An overview of the lower and upper solutions method with nonlinear boundary value conditions.
Cabada, Alberto (2011)
Boundary Value Problems [electronic only]
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Cabada, Alberto (2011)
Boundary Value Problems [electronic only]
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Grossinho, Maria do Rosário, Minhós, Feliz Manuel
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Boris Rudolf (2008)
Mathematica Bohemica
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A periodic boundary value problem for nonlinear differential equation of the second order is studied. Nagumo condition is not assumed on a part of nonlinearity. Existence and multiplicity results are proved using the method of lower and upper solutions. Results are applied to the generalized Liénard oscillator.