Periodic solutions for a class of non-coercive Hamiltonian systems.
Boughariou, Morched (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Boughariou, Morched (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Fei, Guihua (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Tunç, Cemil (2009)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Fei, Guihua (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Pienia̧żek, Leszek, Wójcik, Klaudiusz (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Anane, Aomar, Chakrone, Omar, Moutaouekkil, Loubna (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Kiguradze, I., Půža, B. (1999)
Georgian Mathematical Journal
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Norimichi Hirano, Noriko Mizoguchi (1996)
Banach Center Publications
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In this paper, we are concerned with the semilinear parabolic equation ∂u/∂t - Δu = g(t,x,u) if u = 0 if , where is a bounded domain with smooth boundary ∂Ω and is T-periodic with respect to the first variable. The existence and the multiplicity of T-periodic solutions for this problem are shown when g(t,x,ξ)/ξ lies between two higher eigenvalues of - Δ in Ω with the Dirichlet boundary condition as ξ → ±∞.
Wang, Zhiyong, Zhang, Jihui (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Shen, Lu-ming, Liu, Yue-hua, Zhou, Yu-yuan (2007)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Massimiliano Berti (2011)
Journées Équations aux dérivées partielles
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We overview recent existence results and techniques about KAM theory for PDEs.
Zeng, Zhijun (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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José L. Bravo, Manuel Fernández, Antonio Tineo (2001)
Extracta Mathematicae
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The objective of this note is the announcement of two results of Ambrosetti-Prodi type concerning the existence of periodic (respectively bounded) solutions of the first order differential equation x' = f (t,x).