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Existence of Periodic Solutions of Nonlinear Boundary Value Problems and the Method of Upper and Lower Solutions

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Existence of Periodic Solutions of Nonlinear Boundary Value Problems and the Method of Upper and Lower Solutions

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Title: Existence of Periodic Solutions of Nonlinear Boundary Value Problems and the Method of Upper and Lower Solutions
Author: Lakshmikantham, V.; Kannan, R.
Abstract: We study the existence of periodic solutions of second order nonlinear differential equations by combining the method of upper and lower solutions and the method of Alternative problems. Besides including previous results of other authors, we obtain criteria which are easily verifiable. These criteria are in a form that they can be adapted for partial differential equations of parabolic and elliptic type.
URI: http://hdl.handle.net/10106/2434
Date: 1981-11

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