Results 71 to 80 of about 18,096 (200)

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
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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
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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 ...
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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
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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
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Integrodifferential equations with analytic semigroups

International Journal of Stochastic Analysis, 2001
In this paper we study a class of integrodifferential equations considered in an arbitrary Banach space. Using the theory of analytic semigroups we establish the existence, uniqueness, regularity and continuation of solutions to these integrodifferential equations.
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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
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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
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Global existence of solutions to a hyperbolic-elliptic chemotaxis model on networks with nonhomogeneous boundary conditions

Results in Applied Mathematics
In this paper, we investigate a coupled hyperbolic-elliptic chemotaxis system posed on a network under nonhomogeneous boundary conditions. First, the boundary data are homogenized via a linear transformation.
Yafeng Li
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Existence of solutions in the alpha-norm for partial differential equations of neutral type with finite delay

Electronic Journal of Differential Equations, 2010
In this work, we prove results on the local existence of mild solution and global continuation in the alpha-norm for some class of partial neutral differential equations. We suppose that the linear part generates a compact analytic semigroup.
Khalil Ezzinbi, Hatem Megdiche, Amor Rebey   +2 more
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