본문 바로가기
KERD
논문KCI 등재

Non-autonomous Inhomogeneous Boundary Cauchy Problems and Retarded Equations

Mohammed Moussi|M. Filali
경북대학교 자연과학대학 수학과|2004.03|Kyungpook Mathematical Journal|제44권 제1호|pp. 125-136

0

조회

0

다운로드

0

인용

0

참고문헌

주제분류수학

초록

Abstract

In this paper we prove the existence and the uniqueness of the classical solution of non-autonomous inhomogeneous boundary Cauchy problems, and that this solution is given by a variation of constants formula. This result is applied to show the existence of solutions of a retarded equation.

참고문헌 (9)

  1. "One-Parameter Semigroups for Linear Evolution Equations", 194 (2000)
  2. "Perturbing the boundary conditions of a generator", 13, pp.213~229 (1987)
  3. "Maximum norm in one-dimensional hyperbolic prob-lems", 5, pp.421~432 (1992)
  4. "Linear evolution equations of \hyperbolic", pp.241~258 (1970)
  5. "Linear evolution equations with time dependent domain" (1985)
  6. "On nonautonomous Functional Di？？erential Equations", 239, pp.158~174 (1999)
  7. "Time-Dependent operator matrices and inhomogeneousCauchy Problems", pp.5~24 (1998), XLVII
  8. "Semigroups of linear operators and applications to partial di？？erential equa-tions" (1983)
  9. "Quasilinear evolution equations with non-densely de？ned operators", 9, pp.1067~1106 (1996)

관련 논문AI추천

Regularity for semilinear retarded functional integrodifferential equations정진문, 천수진대한수학회 · 대한수학회논문집2013 · 제28권 제3호Nonlocal Cauchy problem for Sobolev type functional integrodifferential equationK. Balachandran대한수학회 · 대한수학회보2002 · 제39권 제4호Viability for semilinear differential equations of retarded typeGang Li, Qixiang Dong대한수학회 · 대한수학회보2007 · 제44권 제4호Nonlinear variational evolution inequalities with nonlocal conditionsDong-Hwa Kim, Jin-Mun Jeong, Jong-Yeoul Park대한수학회 · 대한수학회지2004 · 제41권 제4호Semilinear nonlocal differential equations with delay terms정진문, 천수진대한수학회 · 대한수학회지2013 · 제50권 제3호Bounded and periodic solutions of inhomogeneous linear evolution equationsTrinh Viet Duoc대한수학회 · 대한수학회논문집2021 · 제36권 제4호

이 간행물의 다른 논문 (17건)

A Note on Regularity in Matrix SemiringsShamik Ghoshpp. 1-4On Some Generalization on the Absolute Norlund Summability Factors of Infinite SeriesW. T. Sulaimanpp. 5-10Characterization on Some Related Convergent SeriesW. T. Sulaimanpp. 11-19Commutative Group Algebras of Direct Sums of Countable Abelian GroupsPeter Danchevpp. 21-29The Extension Problem for Exponentially Convex FunctionsA. M. Zabel, Maha A. Bajnaidpp. 31-39
원문 보기