A class of second-order two-point boundary value problem on a measure chain was considered. Under some suitable conditions, by using the Leggett-Williams fixed point theorem in an appropriate cone, the existence of at...A class of second-order two-point boundary value problem on a measure chain was considered. Under some suitable conditions, by using the Leggett-Williams fixed point theorem in an appropriate cone, the existence of at least three positive solutions to this nonlinear problem was obtained.展开更多
In this paper, we discuss the existence of sign-changing solution, positive solution and negative solution to two-point boundary value problem of dynamic equations on measure chains using the cone theory and the fixed...In this paper, we discuss the existence of sign-changing solution, positive solution and negative solution to two-point boundary value problem of dynamic equations on measure chains using the cone theory and the fixed-point index method. The results are different from the previous results.展开更多
文摘A class of second-order two-point boundary value problem on a measure chain was considered. Under some suitable conditions, by using the Leggett-Williams fixed point theorem in an appropriate cone, the existence of at least three positive solutions to this nonlinear problem was obtained.
基金Supported by the National Natural Science Foundation of China (10971179)Natural Science Foundation of Shandong Province (ZR2010AM035)Research Award Fund for Outstanding Young Scientists of Shandong Province (BS2012SF022, BS2010SF023)
文摘In this paper, we discuss the existence of sign-changing solution, positive solution and negative solution to two-point boundary value problem of dynamic equations on measure chains using the cone theory and the fixed-point index method. The results are different from the previous results.
