Geodesic
Hamilton–Jacobi functional differential equations with unbounded delay
Adam Nadolski1
1Foundations of Informatics Department Gdańsk University of Technology Narutowicza 11/12 80-952 Gdańsk, Poland
Annales Polonici Mathematici, Tome 82 (2003) no. 2, pp. 105-126
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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.
DOI : 10.4064/ap82-2-2
Keywords: cauchy problem nonlinear functional differential equations haar pyramid considered phase space generalized solutions constructed existence theorem proved using method successive approximations theory characteristics integral inequalities examples phase spaces given

Adam Nadolski  1

1 Foundations of Informatics Department Gdańsk University of Technology Narutowicza 11/12 80-952 Gdańsk, Poland 
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 with unbounded delay
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Adam Nadolski. Hamilton–Jacobi functional differential equations
 with unbounded delay. Annales Polonici Mathematici, Tome 82 (2003) no. 2, pp. 105-126. doi: 10.4064/ap82-2-2

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