You might find the chapter on dynamic optimization in Further Mathematics for Economic Analysis by Sydsaeter, et al helpful.
I'm not sure if it's the kind of intuition you're looking for, but they do try to develop some regarding their results.
They do get a little wordy for my taste sometimes, though.
Edit: You can look inside the book on Amazon, so that might help you figure out if this is what you're looking for.



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