Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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S-ASYMPTOTICALLY ω-PERIODIC MILD SOLUTIONS FOR THE SYSTEMS OF DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT IN BANACH SPACES

  • Lee, Hyun Mork (Department of Mathematics Chungnam National University) ;
  • Jang, Hyun Ho (Department of Mathematics Chungnam National University) ;
  • Yun, Chan Mi (Department of Mathematics Chungnam National University)
  • Received : 2017.10.24
  • Accepted : 2017.11.02
  • Published : 2018.02.15
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Abstract

By using of the Banach fixed point theorem, the theory of a strongly continuous semigroup of operators and resolvent operator, we investigate the existence and uniqueness of S-asymptotically ${\omega}-periodic$ mild solutions for some differential (integrodifferential) equations with piecewise constant argument when specially ${\omega}$ is an integer.

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References

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