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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.
Adam Nadolski. "Hamilton-Jacobi functional differential equations with unbounded delay." Annales Polonici Mathematici 82.2 (2003): 105-126. <http://eudml.org/doc/280689>.
@article{AdamNadolski2003, abstract = {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.}, author = {Adam Nadolski}, journal = {Annales Polonici Mathematici}, keywords = {unbounded delay; initial value problems; Haar pyramid; generalized solutions}, language = {eng}, number = {2}, pages = {105-126}, title = {Hamilton-Jacobi functional differential equations with unbounded delay}, url = {http://eudml.org/doc/280689}, volume = {82}, year = {2003}, }
TY - JOUR AU - Adam Nadolski TI - Hamilton-Jacobi functional differential equations with unbounded delay JO - Annales Polonici Mathematici PY - 2003 VL - 82 IS - 2 SP - 105 EP - 126 AB - 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. LA - eng KW - unbounded delay; initial value problems; Haar pyramid; generalized solutions UR - http://eudml.org/doc/280689 ER -