Coincidence degree and periodic solutions of neutral equations. (English) Zbl 0274.34070


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.
Full Text: DOI


[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)
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