zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Coincidence degree and periodic solutions of neutral equations. (English) Zbl 0274.34070

34C25Periodic solutions of ODE
34K99Functional-differential equations
34A25Analytical theory of ODE (series, transformations, transforms, operational calculus, etc.)
Full Text: DOI
[1] Hale, J. K.: Functional differential equations. Analytic theory of differential equations, 9-22 (1971) · Zbl 0222.34003
[2] Hale, J. K.: Oscillations in neutral functional differential equations. Nonlinear mechanics (1973) · 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
[4] J. Mawhin, The solvability of some operator equations with a quasibounded nonlinearity in normed spaces, J. Math. Anal. Appl., to appear. · Zbl 0307.47060
[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
[8] J. Mawhin, Periodic solutions of some vector retarded functional differential equations, J. Math. Anal. Appl., to appear. · Zbl 0275.34070
[9] Sadovskii, B. N.: Soviet math. Dokl. 12, 1543-1547 (1971)
[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) · 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. \V{c}eskoslovenské akad. Věd. r\breve{}ada 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)