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Monotone-Iterative Method for the Initial Value Problem with Initial Time Difference for Differential Equations with “Maxima”
Joint Authors
Hristova, Snezhana
Golev, Angel
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-09
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
The object of investigation of the paper is a special type of functional differential equations containing the maximum value of the unknown function over a past time interval.
An improved algorithm of the monotone-iterative technique is suggested to nonlinear differential equations with “maxima.” The case when upper and lower solutions of the given problem are known at different initial time is studied.
Additionally, all initial value problems for successive approximations have both initial time and initial functions different.
It allows us to construct sequences of successive approximations as well as sequences of initial functions, which are convergent to the solution and to the initial function of the given initial value problem, respectively.
The suggested algorithm is realized as a computer program, and it is applied to several examples, illustrating the advantages of the suggested scheme.
American Psychological Association (APA)
Hristova, Snezhana& Golev, Angel. 2012. Monotone-Iterative Method for the Initial Value Problem with Initial Time Difference for Differential Equations with “Maxima”. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-476046
Modern Language Association (MLA)
Hristova, Snezhana& Golev, Angel. Monotone-Iterative Method for the Initial Value Problem with Initial Time Difference for Differential Equations with “Maxima”. Abstract and Applied Analysis No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-476046
American Medical Association (AMA)
Hristova, Snezhana& Golev, Angel. Monotone-Iterative Method for the Initial Value Problem with Initial Time Difference for Differential Equations with “Maxima”. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-476046
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476046