EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS

Chunmei Miao, Weigao Ge, Zhaojun Zhang
2014 The Pure and Applied Mathematics  
In this paper, we study the existence of positive solutions for singular impulsive differential equations with integral boundary conditions where the nonlinearity f (t, u, v) may be singular at v = 0. The proof is based on the theory of Leray-Schauder degree, together with a truncation technique. Some recent results in the literature are generalized and improved.
doi:10.7468/jksmeb.2014.21.3.147 fatcat:cyot6p3v6vezllnillrspas22y