Existence and stability of periodic solutions of semilinear neutral type systems

Discrete and Continuous Dynamical Systems

Volumn 7, Issue 4, 2001, Pages 809-820

  Gil', M I ^a  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

Functional differential equations; Nonlinear neutral systems; Orbital stability; Periodic solutions

Indexed keywords

EID: 0035615875     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2001.7.809     Document Type: Article

References (12)

1. T.A. Burton (1985), "Stability of Periodic Solutions of Ordinary and Functional Differential Equations," Academic Press, New York.
2. M.I. Gil' (1995), "Norm Estimations for Operator-valued Functions and Applications," Marcel Dekker, Inc. New York.
3. M.I. Gil' (1996), ON SOLVABILITY OF NONLINEAR EQUATIONS IN LATTICE NORMED SPACES, Acta Sci. Math. (Szeged), vol. 62, 201-215.
4. M.I. Gil' (1998), "Stability of Finite and Infinite Dimensional Systems," Kluwer Academic Publishers, Boston-Dordrecht-London.
5. K. Gopalsamy (1992), "Stability and Oscillations in Delay Differential Equations of Population Dynamics," Kluwer Academic Publishers, Dordrecht.
6. J.K. Hale (1977), "Theory of Functional Differential Equations," Springer-Verlag, New York.
7. J.K. Hale and S.M. Verduyn Lunel (1993), "Introduction to Functional Differential Equations," Springer-Verlag, New York.
8. V.B. Kolmanovskii and A.D. Myshkis (1998), "Introduction to Theory and Applications of Functional Differential Equations," Kluwer Academic Publishers, Dordrecht.
9. A.M. Krasnosel'skii (1995), "Asymptotic of Nonlinearities and Operator Equations," Birkhäuser Verlag, Basel-Boston-London.
10. M.A. Krasnosel'skii, J. Lifshits, and A. Sobolev (1989), "Positive Linear Systems. The Method of Positive Operators," Heldermann Verlag, Berlin.
11. B.Z. Vulikh (1967), "Introduction to the Theory of Partially Ordered spaces," Wolters-Noordhoff Scientific Publications LTD, Groningen.
12. L. Wen (2000), ON THE PREPERIODIC SETS, Discrete and Continuous Dynamical Systems, vol. 6, 237-242.