Abstract
This chapter is devoted to second order equations and is organized as follows. First we deal with general linear homogeneous equations, including linear independence of solutions and the reduction of order. Then we discuss general linear nonhomogeneous equations. Sections 5.5 and 5.6 deal with the constant coefficients case. Section 5.7 is devoted to the study of oscillation theory and the oscillatory behavior of solutions. Finally, in the last section we deal with some nonlinear equations.
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© 2015 Springer International Publishing Switzerland
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Ahmad, S., Ambrosetti, A. (2015). Second order equations. In: A Textbook on Ordinary Differential Equations. UNITEXT(), vol 88. Springer, Cham. https://doi.org/10.1007/978-3-319-16408-3_5
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DOI: https://doi.org/10.1007/978-3-319-16408-3_5
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-16407-6
Online ISBN: 978-3-319-16408-3
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