Geodesic
On the Unique Continuation of the Germs of Solutions of First-Order Differential Equations along Curves
Matematičeskie zametki, Tome 102 (2017) no. 6, pp. 917-930

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For solutions of linear, weakly nonlinear, and quasilinear first-order differential equations, we obtain theorems on the unique unbounded continuation of germs along continuous curves contained in the integral submanifolds of the distribution induced by the major part of the equation.
Keywords: germs of solutions, unique definiteness of germs.
Mots-clés : unique continuation 
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     author = {N. A. Shananin},
     title = {On the {Unique} {Continuation} of the {Germs} of {Solutions} of {First-Order} {Differential} {Equations} along {Curves}},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2017},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2017_102_6_a11/}
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N. A. Shananin. On the Unique Continuation of the Germs of Solutions of First-Order Differential Equations along Curves. Matematičeskie zametki, Tome 102 (2017) no. 6, pp. 917-930. http://geodesic.mathdoc.fr/item/MZM_2017_102_6_a11/