Invariant representation for generators of general time interval quadratic BSDEs under stochastic growth conditions

This paper is devoted to proving a general invariant representation theorem for generators of general time interval backward stochastic differential equations, where the generator.. has a quadratic growth in the unknown variable z and satisfies some stochastic growth conditions in the unknown variable y. This unifies and strengthens some known results. A natural and innovative idea is used to prove the representation theorem.

Automated summary

This paper proves a general invariant representation theorem for generators of general time interval backward stochastic differential equations, where the generator has a quadratic growth in the unknown variable z and satisfies some stochastic growth conditions in the unknown variable y. This result unifies and strengthens some known results.