Existence and stability of nonlinear functional differential equations

Journal of Mathematical Analysis and Applications

Volumn 197, Issue 3, 1996, Pages 890-907

  Sengadir, T ^a  

^a INSTITUTE OF MATHEMATICAL SCIENCES   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030080087     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0060     Document Type: Article

References (11)

1. 1. R. Bellman, On an application of a Banach-Steinhaus theorem to the study of solutions of nonlinear differential and difference equations, Ann. of Math. 49 (1948), 515-522.
2. 2. K. Deimling, "Nonlinear Functional Analysis," Springer-Verlag, Berlin/Heidelberg, 1985.
3. 3. R. D. Driver, Existence and continuous dependence of solutions of neutral functional differential equations, Arch. Rational Mech. Anal. 19 (1965), 149-166.
4. 4. A. Iserles, On the generalised pantograph functional differential equation, European J. Appl. Math. 4 (1993), 1-38.
5. 5. A. Iserles and Y. Liu, "On Neutral Functional Differential Equations with Proportional Delays," Cambridge University Tech. Rep. DAMPT 1993/NA3, 1993.
6. 6. A. Iserles and Y. Liu, "On Pantograph Integro-Differential Equations," Cambridge University Tech. Rep. DAMPT, 1993/NA13, 1993.
7. 7. A. Iserles and J. Terjeki, "Stability and Asymptotic Stability of Functional-Differential Equations," Cambridge University Tech. Rep. DAMPT 1992/NA1, 1992.
8. 8. Y. Kuang and A. Feldstein, Monotonic and oscillatory solutions of a linear neutral delay equation with infinite lag, SIAM. J. Math. Anal. 21 (1990), 1633-1641.
9. 9. J. R. Ockendon and A. B. Tayler, The dynamics of a current collection system for an electric locomotive, Proc. Roy. Soc. London Ser. A. 322 (1971), 447-468.
10. 10. W. V. Petryshyn, Fixed point theorems for various classes of 1-set contractive and 1-ball contractive mappings in Banach spaces, Trans. Amer. Math. Soc. 182 (1973), 323-352.
11. 11. T. Sengadir, D. V. Pai, and A. K. Pani, A Leray-Schauder type theorem and applications to boundary value problems for neutral equations, Preprint.