A geometric analysis of a singular ODE related to the study of a quasilinear PDE.
Tuomela, Jukka (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Tuomela, Jukka (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Shi, Peihu, Wang, Mingxin (2006)
Journal of Inequalities and Applications [electronic only]
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Yarur, Cecilia S. (1996)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Korkut, Luka, Pas̆ić, Mervan, Z̆ubrinić (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Rabtsevich, V.A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Rabtsevich, V.A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Kusano, Takaŝi, Naito, Manabu (2000)
Journal of Inequalities and Applications [electronic only]
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Garcia-Huidobro, Marta (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Jesús Ildefonso Díaz, José Evaristo Saa (1992)
Publicacions Matemàtiques
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We show the uniqueness of the very singular self-similar solution of the equation ut - Δ pum + uq = 0. The result is carried out by studying the stationary associate equation and by introducing a suitable change of unknown. That allows to assume the zero-order perturbation term in the new equation to be monotone increasing. A careful study of the behaviour...
Zhou, W.S., Cai, S.F. (2006)
Lobachevskii Journal of Mathematics
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Masatomo Takahashi (2007)
Colloquium Mathematicae
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A complete solution of an implicit second order ordinary differential equation is defined by an immersive two-parameter family of geometric solutions on the equation hypersurface. We show that a completely integrable equation is either of Clairaut type or of first order type. Moreover, we define a complete singular solution, an immersive one-parameter family of singular solutions on the contact singular set. We give conditions for existence of a complete solution and a complete singular...
J.D. Keckic (1977)
Publications de l'Institut Mathématique [Elektronische Ressource]
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