An application of the antimaximum principle for a fourth order periodic problem

We study the existence of solutions for a periodic fourth order problem. We prove an associated uniform antimaximum principle and develop a method of upper and lower solutions in reversed order. Furthermore, by the quasilinearization method we construct an iterative sequence that converges quadratic...

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Autores principales: Amster, P., De Nápoli, P.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_14173875_v_n_p1_Amster
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Sumario:We study the existence of solutions for a periodic fourth order problem. We prove an associated uniform antimaximum principle and develop a method of upper and lower solutions in reversed order. Furthermore, by the quasilinearization method we construct an iterative sequence that converges quadratically to a solution.