Some existence and uniqueness results for first-order boundaryvalue problems for impulsive functional differential equationswith infinite delay in Fréchet spaces

摘要

A recent nonlinear alternative for contraction maps inFréchet spaces due to Frigon and Granas is used toinvestigate the existence and uniqueness of solutions tofirst-order boundary value problems for impulsive functionaldifferential equations with infinite delay. An example toillustrate the results is included.