Well, let me preface this by saying wow - I'm very honored.
I don't have any objections that would lead me to deliver an outright 'no' to you if this is really what you want to write your paper about. However, it is my honest opinion that Watchmen, American Born Chinese, and Maus are much more deftly wrought examples of the bridging of comics and literature, and are far worthier of being the subjects of such an essay than Lackadaisy is....or me, for that matter, as the author. They are also probably more pragmatic options for you, as other essays and critical reviews have been written about them upon which you can base some of your research.
Answering your question about literary influences is going to be a somewhat tricky affair. There were no one or two definitive tomes in my collection that led me to decide I must concoct something of my own, emulating some other author or following after the tradition of some preceding book. The volition to draw and write Lackadaisy emerged from such a bevy of things - historical facts and memes, movies, cartoons, comics, music, and books - it's difficult to pin down primary influences and dissect out which pieces of literature had a conscious effect. I'll jot some things down, though, and you may feel free to use the information if it's helpful to you.
It's almost perfunctory to cite F. Scott Fitzgerald as an influence, if not a resource, for all works of fiction relating to the Roaring Twenties but written in some later decade. It's warranted, though. Lackadaisy has been no exception. Fitzgerald, in as much as he wrote fiction, chronicled the trends, attitudes, lifestyles and lexicon of an era (albeit within a somewhat limited sphere) and left his American progeny with a very distinct impression of its overriding character. The Great Gatsby and many of his shorter works, including some of the more biographical information and even some of his notes compiled in The Crack-up had a great deal to do with my perception of the time period, my own approach to characterizing it and developing personalities that would (hopefully) seem to be products of it.
Writers such as William Faulkner (mostly in reference to The Sound and The Fury) and Mervyn Peake (Gormenghast) have probably had much to do with my very character-centric approach to storytelling, for better or for worse. I tend to spend more time on the details of character interaction, sometimes at the expense of expedient plot progression, and I suspect this is why - I've enjoyed their work and its semi-voyeuristic fixation on the personalities therein and how their interplay creates a story. I found I prefer this to the inverse in which a story is more or less thrust upon a cast of characters.
Stodgy literati aside, Douglas Adams has long been one of my favorites. To me, his work exemplifies a near perfect combination of humor and substance woven together for maximum enjoyment. It's irreverent, but somehow manages it without wading too far into the shallow end of the pool, and it's satirical without being moralistic. In whatever capacity I can be called a writer, I strive for something similar.
Funny you should mention Maus. I read it back in about 2002 initially, and then read it again while Lackadaisy was still in the development phase to glean what I could from it. Although Spiegelman's graphic novel is of a far more serious-minded nature than mine, and though he uses animals to both lampoon and spotlight notions of nationality and ethnic difference (something I don't do at all), I think it helped validate for me that human characters with animal features can still carry dramatic weight.
I've referenced T. S. Eliot a couple of times for a similar reason - who has ever done a better job of telling stories about humanity with cats? The Waste Land has also colored my perception of post WWI culture to some extent. I referenced it in the middle or Rocky's rather more smug, optimistic (and stupid) poetry...for contrast, I suppose.
Bill Watterson's work taught me a great deal about combining visual and written components to tell a story. Though Calvin and Hobbes might not qualify as a literary influence exactly, perhaps it bears mentioning here.