Thanks for all your suggestions! I'm a bit confused which one to use, so thought I'd describe symptoms better now. My cat's been diagnosed with ocular herpes, so it's not just a regular corneal ulcer. He was put on Interferon eye drops and oral antibiotics which seemed to help shrink the ulcer, but now, it's gotten worse. It's grown larger again, and there are lots of blood vessels now growing on the eye. Discharge wise, it started with just a bit of thick mucous in his eye, stringy as prev described, and now it's wetter and more profuse. His lids are swollen. Still eating well. Seems to sleep a lot.
Have my kitty on Lysine, vit c and zinc.

Thanks much!