Blow up and lifespan of solutions for elastic membrane equation with delay

• Main Authors: Benzahi M., Zara� A., Boulaaras S., Jan R., Iqbal M.
• Other Authors: 57218899355
• Format: Article
• Published: Elsevier B.V. 2025
• Subjects: Mathematical operators; Nonlinear equations; Partial differential equations; Timing circuits; Balakrishnan?taylor damping; Blow-up; Elastic membranes; Initial energy; Lifespans; Membrane equations; Nonlinear elastic membranes; Primary objective; Source terms; Time-delays; Time delay

The primary objective of this research is to examine a nonlinear elastic membrane equation incorporating delay and source terms within a bounded domain. We obtain sufficient conditions on the initial data and the involved functionals for which the energy of solutions with non positive initial energy...