Existence theorem of periodic positive solutions for the Rayleigh equation of retarded type.
Wang, Genqiang, Yan, Jurang (2000)
Portugaliae Mathematica
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Wang, Genqiang, Yan, Jurang (2000)
Portugaliae Mathematica
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Marek Galewski (2012)
Open Mathematics
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Using the variational approach, we investigate the existence of solutions and their dependence on functional parameters for classical solutions to the second order impulsive boundary value Dirichlet problems with L1 right hand side.
Fečkan, Michael (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Łenski, Włodzimierz (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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De Coster, C., Habets, P. (1996)
Portugaliae Mathematica
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Minhós, Feliz (1998)
Portugaliae Mathematica
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Grosjean, Carl C. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Partyka, Dariusz, Sakan, Ken-ichi (2005)
Annales Academiae Scientiarum Fennicae. Mathematica
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Lazer, Alan C. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Marek Galewski, Donal O'Regan (2012)
Czechoslovak Mathematical Journal
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In this paper we investigate the existence of solutions to impulsive problems with a -Laplacian and Dirichlet boundary value conditions. We introduce two types of solutions, namely a weak and a classical one which coincide because of the fundamental lemma of the calculus of variations. Firstly we investigate the existence of solution to the linear problem, i.e. a problem with a fixed rigth hand side. Then we use a direct variational method and next a mountain pass approach in order...