Periodic solutions of nonlinear boundary value problems of the second kind
Farlow, S.J. (1973)
Portugaliae mathematica
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Farlow, S.J. (1973)
Portugaliae mathematica
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Ashordia, M. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Maurizio Badii (2000)
Publicacions Matemàtiques
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We consider a class of degenerate reaction-diffusion equations on a bounded domain with nonlinear flux on the boundary. These problems arise in the mathematical modelling of flow through porous media. We prove, under appropriate hypothesis, the existence and uniqueness of the nonnegative weak periodic solution. To establish our result, we use the Schauder fixed point theorem and some regularizing arguments.
Ashordia, M. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Vejvoda, O.
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Jean Mawhin (1994)
Acta Mathematica et Informatica Universitatis Ostraviensis
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I.G. Götz, K. Hoffmann, A. Meirmanov (1993)
Manuscripta mathematica
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