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Multiple solutions of problems with nonlinear first-order differential operators

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Abstract

In this paper, we establish the existence of solutions to firstorder differential equations with nonlinear differential operators satisfying the periodic boundary value or the initial value conditions. Notions of upper and lower solutions are introduced. Multiplicity results are also presented.

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Correspondence to M. Frigon.

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Les deux premières auteures dédient cet article et expriment leur reconnaissance à leur directeur de recherche, le Professeur Andrzej Granas

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El Khattabi, N., Frigon, M. & Ayyadi, N. Multiple solutions of problems with nonlinear first-order differential operators. J. Fixed Point Theory Appl. 17, 23–42 (2015). https://doi.org/10.1007/s11784-015-0230-7

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