A uniqueness theorem for a Boltzmann equation arising in coagulation–fragmentation dynamics

We examine the general coagulation-fragmentation equation which can be written as (1)∂c(x,t)∂t = 12 ∫0x K(x−y,y)c(x−y,t)c(y,t)dy  + ∫0∞  F(x,y)c(x+y,t)dy                             − c(x,t)   ∫0∞ K(x,y)c(y,t)dy − 12c(x,  t) ∫0xF(x−y,y)dy, https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780367812027/499b2676-17a6-4805-9fd8-78c8baf0b813/content/eq314.tif"/> (2)c(x,0)  = c0(x)≥0. https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780367812027/499b2676-17a6-4805-9fd8-78c8baf0b813/content/eq315.tif"/>