Opuscula Math. 29, no. 1 (2009), 69-79
Uniqueness of solutions of a generalized Cauchy problem for a system of first order partial functional differential equations
Milena Netka
Abstract.
The paper is concerned with weak solutions of a generalized Cauchy problem for a nonlinear system of first order differential functional equations. A theorem on the uniqueness of a solution is proved. Nonlinear estimates of the Perron type are assumed. A method of integral functional inequalities is used.
Keywords:
functional differential equations, comparison methods, estimates of the Perron type.
Mathematics Subject Classification:
35R10, 35L45.
About the authors ▼
Milena Netka
University of Gdansk, Institute of Mathematics, ul. Wita Stwosza 57, 80-952 Gdansk, Poland
About the article ▼
Received: 2008-05-06.
Revised: 2008-06-20.
Accepted: 2008-06-22.
Cite this article as ▼
Milena Netka, Uniqueness of solutions of a generalized Cauchy problem for a system of first order partial functional differential equations, Opuscula Math. 29, no. 1 (2009), 69-79,
http://dx.doi.org/10.7494/OpMath.2009.29.1.69.
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