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On the unbounded behaviour for some non-autonomous systems in Banach spaces

Technical Report:

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Abstract

By modifying our previous methods and by using the notion of integral solution introduced by Benilan, we study the asymptotic behaviour of unbounded trajectories for the quasi-autonomous dissipative system: du/dt + Au is not an element of f where X is a real Banach space, A an accretive (possibly multivalued) operator in X x X, and f - f{sub {infinity}} is an element of L{sup p}((0, +{infinity});X) for some f{sub {infinity}} is an element of X and 1 {<=} p < {infinity}. (author). 24 refs.
Authors:
Publication Date:
Sep 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/285
Reference Number:
SCA: 661300; PA: AIX-23:012864; SN: 92000638761
Resource Relation:
Other Information: PBD: Sep 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIFFERENTIAL EQUATIONS; ASYMPTOTIC SOLUTIONS; BANACH SPACE; INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; NONLINEAR PROBLEMS; 661300; OTHER ASPECTS OF PHYSICAL SCIENCE
OSTI ID:
10111560
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92614144; TRN: XA9130292012864
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
13 p.
Announcement Date:
Jun 30, 2005

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Citation Formats

Djafari Rouhani, B. On the unbounded behaviour for some non-autonomous systems in Banach spaces. IAEA: N. p., 1991. Web.
Djafari Rouhani, B. On the unbounded behaviour for some non-autonomous systems in Banach spaces. IAEA.
Djafari Rouhani, B. 1991. "On the unbounded behaviour for some non-autonomous systems in Banach spaces." IAEA.
@misc{etde_10111560,
title = {On the unbounded behaviour for some non-autonomous systems in Banach spaces}
 author = {Djafari Rouhani, B}
 abstractNote = {By modifying our previous methods and by using the notion of integral solution introduced by Benilan, we study the asymptotic behaviour of unbounded trajectories for the quasi-autonomous dissipative system: du/dt + Au is not an element of f where X is a real Banach space, A an accretive (possibly multivalued) operator in X x X, and f - f{sub {infinity}} is an element of L{sup p}((0, +{infinity});X) for some f{sub {infinity}} is an element of X and 1 {<=} p < {infinity}. (author). 24 refs.}
 place = {IAEA}
 year = {1991}
 month = {Sep}
 }