First Order Partial Functional Differential Equations with Unbounded Delay
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| 024 | 7 | 0 | |a 10.1515/GMJ.2003.509 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/GMJ.2003.509 | ||
| 245 | 0 | 0 | |a First Order Partial Functional Differential Equations with Unbounded Delay |h [Elektronische Daten] |c [Z. Kamont, S. Kozieł] |
| 520 | 3 | |a The phase space for nonlinear hyperbolic functional differential equations with unbounded delay is constructed. The set of axioms for generalized solutions of initial problems is presented. A theorem on the existence and continuous dependence upon initial data is given. The Cauchy problem is transformed into a system of integral functional equations. The existence of solutions of this system is proved by the method of successive approximations and by using theorems on integral inequalities. Examples of phase spaces are given. | |
| 540 | |a © Heldermann Verlag | ||
| 690 | 7 | |a unbounded delay |2 nationallicence | |
| 690 | 7 | |a bicharacteristics |2 nationallicence | |
| 690 | 7 | |a local existence |2 nationallicence | |
| 690 | 7 | |a generalized solutions |2 nationallicence | |
| 700 | 1 | |a Kamont |D Z. |u Institute of Mathematics, University of Gdańsk, Wit Stwosz Street 57, 80-952 Gdańsk, Poland. E-mail: zkamont@math.univ.gda.pl |4 aut | |
| 700 | 1 | |a Kozieł |D S. |u Institute of Mathematics, University of Gdańsk, Wit Stwosz Street 57, 80-952 Gdańsk, Poland |4 aut | |
| 773 | 0 | |t Georgian Mathematical Journal |d Walter de Gruyter GmbH & Co. KG |g 10/3(2003-09), 509-530 |x 1072-947X |q 10:3<509 |1 2003 |2 10 |o GMJ | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/GMJ.2003.509 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/GMJ.2003.509 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kamont |D Z. |u Institute of Mathematics, University of Gdańsk, Wit Stwosz Street 57, 80-952 Gdańsk, Poland. E-mail: zkamont@math.univ.gda.pl |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kozieł |D S. |u Institute of Mathematics, University of Gdańsk, Wit Stwosz Street 57, 80-952 Gdańsk, Poland |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Georgian Mathematical Journal |d Walter de Gruyter GmbH & Co. KG |g 10/3(2003-09), 509-530 |x 1072-947X |q 10:3<509 |1 2003 |2 10 |o GMJ | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||