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Barr, Dennis; Miletta, Peter

An existence and uniqueness criterion for solutions of boundary value problems. (English) Zbl 0289.34020

J. Differ. Equations 16, 460-471 (1974).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 5 Documents

MSC:

34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34A30 Linear ordinary differential equations and systems
34D20 Stability of solutions to ordinary differential equations
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References:

[1] Barr, D.; Sherman, T., Existence and uniqueness of solutions of three point boundary value problems, Journal of Differential Equations, 13, 197-212 (1973) · Zbl 0261.34014
[2] George, J. H.; Sutton, W. G., Application of Liapunov theory to boundary value problems, (Proc. Amer. Math. Soc., 25 (1970)), 666-671 · Zbl 0277.34023
[3] Hartman, P., Unrestricted \(n\)-parameter families, Rend. Circ. Mat. Palermo, 2, 123-142 (1958) · Zbl 0085.04505
[4] Hartman, P., Ordinary Differential Equations (1964), John Wiley & Sons, Inc: John Wiley & Sons, Inc New York · Zbl 0125.32102
[5] Lasota, A.; Opial, Z., L’existence of l’unicité des solutions de la problème d’interpolation pour l’équation différentielle ordinaire d’ordre \(n\), Ann. Polon. Math., 15, 253-271 (1964) · Zbl 0145.10401
[6] Yoshizawa, T., Stability Theory by Liapunov’s Second Method, (Publication of the Mathematical Society of Japan MR 34 #7896 (1966), Mathematical Society of Japan: Mathematical Society of Japan Tokyo) · Zbl 0144.10802
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