How to distribute an application using shared library on Linux - linker

Question

My app uses library: boost, ffmpeg (avcodec, avformat,...). I want to pack my app to run on Ubuntu 14 or higher. I don't want to use static build.
I have checked on some computers which install Ubuntu. Here is results:
Ubuntu 14.04:
ls -l libavcodec*
libavcodec.a
libavcodec.so -> libavcodec.so.54.35.1
libavcodec.so.54.35.1
ls -l libboost_thread*
libboost_thread.a
libboost_thread.so -> libboost_thread.so.1.54.0
libboost_thread.so.1.54.0
Ubuntu 16.04:
ls -l libavcodec*
libavcodec.a -> libavcodec-ffmpeg.a
libavcodec-ffmpeg.a
libavcodec-ffmpeg.so -> libavcodec-ffmpeg.so.56.60.100
libavcodec-ffmpeg.so.56 -> libavcodec-ffmpeg.so.56.60.100
libavcodec-ffmpeg.so.56.60.100
libavcodec.so -> libavcodec-ffmpeg.so
ls -l libboost_thread*
libboost_thread.a
libboost_thread.so -> libboost_thread.so.1.58.0
libboost_thread.so.1.58.0
My app
objdump -p ControlStation | grep NEEDED
NEEDED libavcodec-ffmpeg.so.56
NEEDED libavformat-ffmpeg.so.56
NEEDED libavutil-ffmpeg.so.54
NEEDED libswscale-ffmpeg.so.3
NEEDED libboost_system.so.1.58.0
NEEDED libboost_thread.so.1.58.0
....
I compile on Ubuntu 16, so my app uses file libavcodec-ffmpeg.so.56 and libboost_thread.so.1.58.0. Therefore, it couldn't run on other computers.
Normally, a shared library should be
libName.so ---> libName.so.MAJOR
libName.so.MAJOR --> real library file
But ffmpeg has many versions, boost library doesn't have symbolic file libboost_thread.so.1
Could anyone help me about this problem ? Thank you !