The role of the Lagrange constant in some nonlinear waves equations.
Ben-Naoum, Abdou Kouider (1999)
Rendiconti del Seminario Matematico
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Ben-Naoum, Abdou Kouider (1999)
Rendiconti del Seminario Matematico
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Arango, Horacio, Cossio, Jorge (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Mawhin, J. (2000)
Rendiconti del Seminario Matematico
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Vendula Honzlová Exnerová (2012)
Commentationes Mathematicae Universitatis Carolinae
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The paper is devoted to the study of the properties of the Fučík spectrum. In the first part, we analyse the Fučík spectra of the problems with one second order ordinary differential equation with Dirichlet, Neumann and mixed boundary conditions and we present the explicit form of nontrivial solutions. Then, we discuss the problem with two second order differential equations with mixed boundary conditions. We show the relation between the Dirichlet boundary value problem and mixed boundary...
Cazenave, Thierry, Weissler, Fred B. (1995)
Portugaliae Mathematica
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Amster, Pablo (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ma, Shiwang, Wang, Zhicheng (1999)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Dambrosio, W. (1999)
Rendiconti del Seminario Matematico
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Minhós, Feliz (1998)
Portugaliae Mathematica
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Rahmat A. Khan, Bashir Ahmad (2005)
Archivum Mathematicum
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In this paper, we develop a generalized quasilinearization technique for a nonlinear second order periodic boundary value problem and obtain a sequence of approximate solutions converging uniformly and quadratically to a solution of the problem. Then we improve the convergence of the sequence of approximate solutions by establishing the convergence of order .