Existence for a class of partial functional differential equations with infinite delay

Nonlinear Analysis, Theory, Methods and Applications

Volumn 46, Issue 1, 2001, Pages 91-112

  Adimy, Mostafa ^a   Bouzahir, Hassane ^b   Ezzinbi, Khalil ^b  

^a UNIVERSITÉ DE PAU ET DES PAYS DE L'ADOUR   (France)

^b FACULTÉ DES SCIENCES SEMLALIA   (Morocco)

Author keywords

Integrated semigroup; Partial functional differential equations; Semigroup of linear operators

Indexed keywords

BOUNDARY CONDITIONS; INTEGRATION; LINEAR EQUATIONS; MATHEMATICAL OPERATORS; STATE SPACE METHODS; THEOREM PROVING; VARIATIONAL TECHNIQUES;

INTEGRATED SEMIGROUP THEORY; LINEAR OPERATORS; LIPSCHITZ CONTINUOUS INTEGRATED SEMIGROUPS;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0035480445     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00447-2     Document Type: Article

References (29)

1. Local existence and linearized stability for partial functional differential equations
2. Resolvent positive operators and integrated semigroup
3. Vector valued Laplace transforms and Cauchy problems
4. Linear theory of abstract functional differential equations of retarded type
5. Convergence theorems for integrated semigroups
6. Equations with unbounded delay
7. Differential operators with non-dense domains
8. Phase space for retarded equations with infinite delay
9. Periodic solutions of quasi-linear partial functional differential equations with unbounded delay
10. Approximation of abstract functional differential equations with unbounded delay
11. Regularity of solutions of abstract retarded functional differential equations with unbounded delay
12. Fonctional differential equations with infinite delay
13. Some considerations to the fundamental theory of infinite delay equations
14. Integrated semigroup
15. Theory of differential equations with unbounded delay
16. Nonlinear hyperbolic Volterra integrodifferential equations
17. Integrated semigroups and their applications to the abstract Cauchy problems
18. Reaction-diffusion equations with infinite delay
19. Existence and continuous dependence for differential equations with unbounded delay
20. An existence theorem of a functional differential equation
21. Integrated semigroups and integrated solutions to abstract Cauchy problems
22. Existence and stability for partial functional differential equations
23. Existence, stability and compactness in the α-norm for partial functional differential equations
24. Autonomous nonlinear functional differential equations and nonlinear semigroups
25. Asymptotic stability for abstract functionnal differential equations