A generalization of the Landesman-Lazer condition.
Tomiczek, Petr (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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A generalization of the Landesman-Lazer condition.
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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 .
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