Monotone-Iterative Method for Solving Antiperiodic Nonlinear Boundary Value Problems for Generalized Delay Difference Equations with Maxima
Joint Authors
Hristova, Snezhana
Nenov, Svetoslav
Golev, Angel
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-27
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A nonlinear generalized difference equation with both delays and the maximum value of the unknown function over a discrete past time interval are studied.
A nonlinear boundary value problem of antiperiodic type for the given difference equation is set up.
One of the main characteristics of the considered difference equation is the presence of the unknown function in both sides of the equation.
It leads to impossibility for using the step method for explicit solving of the nonlinear difference equation.
In this paper, an approximate method, namely, the monotone iterative technique, is applied to solve the problem.
An important feature of the given algorithm is that each successive approximation of the unknown solution is equal to the unique solution of an appropriately constructed initial value problem for a linear difference equation with “maxima,” and an algorithm for its explicit solving is given.
Also, each approximation is a lower/upper solution of the given nonlinear boundary value problem.
The suggested scheme for approximate solving is computer realized, and it is applied to a particular example, which is a generalization of a model in population dynamics.
American Psychological Association (APA)
Golev, Angel& Hristova, Snezhana& Nenov, Svetoslav. 2013. Monotone-Iterative Method for Solving Antiperiodic Nonlinear Boundary Value Problems for Generalized Delay Difference Equations with Maxima. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-481718
Modern Language Association (MLA)
Golev, Angel…[et al.]. Monotone-Iterative Method for Solving Antiperiodic Nonlinear Boundary Value Problems for Generalized Delay Difference Equations with Maxima. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-481718
American Medical Association (AMA)
Golev, Angel& Hristova, Snezhana& Nenov, Svetoslav. Monotone-Iterative Method for Solving Antiperiodic Nonlinear Boundary Value Problems for Generalized Delay Difference Equations with Maxima. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-481718
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-481718