In this paper, we prove the existence of a positive solution and a negative solution for a class of second order difference equations with dependence on the first order difference. Our proofs are based on the Mountain...In this paper, we prove the existence of a positive solution and a negative solution for a class of second order difference equations with dependence on the first order difference. Our proofs are based on the Mountain Pass Lemma and iterative methods.展开更多
基金Foundation item: the National Natural Science Foundation of China (No. 60574075) Innovation Program of Shanghai Municipal Education Commissiion (No. 08YZ93) and Shanghai Leading Academic Discipline Project (No. S30501).
文摘In this paper, we prove the existence of a positive solution and a negative solution for a class of second order difference equations with dependence on the first order difference. Our proofs are based on the Mountain Pass Lemma and iterative methods.