Abstract and Applied Analysis 
Volume 7 (2002), Issue 10, Pages 517-530
doi:10.1155/S1085337502206041

On three-point boundary value problem with a weighted integral condition for a class of singular parabolic equations

Abdelfatah Bouziani1,2

 1Département de Mathématiques, Centre Universitaire Larbi Ben M'hidi, Oum El Bouagui 04000, Algeria
2Mathematical Division, The Abdus Salam International Centre for Theoretical Physics (ICTP), Strada Costiera 11, Trieste 34100, Italy
Received 10 May 2002

Abstract

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.