Global Existence for Two Singular One-Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay Term

In this current work, we are interested in a system of two singular one-dimensional nonlinear equations with a viscoelastic, general source and distributed delay terms. The existence of a global solution is established by the theory of potential well, and by using the energy method with the function of Lyapunov, we prove the general decay result of our system.

• singular source terms
• distributed delay
• global existence
• potential well theory
• energy method
• Lyapunov function
• general decay
• one-dimensional systems

• Stability and Controllability of Differential Equations
• Nonlinear Differential Equations Analysis
• Differential Equations and Boundary Problems
• singular source terms
• distributed delay
• global existence
• potential well theory
• energy method
• Lyapunov function
• general decay
• one-dimensional systems
• Control and Systems Engineering
• Applied Mathematics
• Engineering
• Mathematics