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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Yamazaki, Noriaki (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Bokalo, Mykola, Dmytryshyn, Yuriy (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Wang, Zhiyong, Zhang, Jihui (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Nguetseng, Gabriel, Nnang, Hubert (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Almira, Jose María, Del Toro, Naira (2003)
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].
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.
Dalmasso, Robert (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Krisner, Edward P. (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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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.
Ali, Jaffar, Shivaji, R. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Yan, Baoqiang (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ye, Guo-Rong, Ding, Hui-Sheng, Wu, Xi-Lang (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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