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Bernfeld, Stephen R.; Lakshmikantham, V.; Leela, S.

Nonlinear boundary value problems and several Lyapunov functions. (English) Zbl 0264.34025

J. Math. Anal. Appl. 42, 545-553 (1973).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 2 Documents

MSC:

34B15 Nonlinear boundary value problems for ordinary differential equations
34D20 Stability of solutions to ordinary differential equations
34A40 Differential inequalities involving functions of a single real variable
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References:

[1] Bellman, R., Vector Lyapunov functions, J. SIAM Ser. AI, 32-34 (1962) · Zbl 0144.10901
[2] George, J. H.; Sutton, W. G., Application of Lyapunov theory to boundary value problems, (Proc. Amer. Math. Soc., 25 (1970)), 666-671 · Zbl 0277.34023
[3] Hartman, P., Ordinary Differential Equations (1964), Wiley: Wiley New York · Zbl 0125.32102
[4] Jackson, L., Subfunctions and second order ordinary differential inequalities, Advan. Math., 2, 307-363 (1968) · Zbl 0197.06401
[5] Jackson, L.; Schrader, K., Comparison theorems for nonlinear differential equations, J. Differential Equations, 3, 248-255 (1967) · Zbl 0149.29701
[6] Lakshmikantham, V.; Leela, S., (Differential and Integral Inequalities, Vol. 1 (1969), Academic Press: Academic Press New York) · Zbl 0177.12403
[7] Schrader, K., Solutions of second order ordinary differential equations, J. Differential Equations, 4, 510-518 (1968) · Zbl 0174.13503
[8] Yoshizawa, T., Stability Theory by Liapunov’s Second Method (1966), Mathematics Society of Japan: Mathematics Society of Japan Tokyo · Zbl 0144.10802
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