The Countably Many Positive Solutions of Nonlinear Singular Boundary Value Problems with Sign Changing Nonlinearities

摘要

In this paper, we study the existence of positive solutions for a class nonlinear singular boundary value systems {(Φp1(u'.))'+a1(t)f(u.v)=0,01(i =1.2) We obtain the existence of infinitely many positive solutions by using fixed-point index theory. Especially, the nonlinear terms f; g are allowed to change sign. The conclusions in this paper essentially extend and improve the known results.