Hamilton-Jacobi functional differential equations with unbounded delay
Adam Nadolski
Annales Polonici Mathematici, Tome 81 (2003), p. 105-126 / Harvested from The Polish Digital Mathematics Library

The Cauchy problem for nonlinear functional differential equations on the Haar pyramid is considered. The phase space for generalized solutions is constructed. An existence theorem is proved by using the method of successive approximations. The theory of characteristics and integral inequalities are used. Examples of phase spaces are given.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:280689
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     author = {Adam Nadolski},
     title = {Hamilton-Jacobi functional differential equations with unbounded delay},
     journal = {Annales Polonici Mathematici},
     volume = {81},
     year = {2003},
     pages = {105-126},
     zbl = {1059.35157},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-2-2}
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Adam Nadolski. Hamilton-Jacobi functional differential equations with unbounded delay. Annales Polonici Mathematici, Tome 81 (2003) pp. 105-126. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-2-2/