binaries built with openssl 0.9.7b running on openssl 0.9.6b or 0.9.6g

Hi, Question If I build applications using a later version of openssl and run the compiled binaries on an operating system with earlier versions of openssl will there be any problems? Example: I build applications using openssl 0.9.7b on linux redhat version 7.2 with kernel 2.4.7 and gnu gcc 2.96

non-static apache (DSO) modules built with openssl 0.9.7d routines running on openssl 0.9.6b or 0.9.6g

Question, If I build a non-static apache module binary as a Dynamic Shared Object (DSO) with apache 1.3.29 using functions from a later version of openssl and load the compiled binary (DSO) on an operating system running apache 1.3.29 with earlier versions of openssl will there be any problems? Ex