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Lakshmikantham, V.; Rama Mohana Rao, M.

Integro-differential equations and extension of Lyapunov’s method. (English) Zbl 0174.16303

J. Math. Anal. Appl. 30, 435-447 (1970).
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Cited in 9 Documents

MSC:

45J05 Integro-ordinary differential equations

Keywords:

Integro-differential equations of Volterra type
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\textit{V. Lakshmikantham} and \textit{M. Rama Mohana Rao}, J. Math. Anal. Appl. 30, 435--447 (1970; Zbl 0174.16303)
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References:

[1] Corduneanu, C., Quelques problèmes qualitatifs de la théorie des équations intégro-différentielles, (Colloq. Math., 18 (1967)), 77-87 · Zbl 0171.09703
[3] Driver, R. D., Existence and stability of solutions of a delay-differential system, Arch. Rat. Mech. Anal., 10, 401-426 (1962) · Zbl 0105.30401
[4] Lakshmikantham, V., Lyapunov function and a basic inequality in delay-differential equations, Arch. Rat. Mech. Anal., 10, 305-310 (1962) · Zbl 0109.31203
[5] Lakshmikantham, V., Functional differential systems and extension of Lyapunov’s method, J. Math. Anal. Appl., 8, 392-405 (1964) · Zbl 0119.11902
[6] Levin, J. J., The asymptotic behavior of the solution of a Volterra equation, (Proc. Amer. Math. Soc., 14 (1963)), 534-541 · Zbl 0115.32403
[7] Levin, J. J., The qualitative behavior of a non-linear Volterra equation, (Proc. Amer. Math. Soc., 16 (1965)), 711-718 · Zbl 0141.11003
[8] Levin, J. J.; Nohel, J. A., Note on a non-linear Volterra equation, (Proc. Amer. Math. Soc., 14 (1963)), 924-929 · Zbl 0151.16904
[9] Levin, J. J.; Nohel, J. A., Perturbations of non-linear Volterra equations, Michigan Math. J., 12, 431-444 (1965) · Zbl 0139.29304
[10] Levin, J. J.; Nohel, J. A., A system of non-linear integro-differential equations, Michigan Math. J., 13, 251-270 (1966) · Zbl 0147.10504
[11] Nohel, J. A., Remarks on Non-Linear Volterra Equations, (Proceedings of U. S. — Japan Seminar at the University of Minnesota (1967), Benjamin: Benjamin New York) · Zbl 0388.45013
[12] Razumikhin, B. S., On the stability of systems with retardation, Prikl. Math. Mech., 20, 500-512 (1956)
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.