## ADMISSIBILITY AND EXPONENTIAL DICHOTOMY OF EVOLUTIONARY PROCESSES ON HALF-LINE

Citations: | 3 - 2 self |

### BibTeX

@MISC{Preda_admissibilityand,

author = {P. Preda and A. Pogan and C. Preda},

title = {ADMISSIBILITY AND EXPONENTIAL DICHOTOMY OF EVOLUTIONARY PROCESSES ON HALF-LINE},

year = {}

}

### OpenURL

### Abstract

Abstract. In the present paper we give a new way to characterize the exponential dichotomy of evolutionary processes in terms of ”Perron-type” theorems, without the so-called evolution semigroup. Also, there are obtained another proofs of some results gives by Van Minh, Räbiger and Schnaubelt. 1.

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Citation Context ... origins in the work of O.Perron [13]. It has been studied for the case of differential equations by several authors, whose results can be found in the monographs due to Massera-Schäffer [9], Hartman =-=[4]-=-, Daleckij-Krein [3], Coppel [2], Chicone-Latushkin [1]. The case of general evolutionary-processes has been studied in [15] by P.Preda for exponential stability and in [14] by P.Preda and M.Megan for... |

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Citation Context ...ied for the case of differential equations by several authors, whose results can be found in the monographs due to Massera-Schäffer [9], Hartman [4], Daleckij-Krein [3], Coppel [2], Chicone-Latushkin =-=[1]-=-. The case of general evolutionary-processes has been studied in [15] by P.Preda for exponential stability and in [14] by P.Preda and M.Megan for exponential dichotomy. Recently, several results about... |

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Citation Context ...l dichotomy. Recently, several results about exponential stability and exponential dichotomy which extend the result of O.Perron were obtained by N. van Minh [11], [12], F. Rabiger [11], Y. Latushkin =-=[6]-=-, [7], [8], T. Randolph, R. Schnaubelt [8], [18]. Arguments in these papers again illustrate the general philosophy of “autonomization” of nonautonomous problems by passing from evolution families to ... |

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Citation Context ...volution semigroup. Also, there are obtained another proofs of some results gives by Van Minh, Räbiger and Schnaubelt. 1. Introduction Exponential dichotomy have their origins in the work of O.Perron =-=[13]-=-. It has been studied for the case of differential equations by several authors, whose results can be found in the monographs due to Massera-Schäffer [9], Hartman [4], Daleckij-Krein [3], Coppel [2], ... |

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Citation Context ...[14] by P.Preda and M.Megan for exponential dichotomy. Recently, several results about exponential stability and exponential dichotomy which extend the result of O.Perron were obtained by N. van Minh =-=[11]-=-, [12], F. Rabiger [11], Y. Latushkin [6], [7], [8], T. Randolph, R. Schnaubelt [8], [18]. Arguments in these papers again illustrate the general philosophy of “autonomization” of nonautonomous proble... |

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Citation Context ...ponential stability and exponential dichotomy which extend the result of O.Perron were obtained by N. van Minh [11], [12], F. Rabiger [11], Y. Latushkin [6], [7], [8], T. Randolph, R. Schnaubelt [8], =-=[18]-=-. Arguments in these papers again illustrate the general philosophy of “autonomization” of nonautonomous problems by passing from evolution families to associated evolution semigroups. In contrast to ... |

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Citation Context ...hotomy. Recently, several results about exponential stability and exponential dichotomy which extend the result of O.Perron were obtained by N. van Minh [11], [12], F. Rabiger [11], Y. Latushkin [6], =-=[7]-=-, [8], T. Randolph, R. Schnaubelt [8], [18]. Arguments in these papers again illustrate the general philosophy of “autonomization” of nonautonomous problems by passing from evolution families to assoc... |

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Citation Context ...y. Recently, several results about exponential stability and exponential dichotomy which extend the result of O.Perron were obtained by N. van Minh [11], [12], F. Rabiger [11], Y. Latushkin [6], [7], =-=[8]-=-, T. Randolph, R. Schnaubelt [8], [18]. Arguments in these papers again illustrate the general philosophy of “autonomization” of nonautonomous problems by passing from evolution families to associated... |

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Citation Context ...y P.Preda and M.Megan for exponential dichotomy. Recently, several results about exponential stability and exponential dichotomy which extend the result of O.Perron were obtained by N. van Minh [11], =-=[12]-=-, F. Rabiger [11], Y. Latushkin [6], [7], [8], T. Randolph, R. Schnaubelt [8], [18]. Arguments in these papers again illustrate the general philosophy of “autonomization” of nonautonomous problems by ... |

3 |
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Citation Context ...ssera-Schäffer [9], Hartman [4], Daleckij-Krein [3], Coppel [2], Chicone-Latushkin [1]. The case of general evolutionary-processes has been studied in [15] by P.Preda for exponential stability and in =-=[14]-=- by P.Preda and M.Megan for exponential dichotomy. Recently, several results about exponential stability and exponential dichotomy which extend the result of O.Perron were obtained by N. van Minh [11]... |

3 |
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Citation Context ... results can be found in the monographs due to Massera-Schäffer [9], Hartman [4], Daleckij-Krein [3], Coppel [2], Chicone-Latushkin [1]. The case of general evolutionary-processes has been studied in =-=[15]-=- by P.Preda for exponential stability and in [14] by P.Preda and M.Megan for exponential dichotomy. Recently, several results about exponential stability and exponential dichotomy which extend the res... |

2 |
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Citation Context ...my have their origins in the work of O.Perron [13]. It has been studied for the case of differential equations by several authors, whose results can be found in the monographs due to Massera-Schäffer =-=[9]-=-, Hartman [4], Daleckij-Krein [3], Coppel [2], Chicone-Latushkin [1]. The case of general evolutionary-processes has been studied in [15] by P.Preda for exponential stability and in [14] by P.Preda an... |