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Compatible and Incompatible Nonuniqueness Conditions for the Classical Cauchy Problem
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-05-23
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In the first part of this paper sufficient conditions for nonuniqueness of the classical Cauchy problem x˙=f(t,x), x(t0)=x0 are given.
As the essential tool serves a method which estimates the “distance” between two solutions with an appropriate Lyapunov function and permits to show that under certain conditions the “distance” between two different solutions vanishes at the initial point.
In the second part attention is paid to conditions that are obtained by a formal inversion of uniqueness theorems of Kamke-type but cannot guarantee nonuniqueness because they are incompatible.
American Psychological Association (APA)
Diblík, Josef& Nowak, Christine. 2011. Compatible and Incompatible Nonuniqueness Conditions for the Classical Cauchy Problem. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-495260
Modern Language Association (MLA)
Diblík, Josef& Nowak, Christine. Compatible and Incompatible Nonuniqueness Conditions for the Classical Cauchy Problem. Abstract and Applied Analysis No. 2011 (2011), pp.1-15.
https://search.emarefa.net/detail/BIM-495260
American Medical Association (AMA)
Diblík, Josef& Nowak, Christine. Compatible and Incompatible Nonuniqueness Conditions for the Classical Cauchy Problem. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-495260
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495260