×

Linear autonomous neutral functional differential equations. (English) Zbl 0294.34047


MSC:

34K05 General theory of functional-differential equations
34A30 Linear ordinary differential equations and systems
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Hale, J. K., Linear FDEs with constant coefficients, Contrib. Differential Equations, 2, 291-319 (1963)
[2] Hille, E.; Phillips, R. S., (Functional Analysis and Semigroups, Vol. 31 (1957), Amer. Math. Soc. Colloquium Publ: Amer. Math. Soc. Colloquium Publ Providence, RI) · Zbl 0078.10004
[3] Hale, J. K.; Perelló, C., The neighborhood of a singular point of FDEs, Contrib. Differential Equations, 3, 351-375 (1964) · Zbl 0136.07901
[4] M. A. Cruz and J. K. HaleJ. Math. Anal. Appl.; M. A. Cruz and J. K. HaleJ. Math. Anal. Appl. · Zbl 0218.34062
[5] Hale, J. K., Geometric theory of FDEs, (Hale, J. K.; LaSalle, J. P., Differential Equations and Dynamical Systems (1967), Academic Press: Academic Press New York) · Zbl 0189.39904
[6] Hale, J. K.; Meyer, K. R., A class of functional equations of neutral type, Mem. Amer. Math. Soc., 76 (1967) · Zbl 0179.20501
[7] Hale, J. K., Functional differential equations, (Conference on the analytic theory of differential equations (1970), Western Michigan Univ: Western Michigan Univ Kalamazoo, Mich) · Zbl 0189.39904
[8] Hale, J. K.; Cruz, M. A., Asymptotic behavior of neutral FDEs, Arch. Rat. Mech. Anal., 34, 331-353 (1969) · Zbl 0211.12301
[9] Wiener, N.; Pitt, H. R., On absolutely convergent Fourier-Stieltjes transforms, Duke Math. J., 4, 420-436 (1938) · Zbl 0019.16803
[10] Pitt, H. R., A theorem on absolutely convergent trigonometrical series, J. Math. Phys., 16, 191-195 (1937) · Zbl 0018.35303
[11] Levinger, B. W., A folk theorem of FDEs, J. Differential Equations, 4, 612-619 (1968) · Zbl 0174.13902
[12] D. Henry; D. Henry
[13] Levin, B. Ja, Distribution of Zeros of Entire Functions, (Translations of Math. Monographs, v. 5 (1964), Amer. Math. Soc: Amer. Math. Soc Providence, RI) · Zbl 0152.06703
[14] Bellman, R.; Cooke, K., Differential-Difference Equations (1963), Academic Press: Academic Press New York
[15] Henry, D., Small solutions of linear autonomous FDEs, J. Differential Equations, 8 (1970)
[16] Cordoneanu, C., Almost Periodic Functions (1968), Interscience: Interscience New York
[17] Gohberg, I. C.; Krein, M. G., Introduction to the Theory of Linear Nonselfadjoint Operators, (Translations of Math. Monog., v. 18 (1969), Amer. Math. Soc: Amer. Math. Soc Providence, RI) · Zbl 0181.13504
[18] Brumley, W. E., On the asymptotic behavior of solutions of differential-difference equations of neutral type, J. Differential Equations, 7, 175-188 (1970) · Zbl 0215.15405
[19] Dunford, N.; Schwartz, J. T., (Linear Operators, Vol. 1 (1957), Interscience: Interscience New York)
[20] J. K. HaleJ. Differential Equations; J. K. HaleJ. Differential Equations · Zbl 0213.36901
[21] Melvin, W. R., A Class of Neutral FDEs, (Ph.D. thesis (1970), Brown Univ: Brown Univ Providence, RI)
[22] Cooke, K. L., Asymptotic theory for the delay-differential equation \(u\)′\((t)\) = −\( au (t\) − \(r(u(t)))\), J. Math. Anal. Appl., 19, 160-173 (1967) · Zbl 0153.40102
[23] Cooke, K. L., Linear functional differential equations of asymptotically autonomous type, J. Differential Equations, 7, 154-174 (1970) · Zbl 0185.18001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.