The method of lower and upper solutions is an elementary but powerful tool in the existence theory of initial and periodic problems for semilinear differential equations for which a maximum principle holds, even in cases where no special structure is assumed on the nonlinearity. The aim of this work is to show that this method is also quite effective for investigating the qualitative properties of solutions, at the same extent of generality for which the existence theory is developed.
A Qualitative Analysis, via Lower and Upper Solutions, of First Order Periodic Evolutionary Equations with Lack of Uniqueness.
OBERSNEL, Franco;OMARI, PIERPAOLO
2006-01-01
Abstract
The method of lower and upper solutions is an elementary but powerful tool in the existence theory of initial and periodic problems for semilinear differential equations for which a maximum principle holds, even in cases where no special structure is assumed on the nonlinearity. The aim of this work is to show that this method is also quite effective for investigating the qualitative properties of solutions, at the same extent of generality for which the existence theory is developed.File in questo prodotto:
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