Results 71 to 80 of about 2,840,866 (277)

An analytic criterion for the local finiteness of a countable semigroup [PDF]

, 2021
Oleg Aristov
openalex   +1 more source

Analytic semigroup generated by an elliptic operator with discontinuous coefficients

Le Matematiche, 2000
We consider the generation of analytic semigroups by elliptic operators with discontinuous coefficients.
Giuseppe Di Fazio, Pietro Zamboni
doaj  

Existence results for a class of semi-linear evolution equations

Electronic Journal of Differential Equations, 2001
We prove the existence of regular solutions for the quasi-linear evolution $$ {d over dt}(x(t)+g(t,x(t))=Ax(t)+f(t,x(t)), $$ where $A$ is the infinitesimal generator of an analytic semigroup of bounded linear operators defined on a Banach space and the ...
Eduardo Hernandez M.
doaj  

Existence of a mild solution for a fractional impulsive differential equation of the Sobolev type including deviating argument

Results in Control and Optimization
The impulsive fractional differential equation of the Sobolev type, including deviating arguments, is the subject of the study. The analytic semigroup and fixed point approaches serve the purpose of determining the existence of the approximations.
Kottakkaran Sooppy Nisar, Kalimuthu Kaliraj, Mohan Manjula, Chokkalingam Ravichandran, Suliman Alsaeed, Shankar Rao Munjam   +5 more
doaj   +1 more source

Nonlinear perturbations of analytic semigroups

Semigroup Forum, 1991
From the author's text: ``This is a survey article which outlines recent work on relatively continuous perturbations of analytic semigroups in Banach spaces. The results are described from the point of view of nonlinear semigroup theory. Necessary and sufficient conditions are discussed for a semilinear operator \(A+B\) to be the full infinitesimal ...
openaire   +2 more sources

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  

Abstract fractional integro-differential equations involving nonlocal initial conditions in α-norm

Advances in Difference Equations, 2011
In the present paper, we deal with the Cauchy problems of abstract fractional integro-differential equations involving nonlocal initial conditions in α-norm, where the operator A in the linear part is the generator of a compact analytic semigroup ...
Wang Rong-Nian, Liu Jun, Chen De-Han
doaj  

Functional Analytic Properties of Extremely Amenable Semigroups [PDF]

Transactions of the American Mathematical Society, 1969
Introduction. Let S be a semigroup m(S) the Banach space of all bounded real functions on S with the norm lf l =sup {ff(s)I; s E S} and m(S)* the conjugate Banach space of m(S). 1 E m(S)* is a mean if > O (i.e. +(f)O> iff O, fe m(S)) and q(1) = 1 (1 stands also for the constant one function on S). The semigroup S is left amenable (LA) if there exists a
openaire   +2 more sources

Asymptotically almost periodic and almost periodic solutions for a class of evolution equations

Electronic Journal of Differential Equations, 2004
In this paper we study the existence of asymptotically almost periodic and almost periodic solutions for the partial evolution equation $$ frac{d}{dt} (x(t)+g(t,x(t))=Ax(t)+f(t,Bx(t)), $$ where $A$ is the infinitesimal generator of an analytic semigroup ...
Eduardo Hernandez M., Mauricio L. Pelicer, Jose P. C. Dos Santos   +2 more
doaj  

Constructions with Analytic Semigroups and Abstract Exponential Decay Results for Eigenfunctions [PDF]

, 1999
Sigurd Angenent
openalex   +1 more source