We deal with a three point boundary value problem for a class of singular parabolic equations with a weighted integral condition in place of one of standard boundary conditions. We will first establish an a priori estimate in weighted spaces. Then, we prove the existence, uniqueness, and continuous dependence of a strong solution.
"On three-point boundary value problem with a weighted integral condition for a class of singular parabolic equations." Abstr. Appl. Anal. 7 (10) 517 - 530, 26 September 2002. https://doi.org/10.1155/S1085337502206041