Search results for "Maximal monotone operator"

showing 2 items of 2 documents

An abstract doubly nonlinear equation with a measure as initial value

2007

Abstract The solvability of the abstract implicit nonlinear nonautonomous differential equation ( A ( t ) u ( t ) ) ′ + B ( t ) u ( t ) + C ( t ) u ( t ) ∋ f ( t ) will be investigated in the case of a measure as an initial value. It will be shown that this problem has a solution if the inner product of A ( t ) x and B ( t ) x + C ( t ) x is bounded below.

Differential equationApplied MathematicsMathematical analysisMonotonic functionNonlinear evolution equationMeasure (mathematics)Nonlinear systemMaximal monotone operatorProduct (mathematics)Bounded functionEvolution equationInitial value problemAnalysisMathematical physicsMathematicsJournal of Mathematical Analysis and Applications
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Doubly nonlinear periodic problems with unbounded operators

2004

Abstract The solvability of the evolution system v ′( t )+ B ( t ) u ( t )∋ f ( t ), v ( t )∈ A ( t ) u ( t ), 0 t T , with the periodic condition v (0)= v ( T ) is investigated in the case where A (t) are bounded, possibly degenerate, subdifferentials and B (t) are unbounded subdifferentials.

Pure mathematicsNonlinear systemMaximal monotone operatorApplied MathematicsBounded functionDegenerate energy levelsArithmeticAnalysisNonlinear evolution systemMathematicsJournal of Mathematical Analysis and Applications
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