Lakshmikantham, V. Lyapunov function and a basic inequality in delay-differential equations. (English) Zbl 0109.31203 Arch. Ration. Mech. Anal. 10, 305-310 (1962). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 Documents Keywords:ordinary differential equations PDF BibTeX XML Cite \textit{V. Lakshmikantham}, Arch. Ration. Mech. Anal. 10, 305--310 (1962; Zbl 0109.31203) Full Text: DOI References: [1] Antosiewicz, H. A.: An inequality for approximate solutions of ordinary differential equations. Math. Z. 78, 44-52 (1962). · Zbl 0107.28802 [2] Conti, R.: Sulla prolungabilit? delle soluzioni di un sistema di equazioni differenziali ordinarie. Boll. Unione Mat. Ital. 11, 510-514 (1956). · Zbl 0072.30403 [3] Coddington, E. A., & N. Levinson: Theory of Ordinary Differential Equations. New York: McGraw-Hill 1955. · Zbl 0064.33002 [4] Franklin, J.: On the existence of the solutions of functional differential equations. Proc. Amer: Math. Soc. 5, 363-369 (1954). · Zbl 0055.31701 [5] Hale, J. K.: Asymptotic behaviour of the solutions of differential-difference equations. RIAS T R 61-10. [6] Kamke, E.: Differentialgleichungen reeller Funktionen. Leipzig 1930. · JFM 56.0375.03 [7] Krasovskii, N.: Some Problems in the Theory of Stability of Motion. Moscow 1959. [8] Langenhop, C. E.: Bounds on the norm of a solution of a general differential equation. Proc. Amer. Math. Soc. 11, 795-799 (1960). · Zbl 0102.08101 [9] Lakshmikantham, V.: Upper and lower bounds of the norm of solutions of differential systems. (To appear in Proc. Amer. Math. Soc.) · Zbl 0117.05302 [10] Lakshmikantham, V.: On the extension of the Lyapunov method to various problems of differential systems. MRC T R 277. (To appear in the Michigan Math. Jour.) [11] Myshkis, A. D.: General theory of differential equations with a retarded argument. AMS Translation 55 (1951). [Original: UMN 33, 99-141 (1949).] · Zbl 0035.17801 [12] Razumikhin, B. S.: On the stability of systems with retardation. Prik. 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.