Periodic solutions of systems with asymptotically even nonlinearities

Peter E. Kloeden and Alexander M. Krasnosel'skii

International Journal of Stochastic Analysis, 2000, vol. 13, 1-10

Abstract:

New conditions of solvability based on a general theorem on the calculation of the index at infinity for vector fields that have degenerate principal linear part as well as degenerate next order terms are obtained for the 2 π -periodic problem for the scalar equation x ″ + n 2 x = g ( | x | ) + f ( t , x ) + b ( t ) with bounded g ( u ) and f ( t , x ) → 0 as | x | → 0 . The result is also applied to the solvability of a two-point boundary value problem and to resonant problems for equations arising in control theory.

Date: 2000
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJSA/13/350180.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJSA/13/350180.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:350180

DOI: 10.1155/S1048953300000058

Access Statistics for this article

More articles in International Journal of Stochastic Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().