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- W2004605652 abstract "In this paper we study differential inclusions with boundary conditions in which the vector field <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$Fleft( {t,x,y} right)$><mml:mi>F</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>,</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math> is a multifunction with Caratheodory type conditions. We consider, first, the case which <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$F$><mml:mi>F</mml:mi></mml:math> has values in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$mathbb{R}$><mml:mi>ℝ</mml:mi></mml:math> and we establish the existence of extremal solutions in the order interval determined by the lower and the upper solution. Then we prove the existence of solutions for a Dirichlet problem in the case in which <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$F$><mml:mi>F</mml:mi></mml:math> takes their values in a Hilbert space." @default.
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- W2004605652 date "2001-01-01" @default.
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- W2004605652 title "Periodic and boundary value problems for second order differential inclusions" @default.
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- W2004605652 doi "https://doi.org/10.1155/s1048953301000120" @default.
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