Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We consider viscosity solutions for first order differential-functional equations. Uniqueness theorems for initial, mixed, and boundary value problems are presented. Our theorems include some results for generalized ("almost everywhere") solutions.
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
65-75
Opis fizyczny
Daty
wydano
1994
otrzymano
1993-01-18
Twórcy
autor
- Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland
Bibliografia
- [1] A. Augustynowicz and Z. Kamont, On Kamke's functions in uniqueness theorems for first order partial differential-functional equations, Nonlinear Anal. 14 (1990), 837-850.
- [2] M. G. Crandall, L. C. Evans and P. L. Lions, Some properties of viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 282 (1984), 487-502.
- [3] M. G. Crandall and P. L. Lions, Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 277 (1983), 1-42.
- [4] Z. Kamont, On the Cauchy problem for system of first order partial differential-functional equations, Serdica 5 (1979), 327-339.
- [5] S. N. Kruzhkov, Generalized solutions of nonlinear first order partial differential equations, Mat. Sb. 70 (1966), 394-415 (in Russian).
- [6] S. N. Kruzhkov, Generalized solutions of the Hamilton-Jacobi equations of eikonal type. I, Mat. Sb. 98 (1975), 450-493 (in Russian).
- [7] V. Lakshmikantham and S. Leela, Differential and Integral Inequalities, Academic Press, New York, 1969.
- [8] H. Leszczyński, A contribution to the uniqueness theory for first-order partial differential-functional systems, Dissertationes Math., to appear.
- [9] P. L. Lions, Generalized Solutions of Hamilton-Jacobi Equations, Pitman, London, 1982.
- [10] J. Szarski, Differential Inequalities, PWN, Warszawa, 1967.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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