@Article{JPDE-5-46,
author = {Yin Hongming},
title = {The Solvability for a Class of Nonlinear Integrodifferential Equations of Parabolic Type},
journal = {Journal of Partial Differential Equations},
year = {1992},
volume = {5},
number = {3},
pages = {46--60},
abstract = { In this paper we consider the well-posedness for a class of nonlinear integrodifferential equations of parabolic type. We use integral estimates to deduce an a priori estimate in the classical space C^{2+&#945,1+\frac{&#945}{2}}. The existence of the solution is established by means of the continuity method which is similar to a parabolic initial and boundary value problem. Moreover, the continuous dependence upon the data and the uniqueness of the solution are obtained. Finally, the results are generalized into a class of nonlinear integrodifferential systems.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5744.html}
}