Periodic solutions of quasi-differential equations

Abdelkader Boucherif, Eduardo García-Río and Juan J. Nieto

International Journal of Stochastic Analysis, 1996, vol. 9, 1-10

Abstract:

Existence principles and theorems are established for the nonlinear problem L u = f ( t , u ) where L u = − ( p u ′ ) ′ + h u is a quasi-differential operator and f is a Carathéodory function. We prove a maximum principle for the operator L and then we show the validity of the upper and lower solution method as well as the monotone iterative technique.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:241932

DOI: 10.1155/S1048953396000020

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