Singularities of singular solutions of first-order differential equations of clairaut type
DOI10.1007/s10883-020-09511-4zbMath1483.58010OpenAlexW3082356881MaRDI QIDQ2070345
Masatomo Takahashi, Kentaro Saji
Publication date: 24 January 2022
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10883-020-09511-4
singular solutionenvelopecuspidal edgeswallowtailfrontal singularitiesClairaut type equationscuspidal butterfly
Implicit ordinary differential equations, differential-algebraic equations (34A09) Singularities of differentiable mappings in differential topology (57R45) Critical points of functions and mappings on manifolds (58K05) Classical solutions to PDEs (35A09)
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