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Asymptotic behavior of neutral functional differential equations. (English) Zbl 0211.12301
MSC:
34K40Neutral functional-differential equations
34K20Stability theory of functional-differential equations
34K25Asymptotic theory of functional-differential equations
References:
[1]Bellman, R., & K. Cooke, Differential-Difference Equations. Academic Press 1963.
[2]Brayton, R. K., Bifurcation of periodic solutions in a nonlinear difference-differential equation. IBM Research Center Publication 1965.
[3]Cruz, M. A., Exponential bounds on solutions of neutral functional equations, to appear.
[4]Cruz, M. A., & J. K. Hale, Stability of functional differential equations of neutral type, to appear in J. Differential Equations.
[5]Driver, R., Existence and continuous dependence of solutions of a neutral functionaldifferential equation. Arch. Rational Mech. Anal. 19, 147–166 (1965). · Zbl 0148.05703 · doi:10.1007/BF00282279
[6]El’sgol’tz, L. E., Qualitative methods in mathematical analysis. AMS Translations 12 (1964).
[7]Hale, J. K., & M. A. Cruz, Existence, uniqueness and continuous dependence for hereditary systems, to appear in Annali Mat. Pura Appl.
[8]Hale, J. K., & K. R. Meyer, A class of functional equations of neutral type. AMS Memoir 76 (1967).
[9]Riesz, F., & B. Sz.-Nagy, Functional Analysis. Frederick Ungar Publishing Co. 1955.