Existence of solutions of first-order differential equations via a fixed point theorem for discontinuous operators
نویسندگان
چکیده
*Correspondence: [email protected] Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, Campus Sur, Santiago de Compostela, 15782, Spain Abstract We use a recent Schauder-type result for discontinuous operators in order to look for solutions for first-order differential equations subject to initial functional conditions. We show how this abstract fixed-point result allows us to consider a nonlinearity which can be strongly discontinuous. Some examples of applications and comparison with recent literature are included.
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تاریخ انتشار 2015