Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators.
Makin, Alexander S., Thompson, H.Bevan (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Makin, Alexander S., Thompson, H.Bevan (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Davidson, F. A., Dodds, N.
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Franzina, Giovanni, Lamberti, Pier Domenico (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Miri, Sofiane El-Hadi (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Davidson, Fordyce A., Dodds, Niall (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ghanbari, Kazem (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Emamizadeh, Behrouz, Fernandes, Ryan I. (2008)
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Libor Báňa, Ondřej Došlý (2014)
Archivum Mathematicum
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We study the generalized half-linear second order differential equation via the associated Riccati type differential equation and Prüfer transformation. We establish a de la Vallée Poussin type inequality for the distance of consecutive zeros of a nontrivial solution and this result we apply to the “classical” half-linear differential equation regarded as a perturbation of the half-linear Euler differential equation with the so-called critical oscillation constant. In the second part...