Geodesic
Functional differential inequalities with unbounded delay
Z. Kamont1 ; S. Kozie/l2
1 Institute of Mathematics University of Gdańsk Wit Stwosz St. 57 80-952 Gdańsk, Poland
2 Faculty of Electr. Telecomm. and Inf. Technical University of Gdańsk Narutowicz St. 11–12 80-952 Gdańsk, Poland
Annales Polonici Mathematici, Tome 88 (2006) no. 1, pp. 19-37.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Classical solutions of functional partial differential inequalities with initial boundary conditions are estimated by maximal solutions of suitable problems for ordinary functional differential equations. Uniqueness of solutions and continuous dependence on given functions are obtained as applications of the comparison result. A theorem on weak functional differential inequalities generated by mixed problems is proved. Our method is based on an axiomatic approach to equations with unbounded delay. Examples of phase spaces are given.
DOI : 10.4064/ap88-1-2
Keywords: classical solutions functional partial differential inequalities initial boundary conditions estimated maximal solutions suitable problems ordinary functional differential equations uniqueness solutions continuous dependence given functions obtained applications comparison result theorem weak functional differential inequalities generated mixed problems proved method based axiomatic approach equations unbounded delay examples phase spaces given

Z. Kamont 1 ; S. Kozie/l 2

1 Institute of Mathematics University of Gdańsk Wit Stwosz St. 57 80-952 Gdańsk, Poland
2 Faculty of Electr. Telecomm. and Inf. Technical University of Gdańsk Narutowicz St. 11–12 80-952 Gdańsk, Poland 
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Z. Kamont; S. Kozie/l. Functional differential inequalities with unbounded delay. Annales Polonici Mathematici, Tome 88 (2006) no. 1, pp. 19-37. doi : 10.4064/ap88-1-2. http://geodesic.mathdoc.fr/articles/10.4064/ap88-1-2/

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