Well posedness and stability result for a microtemperature full von Kármán beam with infinite‐memory and distributed delay terms

This work is concerned with a full von Kármán beam in the presence of infinite‐memory, microtemperature, and distributed delay terms. First, we establish the well posedness of the system. Second, we considered the kernel satisfying where ξ and H are functions satisfying some specific properties, and under this very general hypothesis on the behavior of h at infinity, we prove the stability of the system.

• microtemperatures
• infinite memory
• distributed delay
• well-posedness
• stability
• nonlinear partial differential equations
• viscoelasticity

• Stability and Controllability of Differential Equations
• Thermoelastic and Magnetoelastic Phenomena
• Differential Equations and Boundary Problems
• microtemperatures
• infinite memory
• distributed delay
• well-posedness
• stability
• nonlinear partial differential equations
• viscoelasticity
• Control and Systems Engineering
• Mechanics of Materials
• Applied Mathematics
• Engineering
• Mathematics