I have had exactly the same problem, year after year. I have grown a few different varieties, always in containers. Plenty of room, only one plant per container, regular watering, tomato feed once a week, plenty of sunlight. They start off really healthily, produce lots of flowers. But the courgette production is accompanied by a subtle silver veining on the leaves. Pretty soon the leaves turn completely silver and brittle, courgette production stops and the plants end up in the bin. This year I will try again, having chosen a variety resistant to "powdery mildew" which is what I have guessed the problem to be. I'd love this to be confirmed though...