A sufficient condition for the existence of multiple periodic solutions of differential inclusions
Ralf Bader (1996)
Banach Center Publications
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Ralf Bader (1996)
Banach Center Publications
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Philip Heath (1999)
Banach Center Publications
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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 → ±∞.
Zeng, Zhijun (2006)
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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Pienia̧żek, Leszek, Wójcik, Klaudiusz (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Electronic Journal of Differential Equations (EJDE) [electronic only]
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Cheng, Sui Sun, Zhang, Guang (2001)
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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