On the existence of equations of evolution

A time-independent, non-autonomous non-linear system governed by a principle of determinism (the state at a given time is determined by the initial state and by the control history during the intervening closed interval) is shown to obey a generalized evolution equation (1.2), where n is such that t...

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Main Author:	J. Lubliner
Format:	Article
Language:	English
Published:	Hindawi Limited 1984-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	equations of evolution nonlinear systems.
Online Access:	http://dx.doi.org/10.1155/S0161171284000430

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spelling	doaj-84924824c3de4fd1b39d1d54151567a82020-11-24T23:34:37ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251984-01-017240941110.1155/S0161171284000430On the existence of equations of evolutionJ. Lubliner0Department of Civil Engineering, University of California, Berkeley 94720, California, USAA time-independent, non-autonomous non-linear system governed by a principle of determinism (the state at a given time is determined by the initial state and by the control history during the intervening closed interval) is shown to obey a generalized evolution equation (1.2), where n is such that the state is continuously differentiabie with respect to time whenever the control is of class Cn.http://dx.doi.org/10.1155/S0161171284000430equations of evolutionnonlinear systems.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	J. Lubliner
spellingShingle	J. Lubliner On the existence of equations of evolution International Journal of Mathematics and Mathematical Sciences equations of evolution nonlinear systems.
author_facet	J. Lubliner
author_sort	J. Lubliner
title	On the existence of equations of evolution
title_short	On the existence of equations of evolution
title_full	On the existence of equations of evolution
title_fullStr	On the existence of equations of evolution
title_full_unstemmed	On the existence of equations of evolution
title_sort	on the existence of equations of evolution
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	1984-01-01
description	A time-independent, non-autonomous non-linear system governed by a principle of determinism (the state at a given time is determined by the initial state and by the control history during the intervening closed interval) is shown to obey a generalized evolution equation (1.2), where n is such that the state is continuously differentiabie with respect to time whenever the control is of class Cn.
topic	equations of evolution nonlinear systems.
url	http://dx.doi.org/10.1155/S0161171284000430
work_keys_str_mv	AT jlubliner ontheexistenceofequationsofevolution
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On the existence of equations of evolution

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