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• W178495510 endingPage "175" @default.
• W178495510 startingPage "149" @default.
• W178495510 abstract "The operators corresponding to third-order equations considered in this chapter generate ideals of differential dimension (1, 3). Therefore, by Kolchin’s Theorem 2.1, these equations have a differential fundamental system containing three undetermined functions of a single argument. The remarks on the structure of the solutions of linear pde’s on page 91 apply here as well. Similar as for second-order equations, various cases differing by leading derivatives are distinguished. As opposed to second-order equations, third-order equations have virtually never been treated in the literature before." @default.
• W178495510 created "2016-06-24" @default.
• W178495510 creator A5036199382 @default.
• W178495510 date "2012-01-01" @default.
• W178495510 modified "2023-09-24" @default.
• W178495510 title "Solving Homogeneous Third-Order Equations" @default.
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• W178495510 doi "https://doi.org/10.1007/978-3-7091-1286-1_7" @default.
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