Impulsive partial neutral differential equations

Applied Mathematics Letters

Volumn 19, Issue 3, 2006, Pages 215-222

  Hernández M, Eduardo ^a   Henríquez, Hernán R ^b  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b UNIVERSIDAD DE SANTIAGO DE CHILE   (Chile)

Author keywords

Impulsive differential equations; Neutral differential equations; Semigroups of bounded linear operators

Indexed keywords

MATHEMATICAL OPERATORS;

IMPULSIVE DIFFERENTIAL EQUATIONS; NEUTRAL DIFFERENTIAL EQUATIONS;

DIFFERENTIAL EQUATIONS;

EID: 29144511302     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2005.04.005     Document Type: Article

References (16)

1. S.K. Ntouyas, Y.G. Sficas, and P.Ch. Tsamatos Existence results for initial value problems for neutral functional-differential equations J. Differential Equations 114 2 1994 527 537
2. J.K. Hale, and S.M.V. Lunel Introduction to Functional-Differential Equations Applied Mathematical Sciences vol. 99 1993 Springer-Verlag New York
3. M. Adimy, and K. Ezzinbi Strict solutions of nonlinear hyperbolic neutral differential equations Appl. Math. Lett. 12 1 1999 107 112
4. R. Datko Linear autonomous neutral differential equations in a Banach space J. Differential Equations 25 2 1977 258 274
5. E. Hernández, and H.R. Henríquez Existence results for partial neutral functional differential equations with unbounded delay J. Math. Anal. Appl. 221 2 1998 452 475
6. E. Hernández, and H.R. Henríquez Existence of periodic solutions of partial neutral functional differential equations with unbounded delay J. Math. Anal. Appl. 221 2 1998 499 522
7. E. Hernández Existence results for partial neutral integrodifferential equations with unbounded delay J. Math. Anal. Appl. 292 1 2004 194 210
8. Y.V. Rogovchenko Impulsive evolution systems: main results and new trends Dyn. Contin. Discrete Impuls. Syst. 3 1 1997 57 88
9. J.H. Liu Nonlinear impulsive evolution equations Dyn. Contin. Discrete Impuls. Syst. 6 1 1999 77 85
10. M. Benchohra, J. Henderson, and S.K. Ntouyas Impulsive neutral functional differential inclusions in Banach spaces Appl. Math. Lett. 15 8 2002 917 924
11. M. Benchohra, and A. Ouahab Impulsive neutral functional differential equations with variable times Nonlinear Anal. 55 6 2003 679 693
12. M. Benchohra, and A. Ouahab Impulsive neutral functional differential inclusions with variable times Electron. J. Differential Equations 67 2003 12 (electronic)
13. M. Benchohra, J. Henderson, and S.K. Ntouyas Existence results for impulsive multivalued semilinear neutral functional differential inclusions in Banach spaces J. Math. Anal. Appl. 263 2 2001 763 780
14. M. Benchohra, J. Henderson, and S.K. Ntouyas Semilinear impulsive neutral functional differential inclusions in Banach spaces Appl. Anal. 81 4 2002 951 963
15. A. Pazy Semigroups of Linear Operators and Applications to Partial Differential Equations Applied Mathematical Sciences vol. 44 1983 Springer-Verlag New York, Berlin
16. Y. Hino, S. Murakami, and T. Naito Functional-Differential Equations with Infinite Delay Lecture Notes in Mathematics vol. 1473 1991 Springer-Verlag Berlin