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Nonlinear Noetherian Boundary-Value Problem in the Case of Parametric Resonance.
- Source :
-
Journal of Mathematical Sciences . Mar2015, Vol. 205 Issue 6, p859-870. 12p. - Publication Year :
- 2015
-
Abstract
- Necessary and sufficient conditions are established for the existence of solutions of the nonlinear Noetherian boundary-value problem for a system of differential equations in the case of parametric resonance. We propose a convergent iterative algorithm for finding approximate solutions of the nonlinear Noetherian boundary-value problem for a system of ordinary differential equations in the case of parametric resonance. As an example, we apply the constructed iterative algorithm to find approximate solutions of the periodic boundary-value problem for the Duffing-type equation with parametric perturbation. The accuracy of the obtained approximate solutions of the periodic boundary-value problem for the Duffing-type equation is controlled by using deviations from the original equation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10723374
- Volume :
- 205
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 101329500
- Full Text :
- https://doi.org/10.1007/s10958-015-2289-5