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Regularity for Semilinear Neutral Hyperbolic Equations with Cosine Families

Author

Listed:
  • Seong-Ho Cho

    (Department of Applied Mathematics, Pukyong National University, Busan 608-737, Korea)

  • Jin-Mun Jeong

    (Department of Applied Mathematics, Pukyong National University, Busan 608-737, Korea)

Abstract

The purpose of this paper is to obtain the regularity for solutions of semilinear neutral hyperbolic equations with the nonlinear convolution. The principal operator is the infinitesimal generator of a cosine and sine families. In order to show a variation of constant formula for solutions, we make of using the nature of cosine and sine families.

Suggested Citation

  • Seong-Ho Cho & Jin-Mun Jeong, 2020. "Regularity for Semilinear Neutral Hyperbolic Equations with Cosine Families," Mathematics, MDPI, vol. 8(7), pages 1-14, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1157-:d:384702
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