An analogue of the d'Alembert formula for the Gurtin-Pipkin equation with multipoint boundary conditions for zero initial data

DOI10.1007/978-3-031-41665-1_18zbMATH Open1548.35269MaRDI QIDQ6609917

Zhalgas Kaiyrbek, B. E. Kanguzhin

Publication date: 24 September 2024

zbMATH Keywords

wave equationcontrol problemabsolute temperatured'Alembert formulaGurtin-Pipkin equation

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Integro-partial differential equations (35R09) PDEs in connection with control and optimization (35Q93)

Cites Work

• A hereditary partial differential equation with applications in the theory of simple fluids
• A general theory of heat conduction with finite wave speeds
• Some remarks on the propagation and non-propagation of discontinuities in linearly viscoelastic liquids
• Linearized dynamics for step jumps of velocity and displacement of shearing flows of a simple fluid
• PROPAGATION OF NONSMOOTH WAVES UNDER SINGULAR PERTURBATIONS OF THE WAVE EQUATION

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