Mild solution of semilinear evolution equation on an unbounded interval and its application in second‐order hyperbolic PDE
The aim of this paper is to discuss the existence of the mild solution for the infinite system of second‐order hyperbolic PDE with boundary/initial value problem with nonlocal condition on an unbounded interval of the shape where , and is an open set of . Our approaches rely on the method of the measures of noncompactness.
Authors
- Reza Allahyari (ORCID: https://orcid.org/0000-0002-3445-118X)
- Hojjatollah Amiri Kayvanloo
- Mahnaz Khanehgir (ORCID: https://orcid.org/0000-0002-7435-7307)
- Effat Gohari Moghaddam
Institutions
- Islamic Azad University, Mashhad (IR)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2024-12-01
- DOI
- https://doi.org/10.1002/mma.10584
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00