Archivio Istituzionale della RicercaWhen exists , the periodic solutions of x" +Ax = f form n-dimensional subspaces in the function space, where n= dim Ker A =n . We prove four results about persistence of similar properties for periodic solutions iof nonlinear second order equations in terms of continua with covering dimension n that can be globally continued.
A global description of the periodic solutions of some ordinary differential equations / Fitzpatrick, P.; Massabò, I.; Pejsachowicz, Jacobo. - In: JOURNAL OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6107. - STAMPA. - 29:(1984), pp. 499-508.
A global description of the periodic solutions of some ordinary differential equations
PEJSACHOWICZ, JACOBO
1984
Abstract
When exists , the periodic solutions of x" +Ax = f form n-dimensional subspaces in the function space, where n= dim Ker A =n . We prove four results about persistence of similar properties for periodic solutions iof nonlinear second order equations in terms of continua with covering dimension n that can be globally continued.
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https://hdl.handle.net/11583/2495704
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