Functional differential equations and nonlinear semigroups in Lp-spaces |
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| Authors: | GF Webb |
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| Institution: | 1. Vanderbilt University, Nashville, Tennessee 37235, U.S.A.;2. Università di Roma, Istituto Matematico “Guido Castelnuovo”, 00100 Roma, Italia |
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| Abstract: | The autonomous nonlinear functional differential equation x(t) = F(xt), t ? 0, x0 = φ is studied as a semigroup of nonlinear operators in Lp function spaces. The method employed is to construct a semigroup of nonlinear operators which may be associated with the solutions of this equation. New existence and stability results are obtained for this equation by means of the semigroup approach. |
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