Integrated semigroups and integrodifferential equations
Copyright policy )Integrated semigroups and integrodifferential equations
The authors prove some existence, uniqueness and continuous dependence results for two classes of integro-differential equations in a Banach space by using the theory of nondegenerate, locally Lipschitz continuous integrated semigroups. Furthermore, they apply the abstract results to the study of some specific problems in one-dimensional viscoelasticity.
- DigiZeitschriften Germany
- James Madison University United States
- Southern Illinois University Carbondale United States
Banach space, One-parameter semigroups and linear evolution equations, existence, Abstract integral equations, integral equations in abstract spaces, uniqueness, integro-differential equations, Article, Integro-ordinary differential equations, 510.mathematics, nondegenerate locally Lipschitz continuous integrated semigroups, continuous dependence, Dynamical problems in solid mechanics, viscoelasticity
Banach space, One-parameter semigroups and linear evolution equations, existence, Abstract integral equations, integral equations in abstract spaces, uniqueness, integro-differential equations, Article, Integro-ordinary differential equations, 510.mathematics, nondegenerate locally Lipschitz continuous integrated semigroups, continuous dependence, Dynamical problems in solid mechanics, viscoelasticity
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