본문 바로가기
KERD
논문KCI 등재

Regularity for semilinear retarded functional integrodifferential equations

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

The purpose of this paper is to establish existence, uniqueness and a variation of constant formula of solutions for semilinear partial functional differential equations with unbounded delays and nonlinear part involving integrodifferetial terms.

Abstract

The purpose of this paper is to establish existence, uniqueness and a variation of constant formula of solutions for semilinear partial functional differential equations with unbounded delays and nonlinear part involving integrodifferetial terms.

참고문헌 (9)

  1. J. P. Aubin, "Un theor´eme de compacit´e", C. R. Acad. Sci. Paris, 56, pp.5042~5044 (1963)
  2. G. Di Blasio, "L2-regularity for parabolic partial integrodif- ferential equations with delay in the highest-order derivatives", J. Math. Anal. Appl, 102(1), pp.38~57 (1984)
  3. W. E. Fitzgibbon, "Semilinear integro-differential equations in Banach space", Nonlinear Anal, 4(4), pp.745~760 (1980)
  4. M. L. Heard, "An abstract semilinear hyperbolic Volterra integro-differential equation", J. Math. Anal. Appl, 80(1), pp.175~202 (1981)
  5. J. M. Jeong, "Structural operators anf semigroups associated with functional-differential equations in Hilbert space", Osaka J. Math, 30(3), pp.365~395 (1993)
  6. J. M. Jeong, "Retarded functional-differential equations with L1-valued controller", Funk- cial. Ekvac, 36(1), pp.71~93 (1993)
  7. H. Tanabe, "Fundamental solutions of differential equation with time delay in Banach space", Funkcial. Ekvac, 35(1), pp.149~177 (1992)
  8. H. Triebel, "Interpolation Theory, Function Spaces, Differential Operators" (1978), North- Holland
  9. J. Yong, "Quasi-linear parabolic partial differential equations with delays in the highest order spatial derivatives", J. Austral. Math. Soc. Ser. A, 54(2), pp.174~203 (1993)

관련 논문AI추천

이 간행물의 다른 논문 (19건)