Periodic boundary value problems for impulsive fuzzy differential equations

Authors:
Rosana Rodríguez-López
Affiliations:
Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, Spain
Venue:
Fuzzy Sets and Systems
Year:
2008

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Abstract

The peculiarity of the Hukuhara derivative makes it impossible to find periodic solutions for fuzzy differential equations with the exception of very restrictive situations. In this work, we consider a boundary value problem associated with an impulsive fuzzy differential equation and approximate the extremal solutions in a fuzzy functional interval using the monotone method. Fuzzy comparison results are useful in our procedure and the expression of the solution for some impulsive periodic 'linear' differential problems is also provided.