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The purpose of this paper is to present strong maximum principles for infinite systems of parabolic differential-functional inequalities with initial inequalities in relatively arbitrary (n+1)-dimensional time-space sets more general than the cylindrical domain.
Wydawca
Rocznik
Tom
Strony
141--148
Opis fizyczny
bibliogr. 13 poz.
Twórcy
autor
- Cracow University of Technology Independend Division of Descriptive Geometry and Engineering Graphics Warszawska 24, 31-155 Cracow, Poland, brandys@ceti.pl
Bibliografia
- [1] P. Besala, An extension of the strong maximum principle for parabolic equations, Bull. Acad. Polon. Sci. Sér. sci. math., astr. et phys. 19 (1971), 1003-1006.
- [2] L. Byszewski, Strong maximum principle for implicit non-linear parabolic functionaldifferential inequalities in arbitrary domains, Zeszyty Naukowe Uniwersytetu Jagiellońskiego, Universitatis Iagellonicae Acta Mathematica 24 (1984), 327-339.
- [3] L. Byszewski, Strong maximum and minimum principles for parabolic functional-differential problems with initial inequalities u (t0, x) _ (_)K, Annales Polonici Mathematici 52 (1990), 187-194.
- [4] D. Jaruszewska-Walczak, Comparison theorems for infinite systems of parabolic functionaldifferential equations, Annales Polonici Mathematici 77.3 (2001), 261-269.
- [5] Z. Kamont, Hyperbolic Functional Differential Inequalities and Applications, Kluwer Acad. Publ., Dordrecht 1999.
- [6] Z. Kamont, Infinite systems of hyperbolic functional differential inequalities, Nonlinear Anal. 51 (2002), 1429-1445.
- [7] R. Redheffer i W. Walter, Das Maximumprinzip in unbeschr¨ankten Gebieten f¨ur parabolische Ungleichungen mit Funktionalen, Math. Ann. 226 (1977), 155-170.
- [8] J. Szarski, Differential inequalities, PWN, Warszawa 1967.
- [9] J. Szarski, Strong maximum principle for non-linear parabolic differential-functional inequalities, Annales Polonici Mathematici 29 (1974), 207-214.
- [10] J. Szarski, Strong maximum principle for non-linear parabolic differential-functional inequalities in arbitrary domains, Annales Polonici Mathematici 31 (1975), 197-203.
- [11] J. Szarski, Infinite systems of parabolic differential-functional inequalities, Bull. Acad. Polon. Sci., Sér. sci. math. 28.9-10 (1980), 477-481.
- [12] W. Walter, Differential and integral inequalities, Springer Verlag, Berlin, Heidelberg, New York 1970.
- [13] W. Walter, On the strong maximum principle for parabolic differential equations, Proc. Edinburgh Math. Soc. 29 (1986), 93-96.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS5-0019-0006