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Weakly nonlinear boundary-value problem in a special critical case.
- Source :
-
Ukrainian Mathematical Journal . Apr2009, Vol. 61 Issue 4, p657-673. 17p. - Publication Year :
- 2009
-
Abstract
- We investigate the problem of the determination of conditions for the existence of solutions of weakly nonlinear Noetherian boundary-value problems for systems of ordinary differential equations and the construction of these solutions. We consider the special critical case where the equation for finding the generating solution of a weakly nonlinear Noetherian boundary-value problem turns into an identity. We improve the classification of critical cases and construct an iterative algorithm for finding solutions of weakly nonlinear Noetherian boundary-value problems in the special critical case. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00415995
- Volume :
- 61
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Ukrainian Mathematical Journal
- Publication Type :
- Academic Journal
- Accession number :
- 44841982
- Full Text :
- https://doi.org/10.1007/s11253-009-0227-8