Correct Solvability of a Mixed Nonlocal Problem for an Evolutional Equation with Involution

Key Points

• The study aims to analyze the solvability of an evolution equation with involution and nonlocal boundary conditions.
• Investigated initial-boundary value problem for the evolution equation.
• Established uniqueness of solutions.
• Described classes of initial-value functions for existence and stability.
• Uniqueness of the solution was established.
• Specific initial-value functions ensuring existence and stability were identified.