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 Uspekhi Mat. Nauk, 1977, Volume 32, Issue 2(194), Pages 173–202 (Mi umn3133)

On certain problems in the theory of differential equations with deviating argument

A. D. Myshkis

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English version:
Russian Mathematical Surveys, 1977, 32:2, 181–213

Bibliographic databases:

UDC: 517.9
MSC: 35B65, 35R10, 35B40, 45D05, 47G20

Citation: A. D. Myshkis, “On certain problems in the theory of differential equations with deviating argument”, Uspekhi Mat. Nauk, 32:2(194) (1977), 173–202; Russian Math. Surveys, 32:2 (1977), 181–213

Citation in format AMSBIB
\Bibitem{Mys77} \by A.~D.~Myshkis \paper On certain problems in the theory of differential equations with deviating argument \jour Uspekhi Mat. Nauk \yr 1977 \vol 32 \issue 2(194) \pages 173--202 \mathnet{http://mi.mathnet.ru/umn3133} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=492443} \zmath{https://zbmath.org/?q=an:0356.34082|0378.34052} \transl \jour Russian Math. Surveys \yr 1977 \vol 32 \issue 2 \pages 181--213 \crossref{https://doi.org/10.1070/RM1977v032n02ABEH001623} 

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1. C. Corduneanu, V. Lakshmikantham, “Equations with unbounded delay: a survey”, Nonlinear Analysis: Theory, Methods & Applications, 4:5 (1980), 831
2. Yu. V. Egorov, “Equations of principal type. Sufficient conditions for local solvability”, Math. USSR-Sb., 44:4 (1983), 517–525
3. A. B. Antonevich, A. V. Lebedev, “On spectral properties of operators with a shift”, Math. USSR-Izv., 23:2 (1984), 201–224
4. A. B. Antonevich, “Symbol of a functional-pseudodifferential operator on a compact manifold”, Funct. Anal. Appl., 22:4 (1988), 313–315
5. Jacques Bélair, Michael C. Mackey, “Consumer memory and price fluctuations in commodity markets: An integrodifferential model”, J Dyn Diff Equat, 1:3 (1989), 299
6. V. A. Rvachev, “Compactly supported solutions of functional-differential equations and their applications”, Russian Math. Surveys, 45:1 (1990), 87–120
7. É. A. Nazirova, Ya. T. Sultanaev, “On the Deficiency Indices of Singular Differential Operators in the Degenerate Case”, Math. Notes, 71:1 (2002), 131–135
8. L. A. Beklaryan, “Introduction to the theory of functional differential equations and their applications. Group approach”, Journal of Mathematical Sciences, 135:2 (2006), 2813–2954
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11. A. S. Andreev, “The Lyapunov functionals method in stability problems for functional differential equations”, Autom. Remote Control, 70:9 (2009), 1438–1486
12. Zhegalov V.I., “Kharakteristicheskaya granichnaya zadacha dlya giperbolicheskogo uravneniya so smescheniem argumentov iskomoi funktsii”, Doklady akademii nauk, 446:5 (2012), 490–490
13. E. A. Utkina, “A characteristic boundary problem for a third-order equation with a psedoparabolic operator where the desired function has shifted arguments”, Russian Math. (Iz. VUZ), 58:2 (2014), 45–50
14. Peiguang Wang, Qing Xu, Xiaojing Liu, “Integral Stability in Terms of Two Measures for Nonlinear Differential Systems with “Maxima””, Abstract and Applied Analysis, 2014 (2014), 1
15. E. A. Utkina, “On a third order equations with pseudoparabolic operator and with shift of arguments of sought-for function”, Russian Math. (Iz. VUZ), 59:5 (2015), 52–57
16. E. A. Utkina, “Characteristic boundary-value problem for a system of first-order partial differential equations with a shift of arguments of the sought-for function”, Russian Math. (Iz. VUZ), 59:7 (2015), 56–61
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