Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity

Abstract

Abstract We examine a Kirchhoff-type equation with nonlinear viscoelastic properties, characterized by distributed delay, logarithmic nonlinearity, and Balakrishnan–Taylor damping terms (elastic membrane equation). Under appropriate hypotheses, we establish the occurrence of solution blow-up.

Keywords

• Kirchhoff equation
• Partial differential equations
• Blow-up
• Distributed delay term
• Viscoelastic term
• Logarithmic nonlinearity