East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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EXISTENCE AND REGULARITY FOR SEMILINEAR NEUTRAL DIFFERENTIAL EQUATIONS IN HILBERT SPACES

  • Jeong, Jin-Mun (Department of Applied Mathematics, Pukyong National University)
  • Received : 2014.09.02
  • Accepted : 2014.09.26
  • Published : 2014.09.30
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Abstract

In this paper, we construct some results on the existence and regularity for solutions of neutral functional differential equations with unbounded principal operators in Hilbert spaces. In order to establish the existence and regularity for solutions of the neutral system by using fractional power of operators and the local Lipschtiz continuity of nonlinear term without using many of the strong restrictions considering in the previous literature.

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References

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