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The Picard boundary value problem for nonlinear second order vector differential equations. (English) Zbl 0439.34018

MSC:
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
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[1] Mawhin, J, Two point boundary value problems for nonlinear second order differential equations in Hilbert spaces, Tôhoku math. J., 32, 225-233, (1980) · Zbl 0436.34057
[2] Mawhin, J, The Bernstein-Nagumo problem and two-point boundary value problems for ordinary differential equations, () · Zbl 0497.34020
[3] Schröder, J, Pointwise norm bounds for systems of ordinary differential equations, Univ. Köln. math. inst. report 77-14, (1977)
[4] Lloyd, N.G, Degree theory, (1978), Cambridge University Press Cambridge · Zbl 0367.47001
[5] Hartman, P, Ordinary differential equations, (1964), Wiley-Interscience New York · Zbl 0125.32102
[6] Bailey, P; Shampine, L.F; Waltman, P, Nonlinear two point boundary value problems, (1968), Academic Press New York · Zbl 0169.10502
[7] Gaines, R.E; Mawhin, J, Coincidence degree and nonlinear differential equations, () · Zbl 0326.34021
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