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Existence and uniqueness of solutions for abstract integro-differential equations with state-dependent delay and applications - MaRDI portal

Existence and uniqueness of solutions for abstract integro-differential equations with state-dependent delay and applications (Q2120554)

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Existence and uniqueness of solutions for abstract integro-differential equations with state-dependent delay and applications
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    Existence and uniqueness of solutions for abstract integro-differential equations with state-dependent delay and applications (English)
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    1 April 2022
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    In this paper, the authors study the existence and uniqueness of solutions for a general class of abstract ordinary integro-differential equation with state dependent delay. The results are obtained by using a fixed point theorem. Some examples arising in the population dynamics and in the Solow's theory of economic growth are presented.
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    state-dependent delay
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    Lipschitz solutions
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    integro-differential equations
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    Solow's theory
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    population dynamics
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