Solvability Theory of Special Integrodifferential Equations in the Class of Generalized Functions

Key Points

• The aim is to explore the solvability of linear integrodifferential equations using generalized functions.
• Examined a linear integrodifferential equation with a special differential operator.
• Developed a generalized version of the collocation method for approximate solutions.
• Justified the application of the proposed method in the context of generalized functions.
• Proposed method provides a viable approach for solving specified equations in generalized function spaces.
• Justification demonstrates the method's reliability in delivering approximate solutions.