Oza, PriyankPriyankOzaTyagi, JagmohanJagmohanTyagi2025-08-312025-08-312024-01-012-s2.0-85197250766https://d8.irins.org/handle/IITG2025/29123We establish a Lyapunov-type inequality for a class of mixed local- nonlocal operator. We employ solution representation formula for the associated boundary value problem. Furthermore, as an application of the Lyapunov-type inequality, we show a positive lower bound for the generalized principal eigenvalue of the operator.falseDirichlet boundary value problem | Lyapunov inequality | Nonlocal and local operators | Principal eigenvalue | Probabilistic representationArticle21893764273-28120241arJournal