Abstract
A theorem of H. Weyl is extended by the establishment of bound estimates on some of the solutions of the second-order Duffing-type differential equation y″(x) + p(x)y′(x) = q(x) [y(x)]2k+1, where x ∈ J = {x: 0 ≤ x < ω ≤ ∞}, k = 0,1,2,..., and both p(x) and q(x) are continuous functions of x on J (with q(x) > 0).
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© 1983 Springer Basel AG
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Ross, D.K., Wallace, R.J. (1983). Bound Estimates on Solutions of a Second-Order Differential Equation of Duffing Type. In: Beckenbach, E.F., Walter, W. (eds) General Inequalities 3. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 64. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6290-5_34
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DOI: https://doi.org/10.1007/978-3-0348-6290-5_34
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-6292-9
Online ISBN: 978-3-0348-6290-5
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