaces, J.
Kesahorm, Thitima, Sintunavarat, Wutiphol   +1 more
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Equivalence of L_p Stability and Exponential Stability of Nonlinear Lipschitzian Semigroups

, 2012
Lp stability and exponential stability are two important concepts for nonlinear dynamic systems. In this paper, we prove that a nonlinear exponentially bounded Lipschitzian semigroup is exponentially stable if and only if the semigroup is Lp stable for ...
Song Xueli, Peng Jigen
core   +1 more source

Mild solutions for perturbed evolution equations with infinite state-dependent delay

Electronic Journal of Qualitative Theory of Differential Equations, 2013
In this paper, we give sufficient conditions to get the existence of mild solutions for two classes of first order partial and neutral of perturbed evolution equations by using the nonlinear alternative of Avramescu for contractions operators in Fréchet ...
Djillali Aoued, Selma BAGHLI-BENDIMERAD
doaj   +1 more source

The Hopf bifurcation for nonlinear semigroups [PDF]

Bulletin of the American Mathematical Society, 1973
Several authors, have shown by perturbation techniques that the Hopf theorem on the development of periodic stable solutions is valid for the Navier-Stokes equations; in particular, solutions near the stable periodic ones remain defined and smooth for all t ≥ 0 . The principal difficulty is that the Hopf theorem deals with flows of smooth vector fields
openaire   +3 more sources

Existence of solutions for nonlinear impulsive neutral integro-differential equations of Sobolev type with nonlocal conditions in Banach spaces

Electronic Journal of Differential Equations, 2013
In this article, we prove the existence of mild and strong solutions for nonlinear impulsive integro-differential equations of Sobolev type with nonlocal initial conditions.
Bheeman Radhakrishnan, Aruchamy Mohanraj, Velu Vinoba   +2 more
doaj  

Existence results for nondensely defined semilinear functional differential inclusions in Fréchet spaces

Electronic Journal of Qualitative Theory of Differential Equations, 2005
In this paper, a recent Frigon nonlinear alternative for contractive multivalued maps in Fréchet spaces, combined with semigroup theory, is used to investigate the existence of integral solutions for first order semilinear functional differential ...
Johnny Henderson, Abdelghani Ouahab
doaj   +1 more source