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Application of Liapunov theory to boundary value problems. (English) Zbl 0277.34023


MSC:

34B15 Nonlinear boundary value problems for ordinary differential equations
34D20 Stability of solutions to ordinary differential equations
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References:

[1] Philip Hartman, Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. · Zbl 0123.21502
[2] Lloyd K. Jackson, Subfunctions and second-order ordinary differential inequalities, Advances in Math. 2 (1968), 307 – 363. · Zbl 0197.06401 · doi:10.1016/0001-8708(68)90022-4
[3] Taro Yoshizawa, Note on the solutions of a system of differential equations, Mem. Coll. Sci. Univ. Kyoto. Ser. A. Math. 29 (1955), 249 – 273. · Zbl 0067.31503
[4] Paul B. Bailey, Lawrence F. Shampine, and Paul E. Waltman, Nonlinear two point boundary value problems, Mathematics in Science and Engineering, Vol. 44, Academic Press, New York-London, 1968. · Zbl 0169.10502
[5] Taro Yoshizawa, Stability theory by Liapunov’s second method, Publications of the Mathematical Society of Japan, No. 9, The Mathematical Society of Japan, Tokyo, 1966.
[6] A. Lasota and Z. Opial, On the existence and uniqueness of solutions of a boundary value problem for an ordinary second-order differential equation, Colloq. Math. 18 (1967), 1 – 5. · Zbl 0155.41401
[7] John H. George, On Okamura’s uniqueness theorem, Proc. Amer. Math. Soc. 18 (1967), 764 – 765. · Zbl 0153.10803
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