MEASURE PSEUDO ASYMPTOTICALLY BLOCH PERIODIC SOLUTIONS TO INTEGRO-DIFFERENTIAL EQUATIONS IN THERMODYNAMICS OF MEMORY MATERIALS
Yong‐Kui Chang, H.Y. Mao · Journal of Integral Equations and Applications · 2025
We revisit weighted pseudo S-asymptotically (ω,k)-Bloch periodic functions in the light of measure theory. We first present some basic properties of measure pseudo S-asymptotically (ω,k)-Bloch periodic functions in abstract spaces. As applications, we further study some existence results of measure pseudo S-asymptotically (ω,k)-Bloch periodic solutions to semilinear integro-differential equations in Banach spaces arising from thermodynamics of memory materials.