Strong maximum principles for implicit parabolic functional-differential problems together with nonlocal inequalities with functionals

• Autorzy: Byszewski L.
• Języki publikacji: EN

Abstrakty

EN

The aim of the paper is to give strong maximum principles for implicit parabolic functional-differential problems together with nonlocal inequalities with functionals in relatively arbitrary (n+l)-dimensional time-space sets more general than the cylindrical domain

Słowa kluczowe

EN

strong maximum principles; implicit parabolic problems; nonlocal inequalities

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2009
• Tom: Vol. 29, no. 1
• Strony: 15--25
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Byszewski L.

• Cracow University of Technology Institute of Mathematics ul. Warszawska 24, 31-155 Cracow, Poland,

Bibliografia

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• [6] Z. Kamont, Hyperbolic functional differential inequalities and applications, Kluwer Academic Publishers, The Netherlands, 1999.
• [7] R. Redheffer, W. Walter, Das Maximumprinzip in unbeschrankten Gebieten fur parabolische Ungleichungen mit Funktionalen, Math. Ann. 226 (1977), 155-170.
• [8] J. Szarski, Differential Inequalities, PWN, Warsaw, 1967.
• [9] J. Szarski, Strong maximum principle for non-linear parabolic differential-functional inequalities, Ann. Polon. Math. 29 (1974), 207-217.
• [10] W. Walter, Differential and integral inequalities, Springer-Verlag, Berlin, Heidelberg, New York, 1970.
• [11] N. Yoshida, Maximum principles for implicit parabolic equations, Proc. Japan Acad. 49 (1973), 785-788.