知识与财富的链接
研究了一类二阶自伴差分系统——非平凡同宿轨道的存在性问题.在位势满足超线性条件下,利用山路引理和对称山路引理,得到了位势非周期且可变号的情形下系统同宿轨道的存在性结果.
The authors we study the existence of nontrivial homoclinic orbits of the second self-adjoint difference systemΔ2 u（t-1）-q（t）u（t）＋▽V（t,u（t））=0 t∈Z,u∈Rm.Under superquadratic conditions,by using the Mountain Pass Theorem and the Symmetric Mountain Pass Theorem,some existence theorems are established for the existence of homoclinic orbits for the above nonautonomous Hamiltonian systems with a change of sign in the potential.