Results 101 to 110 of about 1,584 (227)

Global attractors for a nonlinear viscoelastic equations with strong damping velocity-dependent material density

Boundary Value Problems
In this paper, we study the long-time behavior of the semigroup  S ( t ) $S(t)$  generated by a nonlinear viscoelastic equation with strong damping in a bounded domain Ω of  R N $\mathbb{R}^{N}$ .
Suli Zhang
doaj   +1 more source

Higher order estimates and smoothness of nonlinear wave equations

, 1975
A completely elementary proof is given for Segal’s nonlinear semigroup theorem.
Michael C. Reed
core   +1 more source

Existence, uniqueness, and stability of nonlinear evolution equations

, 1979
In this paper we study existence, uniqueness, and stability of nonlinear evolution equations. We develop a new type of perturbation result for a C0 semigroup in Banach space, where the nonlinear operators are not necessarily m-accretive or everywhere ...
Ichikawa, A, Pritchard, A.J
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Asynchronous exponential growth of semigroups of nonlinear operators

, 1992
The property of asynchronous exponential growth is analyzed for the abstract nonlinear differential equation z′(t) = Az(t) + F(z(t)), t ⩾ 0, z(0) = x ϵ X, where A is the infinitesimal generator of a semigroup of linear operators in the Banach space X and
Gyllenberg, Mats,, Webb, G.F.,, Webb, G.F, Gyllenberg, M   +3 more
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Periodic trajectories for evolution equations in Banach spaces

Electronic Journal of Differential Equations, 2005
The existence of periodic solutions for the evolution equation $$ y'(t)+Ay(t) i F(t,y(t)) $$ is investigated under considerably simple assumptions on $A$ and $F$.
Mircea D. Voisei
doaj  

Semigroup estimates and fast-slow dynamics in parabolic-hyperbolic systems

, 2018
We present a general procedure to describe slow dynamics in parabolic-hyperbolic systems, under suitable assumptions on the terms appearing in the equations. In particular, our strategy relies in semigroup estimates for the evolution system associated to
Strani Marta, Strani, Marta
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Mild solutions for semilinear fractional differential equations

Electronic Journal of Differential Equations, 2009
This paper concerns the existence of mild solutions for fractional semilinear differential equation with non local conditions in the $alpha$-norm.
Gisele M. Mophou, Gaston M. N'Guerekata
doaj  

Continuity of Lyapunov functions and of energy level for generalized gradient semigroup

, 2012
The global attractor of a gradient-like semigroup has a Morse decomposition. Associated to this Morse decomposition there is a Lyapunov function (differentiable along solutions)-defined on the whole phase space- which proves relevant information on the ...
Aragao-Costa, Eder R., Langa, Jose A., Carvalho, Alexandre Nolasco de, Caraballo, Tomas   +3 more
core  

Semigroup Properties and the Crandall Liggett Approximation for a Class of Differential Equations with State-Dependent Delays

, 2002
We present an approach for the resolution of a class of differential equations with state-dependent delays by the theory of strongly continuous nonlinear semigroups. We show that this class determines a strongly continuous semigroup in a closed subset of
Arino, O., Louihi, M., Hbid, M.L.
core   +1 more source

Continuous nonlinear perturbations of linear accretive operators in banach spaces

, 1972
Let A be a linear, closed, densely defined m-accretive operator from a Banach space X to itself, and let T(t), t ⩾ 0, be the semigroup of operators which has −A as its infinitesimal generator.
Webb, G.F
core   +1 more source