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Properties of solutions of certain nonlinear differential equations of the formx″+g(x)x′2+f(x)=0

✍ Scribed by W. R. Utz

Book ID
112746129
Publisher
Springer
Year
1969
Tongue
English
Weight
408 KB
Volume
81
Category
Article
ISSN
0373-3114

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📜 SIMILAR VOLUMES

Differential invariants of nonlinear equ
Differential invariants of nonlinear equations vtt=f(x,vx)vxx+g(x,vx)
✍ N.H Ibragimov; M Torrisi; A Valenti 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 213 KB

We assumed in Theorem 2 that l 1 6 ¼ 0, where l 1 is the expression defined by Eq. ( 77). If l 1 ¼ 0, the corresponding Eq. ( 8) should be considered separately. Furthermore, the cases l 2 ¼ 0 and l 3 ¼ 0 (see Eqs. ( 78) and ( 79)) are also exceptional because of the following lemma: q