Opuscula Mathematica
Opuscula Math. 29, no. 1 (2009), 15-25

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
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Received: 2008-02-07.
Accepted: 2008-04-02.
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Ludwik Byszewski, Strong maximum principles for implicit parabolic functional-differential problems together with nonlocal inequalities with functionals, Opuscula Math. 29, no. 1 (2009), 15-25, http://dx.doi.org/10.7494/OpMath.2009.29.1.15.
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