Existence and uniqueness of pseudo S-asymptotically (w,c)-periodic solutions with measure for some systems of neutral integral equations

Key Points

• The aim is to investigate existence and uniqueness of measure pseudo S-asymptotically (w,c)-periodic solutions for certain integral equations.
• Developed a framework using measure theory to extend periodic functions.
• Applied a fixed point theorem to establish foundational results.
• Utilized differential inequalities to analyze solution properties.
• Identified criteria for the existence of unique solutions.
• Demonstrated new periodic function extensions through theoretical framework.
• Provided a numerical example to illustrate findings.