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VOLTERRA INTEGRAL EQUATIONS AND NONLINEAR SEMIGROUPS
Nonlinear Analysis: Theory, Methods & Applications, 1977Publisher Summary This chapter discusses Volterra integral equations and nonlinear semigroups. It presents the nonlinear Volterra integral equation x ( t ) = y ( t ) + ∫ g ( t − s , x ( s )) ds , t ≥ 0, where H is a Hilbert space, y : [0, ∞) → H is given, g : [0, ∞) × H → satisfies a Lipschitz condition in its second place, and x :
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Stochastic Differential Equations with Nonlinear Semigroups
ZAMM, 2002Summary: The purpose of this article is to investigate the solution of a nonlinear stochastic evolution equation by using the theory of nonlinear semigroups. A concept of weak solutions is introduced and the existence, uniqueness, and continuity of this solution are shown.
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Nonlinear Semigroups and Applications
1993Our aim is to study problems which are governed by the abstract Cauchy problem $$ \begin{array}{*{20}{c}} {\frac{{du\left( t \right)}}{{dt}} = A\left( {u\left( t \right)} \right){\text{ }}t > 0} \\ {u\left( 0 \right) = f.} \end{array} $$ (ACP)
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Well-posed problem of nonlinear singular distributed parameter systems and nonlinear GE-semigroup
Science China Information Sciences, 2013Zhaoqiang Ge, Ge Zhaoqiang
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Nonlinear semigroup arising in the control of diffusions with partial observation
Stochastic and Stochastics Reports, 1990A Bensoussan
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Flow-invariant closed sets with respect to nonlinear semigroup flows
Nonlinear Differential Equations and Applications, 2003V Barbu
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Gevrey Class Regularity of a Semigroup Associated with a Nonlinear Korteweg-de Vries Equation
Chinese Annals of Mathematics Series B, 2018Jean-Michel Coron +2 more
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