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- W2014053460 abstract "In this paper, we consider the existence and multiplicity of periodic solutions of the problem <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=u prime plus upper A u contains-as-member g left-parenthesis t comma u right-parenthesis> <mml:semantics> <mml:mrow> <mml:msup> <mml:mi>u</mml:mi> <mml:mo>′</mml:mo> </mml:msup> <mml:mo>+</mml:mo> <mml:mi>A</mml:mi> <mml:mi>u</mml:mi> <mml:mo>∋<!-- ∋ --></mml:mo> <mml:mi>g</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>t</mml:mi> <mml:mo>,</mml:mo> <mml:mi>u</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>u’ + Au ni g(t,u)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> where <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper A> <mml:semantics> <mml:mi>A</mml:mi> <mml:annotation encoding=application/x-tex>A</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is a subdifferential of a convex function defined in a Hilbert space <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper H> <mml:semantics> <mml:mi>H</mml:mi> <mml:annotation encoding=application/x-tex>H</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=g colon upper R times upper H right-arrow upper H> <mml:semantics> <mml:mrow> <mml:mi>g</mml:mi> <mml:mo>:</mml:mo> <mml:mi>R</mml:mi> <mml:mo>×<!-- × --></mml:mo> <mml:mi>H</mml:mi> <mml:mo stretchy=false>→<!-- → --></mml:mo> <mml:mi>H</mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>g:R times H to H</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is a Carathéodory function periodic with respect to the first variable." @default.
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- W2014053460 title "Existence of periodic solutions for nonlinear evolution equations in Hilbert spaces" @default.
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