On the Qualitative Behaviors of Solutions of the Sunflower-Type Equation with Multiple Constant Delays
Abstract
This paper investigates several qualitative behaviors of the solutions for a class of second-order nonlinear delay differential equations (DDEs) characterized by multiple constant delays. Applying the Lyapunov–Krasovskii (LK) approach, together with LaSalle’s Invariance Principle, we derive new conditions for stability when p(t,x,y)≡0 and boundedness and integrability whenever p(t,x,y) is non-zero. The results obtained generalize some existing theorems in the literature to the case of multiple delay configurations, accommodating a wider class of sunflower-type equations.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Mathematical and Theoretical Epidemiology and Ecology Models
Neural Networks Stability and Synchronization
Publication details
- Journal / source
- Axioms
- Publisher
- MDPI AG
- Volume
- 15
- Issue
- 1
- Pages
- 67–67
- Publication date
- 18 January 2026
- Language
- EN