Periodic trajectories for evolution equations in Banach spaces.
Voisei, Mircea D. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Voisei, Mircea D. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Couchouron, Jean-Francois, Precup, Radu (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Piotr Zgliczyński (1999)
Banach Center Publications
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Caldas, M., Georgiou, D.N., Jafari, S. (2007)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Ronto, A.N., Rontó, M., Samoilenko, A.M., Trofimchuk, S.I. (2001)
Georgian Mathematical Journal
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Yamazaki, Noriaki (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Wenjie Gao, Junyu Wang (1995)
Annales Polonici Mathematici
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The periodic boundary value problem u''(t) = f(t,u(t),u'(t)) with u(0) = u(2π) and u'(0) = u'(2π) is studied using the generalized method of upper and lower solutions, where f is a Carathéodory function satisfying a Nagumo condition. The existence of solutions is obtained under suitable conditions on f. The results improve and generalize the work of M.-X. Wang et al. [5].
Ming-Xing Wang, Alberto Cabada, Juan J. Nieto (1993)
Annales Polonici Mathematici
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The purpose of this paper is to study the periodic boundary value problem -u''(t) = f(t,u(t),u'(t)), u(0) = u(2π), u'(0) = u'(2π) when f satisfies the Carathéodory conditions. We show that a generalized upper and lower solution method is still valid, and develop a monotone iterative technique for finding minimal and maximal solutions.
Qi, Aiqin, Liu, Yansheng (2000)
Georgian Mathematical Journal
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M. Medveď (1991)
Annales Polonici Mathematici
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We prove several results on lower bounds for the periods of periodic solutions of some classes of functional-differential equations in Hilbert and Banach spaces and difference inclusions in Hilbert spaces.