Non-autonomous Inhomogeneous Boundary Cauchy Problems and Retarded Equations

  title={Non-autonomous Inhomogeneous Boundary Cauchy Problems and Retarded Equations},
  author={M. Moussi}
  • M. Moussi
This type of problems presents an abstract formulation of several natural equations such as retarded differential equations, retarded (difference) equations, dynamical population equations and neutral differential equations. In the autonomous case (A(t) = A, L(t) = L, φ(t) = φ) the Cauchy problem (IBCP ) was studied by Greiner [2,3]. He used a perturbation of domain of generator of semigroups, and showed the existence of classical solutions of (IBCP ) via variation of constants formula. In the… CONTINUE READING

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Showing 1-8 of 8 references

Semilinear boundary conditions for evolution equations of hyperbolic type, Lecture

G. Greiner
Notes in Pure and Appl. Math. vol 116 • 1989
View 4 Excerpts
Highly Influenced

On nonautonomous Functional Differential Equations

N. T. Lan
J. Math. Anal. Appl • 1999
View 2 Excerpts

Quasilinear evolution equations with non-densely defined operators, Diff

N. Tanaka
Integral Eq • 1996
View 1 Excerpt

Perturbing the boundary conditions of a generator

G. Greiner
Houston J. Math • 1987
View 3 Excerpts

Linear evolution equations with time dependent domain, Tübingerbericht Funktionalanalysis

H. Kellermann
View 3 Excerpts

Semigroups of linear operators and applications to partial differential equations

A. Pazy
New york Springer, • 1983
View 2 Excerpts

Linear evolution equations of ”hyperbolic

T. Kato
type, J. Fac. Sci. Tokyo • 1970
View 1 Excerpt

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