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- Publisher
- Springer Journals
- Copyright
- 2019 The Editorial Office of AMAS & Springer-Verlag GmbH Germany
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/s10255-019-0832-8
- Publisher site
- See Article on Publisher Site
Abstract
Abstract Using the Mönch fixed point theorem and progressive estimation method, we study the existence, uniqueness and regularity of mild solutions for damped second order impulsive functional differential equations with infinite delay in Banach spaces. The compactness assumption on associated family of operators and the impulsive term, some restrictive conditions on a priori estimation, noncompactness measure estimation and the impulsive term have not been used, our results are different from some known results. Finally, a noncompact semigroup example explains the obtained results.
Journal
"Acta Mathematicae Applicatae Sinica, English Series" – Springer Journals
Published: Jul 1, 2019
Keywords: applications of mathematics; math applications in computer science; theoretical, mathematical and computational physics