Opuscula Math. 29, no. 1 (2009), 15-25
http://dx.doi.org/10.7494/OpMath.2009.29.1.15

Opuscula Mathematica

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

Ludwik Byszewski

Abstract. 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 $$(n+1)$$-dimensional time-space sets more general than the cylindrical domain.

Keywords: strong maximum principles, implicit parabolic problems, nonlocal inequalities.

Mathematics Subject Classification: 35B50, 35R45, 35K20.

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