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The uniqueness result of solutions to initial value problems of differential equations of variable-order

  • Shuqin Zhang
Original Paper
  • 113 Downloads

Abstract

This paper is concerned with the existence and uniqueness of solution to an initial value problem for a differential equation of variable-order. The results are obtained by means of fixed point theorem. The obtained results are illustrated with the aid of examples.

Keywords

Derivatives and integrals of variable-order Initial value problem Piecewise constant functions Uniqueness of solution 

Mathematics Subject Classification

26A33 34A08 

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Copyright information

© Springer-Verlag Italia 2017

Authors and Affiliations

  1. 1.Department of MathematicsChina University of Mining and TechnologyBeijingPeople’s Republic of China

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