On mild solutions of nonlocal second order semilinear functional integro-differential equations
2014
scientific article
english
- existence
- uniqueness
- functional
- integro-differential equation
- fixed point
- second order
- cosine family
EN In the present paper, we investigate the existence, uniqueness and continuous dependence on initial data of mild solutions of second order nonlocal semilinear functional integro-differential equations of more general type with delay in Banach spaces. Our analysis is based on the theory of strongly continuous cosine family of operators and modified version of Banach contraction theorem.
65 - 75
CC BY-NC-ND (attribution - noncommercial - no derivatives)
public
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