Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations

Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations

The periodical in time problem for singularly perturbed second order linear ordinary differential equation is considered. The boundary layer behavior of the solution and its first and second derivatives have been established. An example supporting the theoretical analysis is presented.

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Veröffentlicht in:TheScientificWorld 2013-01, Vol.2013 (2013), p.1-4
Hauptverfasser: Amiraliyev, Gabil M., Ucar, Aysenur
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Boundary layers
Boundary value problems
Differential equations
Mathematical research
Mechanics
Numerical analysis
Ordinary differential equations
Periodic functions
Perturbation (Mathematics)
Theoretical analysis
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Beschreibung
Zusammenfassung:The periodical in time problem for singularly perturbed second order linear ordinary differential equation is considered. The boundary layer behavior of the solution and its first and second derivatives have been established. An example supporting the theoretical analysis is presented.
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2013/301609