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- Title
Controllability results for second-order integro-differential equations with state-dependent delay.
- Authors
Bensalem, Abdelhamid; Salim, Abdelkrim; Benchohra, Mouffak; Nieto, Juan J.
- Abstract
The purpose of this study is to use resolvent operators to investigate the existence and the controllability of a mild solution to a second-order semilinear integro-differential problem. To construct our criterion, we use a fixed point theorem in conjunction with measures of noncompactness. A practical example is used to illustrate the obtained results.
- Subjects
RESOLVENTS (Mathematics); INTEGRO-differential equations; DELAY differential equations
- Publication
Evolution Equations & Control Theory, 2023, Vol 12, Issue 6, p1
- ISSN
2163-2480
- Publication type
Article
- DOI
10.3934/eect.2023026