Book Review
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Book Information:
Authors:
Nikolai A. Bobylev,
Yuri M. Burman and
Sergey K. Korovin
Title:
Approximation procedures in nonlinear oscillation theory
Additional book information:
Nonlinear Analysis and Applications, vol. 2, Walter de Gruyter,
Berlin,
1994,
xi + 272 pp.,
ISBN 3-11-014132-9,
$79.95$
Philip M. Anselone, Collectively compact operator approximation theory and applications to integral equations, Prentice-Hall Series in Automatic Computation, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1971. With an appendix by Joel Davis. MR 0443383
T. Venkatarayudu, The $7$-$15$ problem, Proc. Indian Acad. Sci., Sect. A. 9 (1939), 531. MR 0000001, DOI 10.1090/gsm/058
I. Győri and G. Ladas, Oscillation theory of delay differential equations, Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, New York, 1991. With applications; Oxford Science Publications. MR 1168471
M. A. Krasnosel′skiĭ, G. M. Vainikko, P. P. Zabreĭko, Ja. B. Rutickiĭ, and V. Ja. Stecenko, Priblizhennoe reshenie operatornykh uravneniĭ, Izdat. “Nauka”, Moscow, 1969 (Russian). MR 0259635
M. A. Krasnosel′skiĭ and P. P. Zabreĭko, Geometrical methods of nonlinear analysis, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 263, Springer-Verlag, Berlin, 1984. Translated from the Russian by Christian C. Fenske. MR 736839, DOI 10.1007/978-3-642-69409-7
[LLZ] G. Ladas, V. Lakshmikantham and B.G. Zhang, Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker, New York, 1987.
Minoru Urabe, Nonlinear autonomous oscillations: Analytical theory, Mathematics in Science and Engineering, Vol. 34, Academic Press, New York-London, 1967. MR 0219820
G. M. Vainikko, Kompaktnaya approksimatsiya operatorov i priblizhennoe reshenie uravneniĭ, Tartu. Gosudarstv. Univ., Tartu, 1970 (Russian). MR 0273475
G. Vaĭnikko and G. Vaĭnikko, Analiz diskretizatsionnykh metodov, Tartu. Gosudarstv. Univ., Tartu, 1976 (Russian). Special course. MR 0494920
- [A]
- P.M. Anselone, Collectively Compact Operator Approximation Theory, Prentice-Hall, Englewood Cliffs, 1971. MR 56:1753
- [EKZ]
- L.H. Erbe, Q. Kong and B.G. Zhang, Oscillation Theory for Functional Differential Equations, Marcel Dekker, New York, 1995.MR 1:309 905
- [GL]
- I. Györi and G. Ladas, Oscillation Theory of Delay Differential Equations, Oxford University Press, Oxford, 1991. MR 93m:34109
- [KV]
- M.A. Krasnosel
skii, G. Vainikko et al., Approximate Solution of Operator Equations (Russian), Nauka, Moscow, 1969; transl. as: Approximate Solution of Operator Equations, Wolters-Noordhoff, Groningen, 1972. MR 41:4271
- [KZ]
- M.A. Krasnosel
skii and P.P. Zabreiko, Geometrical Methods of Nonlinear Analysis, Springer-Verlag, Berlin-Heidelberg, 1984. MR 85b:47057
- [LLZ]
- G. Ladas, V. Lakshmikantham and B.G. Zhang, Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker, New York, 1987.
- [U]
- M. Urabe, Nonlinear Autonomous Oscillations, Academic Press, New York, 1967. MR 36:2898
- [V1]
- G. Vainikko, Compact Approximation of Operators and Approximate Solution of Equations, Tartu. Gosudarstv. Univ., Tartu, 1970. MR 42:8353
- [V2]
- G. Vainikko, Analysis of Discretization Methods (Russian), Tartu. Gosudarstv. Univ., Tartu, 1976; transl. as: Funktionalanalysis der Diskretisierungsmethoden, Teubner Verlag, Leipzig, 1976. MR 58:13699
Review Information:
Reviewer:
Hermann Brunner
Affiliation:
Memorial University of Newfoundland
Email:
hbrunner@kean.ucs.mun.ca
Journal:
Bull. Amer. Math. Soc.
33 (1996), 277-282
DOI:
https://doi.org/10.1090/S0273-0979-96-00649-0
Review copyright:
© Copyright 1996
American Mathematical Society
