Functional differential inequalities with unbounded delay

• Autorzy: Z. Kamont , S. Kozieł
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35R10: Partial functional-differential equations
• 34K12: Growth, boundedness, comparison of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2006
• Tom: 88
• Numer: 1
• Strony: 19-37

Daty

wydano

2006

Twórcy

autor

Z. Kamont

• Institute of Mathematics, University of Gdańsk, Wit Stwosz St. 57, 80-952 Gdańsk, Poland

autor

S. Kozieł

• Faculty of Electr. Telecomm. and Inf., Technical University of Gdańsk, Narutowicz St. 11-12, 80-952 Gdańsk, Poland

Identyfikatory

DOI

10.4064/ap88-1-2