MMN-1840
Some remarks on the bilocal problem
Abstract
Using a method proposed by T.A. Burton in [T. Burton, Fixed points, differential equations, and proper mappings, Seminar on Fixed Point Theory Cluj-Napoca 3 (2002), 19-32] and Banach's Contraction Principle, we study the existence, uniqueness and approximation of the solution for a bilocal problem. We compare our results with the classical similarly results given for the Fredholm integral operator associated. The present paper extends and complements the results from [S. Mureşan, O. Nica, Comparing Two Integral Operators In The Approach Of Cauchy Problems, An. Univ. Oradea Fasc. Mat., Tom XIX (2012), 197-205].
Vol. 17 (2016), No. 1, pp. 57-67
DOI: 10.18514/MMN.2016.1840