Abstract
A large number of mathematical models, particularly in the physical sciences and engineering, consist of IVPs or BVPs for second-order DEs. Among the latter, a very important role is played by linear equations. Even if the model is nonlinear, the study of its linearized version can provide valuable hints about the quantitative and qualitative behavior of the full model, and perhaps suggest a method that might lead to its complete solution.
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Constanda, C. (2013). Linear Second-Order Equations. In: Differential Equations. Springer Undergraduate Texts in Mathematics and Technology. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7297-1_4
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DOI: https://doi.org/10.1007/978-1-4614-7297-1_4
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