We study an integro-differential operator Φ: H̅¹ → L² of Fredholm type and give sufficient conditions for Φ to be a diffeomorphism. An application to functional equations is presented.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc101-0-5, author = {Dariusz Idczak and A. Skowron and S. Walczak}, title = {On a class of diffeomorphisms defined by integro-differential operators}, journal = {Banach Center Publications}, volume = {102}, year = {2014}, pages = {77-86}, zbl = {1305.47033}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc101-0-5} }
Dariusz Idczak; A. Skowron; S. Walczak. On a class of diffeomorphisms defined by integro-differential operators. Banach Center Publications, Tome 102 (2014) pp. 77-86. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc101-0-5/