Hale, Jack K.; Mawhin, J. Coincidence degree and periodic solutions of neutral equations. (English) Zbl 0274.34070 J. Differ. Equations 15, 295-307 (1974). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 62 Documents MSC: 34C25 Periodic solutions to ordinary differential equations 34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument) 34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. PDF BibTeX XML Cite \textit{J. K. Hale} and \textit{J. Mawhin}, J. Differ. Equations 15, 295--307 (1974; Zbl 0274.34070) Full Text: DOI References: [1] Hale, J. K., Functional differential equations, (Hsieh, P. F.; Stoddart, A. W.J, Analytic Theory of Differential Equations (1971), Springer: Springer Berlin), 9-22 · Zbl 0189.39904 [2] Hale, J. K., Oscillations in neutral functional differential equations, (Nonlinear Mechanics (1973), C.I.M.E., Edizioni Cremonese: C.I.M.E., Edizioni Cremonese Roma) · Zbl 0267.34064 [3] Mawhin, J., Equivalence theorems for nonlinear operator equations and coinci-dence degree theory for some mappings in locally convex topological vector spaces, J. Differential Equations, 12, 610-636 (1972) · Zbl 0244.47049 [5] Mawhin, J., Periodic solutions of nonlinear functional differential equations, J. Differential Equations, 10, 240-261 (1971) · Zbl 0223.34055 [6] Cronin, J., Periodic solutions of nonautonomous equations, Boll. Univ. Mat. Ital. (4), 6, 45-54 (1972) · Zbl 0269.34062 [7] Fennell, R. E., Periodic solutions of functional differential equations, J. Math. Anal. Appl, 39, 198-201 (1972) · Zbl 0243.34126 [9] Sadovskii, B. N., Soviet Math. Dokl, 12, 1543-1547 (1971) · Zbl 0238.47044 [10] Cruz, M. A.; Hale, J. K., Stability of functional differential equations of neutral type, J. Differential Equations, 7, 334-355 (1970) · Zbl 0191.38901 [11] Kato, T., Perturbation Theory for Linear Operators (1966), Springer: Springer Berlin · Zbl 0148.12601 [12] Ghanas, A., The theory of compact vector fields and some of its applications to topology of functional spaces (I), Rozpravy Mat. Přírod Věd. Československé Akad. Věd. R̆ada, 30, 1-93 (1962) [13] Miranker, W., Periodic solutions of the wave equation with a nonlinear interface condition, IBM J. Res. Develop, 5, 2-24 (1961) · Zbl 0148.08405 [14] Lopes, O., Asymptotic fixed point theorems and forced oscillations in neutral equations, (Ph.D. Thesis (June 1973), Brown University: Brown University Providence, Rhode Island) 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.