regularized semigroups
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2016 ◽  
Vol 22 (2) ◽  
Author(s):  
Masoud Mosallanezhad ◽  
Mohammad Janfada

AbstractIn this paper, a set-valued iteration regularized semigroup, i.e. a familywill be considered, where


2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
Fang Li ◽  
Huiwen Wang ◽  
Zihai Qu

2010 ◽  
Vol 87 (101) ◽  
pp. 9-37 ◽  
Author(s):  
Marko Kostic

We systematically analyze regularization of different kinds of ultradistribution semigroups and sines, in general, with nondensely defined generators and contemplate several known results concerning the regularization of Gevrey type ultradistribution semigroups. We prove that, for every closed linear operator A which generates an ultradistribution semigroup (sine), there exists a bounded injective operator C such that A generates a global differentiable C-semigroup (C-cosine function) whose derivatives possess some expected properties of operator valued ultradifferentiable functions. With the help of regularized semigroups, we establish the new important characterizations of abstract Beurling spaces associated to nondensely defined generators of ultradistribution semigroups (sines). The study of regularization of ultradistribution sines also enables us to perceive significant ultradifferentiable properties of higher-order abstract Cauchy problems.


2010 ◽  
Vol 2010 ◽  
pp. 1-13
Author(s):  
M. Janfada

We introduce the notion of regularized quasi-semigroup of bounded linear operators on Banach spaces and its infinitesimal generator, as a generalization of regularized semigroups of operators. After some examples of such quasi-semigroups, the properties of this family of operators will be studied. Also some applications of regularized quasi-semigroups in the abstract evolution equations will be considered. Next some elementary perturbation results on regularized quasi-semigroups will be discussed.


2009 ◽  
Vol 2009 ◽  
pp. 1-15
Author(s):  
Mohammad Janfada

Suppose that is a Banach space and is an injective operator in , the space of all bounded linear operators on . In this note, a two-parameter -semigroup (regularized semigroup) of operators is introduced, and some of its properties are discussed. As an application we show that the existence and uniqueness of solution of the 2-abstract Cauchy problem , , , is closely related to the two-parameter -semigroups of operators.


2006 ◽  
Vol 72 (3) ◽  
pp. 375-386 ◽  
Author(s):  
Jin Liang ◽  
Ti-Jun Xiao ◽  
Fang Li

2004 ◽  
Vol 20 (5) ◽  
pp. 821-828 ◽  
Author(s):  
Miao Li ◽  
Quan Zheng

2002 ◽  
Vol 130 (8) ◽  
pp. 2271-2274
Author(s):  
Quan Zheng ◽  
Yongsheng Zhao

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