TY - JOUR
T1 - Wellposedness of impulsive functional abstract second-order differential equations with state-dependent delay
AU - Karthikeyan, Kulandhivel
AU - Tamizharasan, Dhatchinamoorthy
AU - Abdeljawad, Thabet
AU - Nisar, Kottakkaran Sooppy
N1 - Publisher Copyright:
© 2022 Walter de Gruyter GmbH, Berlin/Boston.
PY - 2023/6/1
Y1 - 2023/6/1
N2 - This study investigates the functional abstract second order impulsive differential equation with state-dependent delay. The major result of this study is that the abstract second-order impulsive differential equation with state-dependent delay system has at least one solution and is unique. After that, the wellposed condition is defined. Following that, we look at whether the proposed problem is wellposed. Finally, some illustrations of our findings are provided.
AB - This study investigates the functional abstract second order impulsive differential equation with state-dependent delay. The major result of this study is that the abstract second-order impulsive differential equation with state-dependent delay system has at least one solution and is unique. After that, the wellposed condition is defined. Following that, we look at whether the proposed problem is wellposed. Finally, some illustrations of our findings are provided.
KW - cosine function
KW - impulsive neutral equation
KW - state dependent delay
KW - wellposedness
UR - https://www.scopus.com/pages/publications/85130872748
U2 - 10.1515/ijnsns-2021-0160
DO - 10.1515/ijnsns-2021-0160
M3 - Article
AN - SCOPUS:85130872748
SN - 1565-1339
VL - 24
SP - 1355
EP - 1368
JO - International Journal of Nonlinear Sciences and Numerical Simulation
JF - International Journal of Nonlinear Sciences and Numerical Simulation
IS - 4
ER -