Hamilton–Jacobi functional differential equations with unbounded delay
Volume 82 / 2003
Annales Polonici Mathematici 82 (2003), 105-126 MSC: 35R10, 35D05. DOI: 10.4064/ap82-2-2
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.