On the Singularities of the Solution to the Cauchy Problem with Singular Data in the Complex Domain.
Takao Kobayashi (1984)
Mathematische Annalen
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Takao Kobayashi (1984)
Mathematische Annalen
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Diblík, Jozef (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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Alexandru Dimca (1984)
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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...
Takuya Tsuchiya (1987/88)
Numerische Mathematik
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Zhou, W.S., Cai, S.F. (2006)
Lobachevskii Journal of Mathematics
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Ladopoulos, E.G., Tsamasphyros, G., Zisis, V.A. (2004)
International Journal of Mathematics and Mathematical Sciences
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Rabtsevich, V.A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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C. Dagnino, A. Palamara Orsi (1985)
Numerische Mathematik
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Rabtsevich, V.A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Estrada, Ricardo (2002)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Jesús M. F. Castillo, Marilda Simoes, Jesús Suárez de la Fuente (2012)
Bulletin of the Polish Academy of Sciences. Mathematics
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We exhibit new examples of weakly compact strictly singular operators with dual not strictly cosingular and characterize the weakly compact strictly singular surjections with strictly cosingular adjoint as those having strictly singular bitranspose. We then obtain new examples of super-strictly singular quotient maps and show that the strictly singular quotient maps in Kalton-Peck sequences are not super-strictly singular.