Integral representation of solution manifolds for over determined systems with one singular line
Keyword(s):
In this paper, an over determined system of second-order partial differential equations with one singular line is investigated. A compatibility condition is found for over determined systems of second-order partial differential equations with one singular line. Under the condition of compatibility, introducing a new function, we come to a over determined system of partial differential equations of the second order with one singular line of a simpler form. The integral representation of the manifold of solutions of the redefined second-order partial differential system with one singular line is found explicitly through three arbitrary constants, for which initial data problems (Cauchy type problems) can be posed.
1987 ◽
Vol 106
(1-2)
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pp. 73-88
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2015 ◽
Vol 53
(1)
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pp. 405-420
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2015 ◽
Vol 284
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pp. 807-834
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1961 ◽
Vol 14
(3)
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pp. 171-186
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1992 ◽
Vol 44
(3)
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pp. 371-375
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2018 ◽
Vol 61
(11)
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pp. 1947-1962
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