Aftabizadeh, A. R.; Wiener, Joseph Oscillatory properties of first order linear functional differential equations. (English) Zbl 0553.34045 Appl. Anal. 20, 165-187 (1985). Oscillatory properties of retarded and advanced functional differential equations are investigated. In the first part, the study concerns equations with piecewise constant arguments, which found applications in certain biomedical problems. Then, results of some authors are generalized for general equations with many argument deviations. Finally, applications are given to equations with linear transformations of the argument. Cited in 24 Documents MSC: 34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument) 34K10 Boundary value problems for functional-differential equations Keywords:oscillatory properties; functional differential equations PDFBibTeX XMLCite \textit{A. R. Aftabizadeh} and \textit{J. Wiener}, Appl. Anal. 20, 165--187 (1985; Zbl 0553.34045) Full Text: DOI References: [1] Busenberg, S. and Cooke, K. L. 1982.Nonlinear Phenomena in Mathematical Sciences, Edited by: Lakshmikan-tham, V. 179–187. New York: Academic Press. [2] Cooke K. L., J. Mathematical Anal. & Appl 99 (1) pp 265– (1984) · Zbl 0557.34059 · doi:10.1016/0022-247X(84)90248-8 [3] Kitamura Y., Proc. Amer. Math. Soc 78 (1) pp 64– (1980) · doi:10.1090/S0002-9939-1980-0548086-5 [4] Kusano T., J. Differential Equations 15 (1) pp 269– (1974) · Zbl 0292.34078 · doi:10.1016/0022-0396(74)90079-5 [5] Ladas G., Applicable Anal 9 (1) pp 93– (1979) · Zbl 0407.34055 · doi:10.1080/00036817908839256 [6] Ladas, G., Lakshmikantham, V. and Papadakis, J. S. 1972.Delay and Functional Differential Equations and Their Applications, 219–231. New York: Academic Press. [7] Ladas G., J. Differential 44 pp 134– (1982) · Zbl 0452.34058 · doi:10.1016/0022-0396(82)90029-8 [8] Ladas G., Funkcial. Ekvac 25 pp 103– (1982) [9] Ladde G. S., Atti Accad. Naz. Lincei Rend. CI. Sci. Fis. Mat. Natur 63 pp 351– (1977) [10] Onose H., Funkcia1. Ekvac 26 pp 189– (1983) [11] Shah S. M., Internat. J. Math & Math. Sci 4 pp 671– (1983) · Zbl 0534.34067 · doi:10.1155/S0161171283000599 [12] Singh B., SIAM J. Math. Anal 10 (1) pp 18– (1979) · Zbl 0397.34038 · doi:10.1137/0510002 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.