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Fabry, Ch.; Habets, P.

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

J. Differ. Equations 42, 186-198 (1981).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0439.34018

Cited in 1 Review
Cited in 19 Documents

MSC:

34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems

Keywords:

Picard boundary value problem; nonlinear second order vector; differential equations; Leray-Schauder degree theory
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References:

[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, (Proceedings Conf. Qualitative Theory of Differential Equations. Proceedings Conf. Qualitative Theory of Differential Equations, Szeged (1979)) · 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 University Press Cambridge · Zbl 0367.47001
[5] Hartman, P., Ordinary Differential Equations (1964), Wiley-Interscience: Wiley-Interscience New York · Zbl 0125.32102
[6] Bailey, P.; Shampine, L. F.; Waltman, P., Nonlinear Two Point Boundary Value Problems (1968), Academic Press: Academic Press New York · Zbl 0169.10502
[7] Gaines, R. E.; Mawhin, J., Coincidence Degree and Nonlinear Differential Equations, (Lecture Notes in Mathematics No. 568 (1977), Springer-Verlag: Springer-Verlag New York) · Zbl 0326.34021
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