标题:
测度链上动力方程两点边值问题多解的存在性Existence of Multiple Solutions for Second Order Second-Point Boundary Value Problems of Dynamics Equation on Time Scale
作者:
赵梦田, 李红玉
关键字:
测度链, 变号解, 特征值Time Scale, Sign-Changing Solution, Eigenvalue
期刊名称:
《Pure Mathematics》, Vol.6 No.4, 2016-07-28
摘要:
利用格结构下的不动点定理，研究了一类测度链上动力方程的两点边值问题 (1)
其中， ，T是[0，1] 上的闭集， 。 连续，且 。文中结合相应算子的特征值，在非线性项满足次线性条件下，得到此边值问题具有正解，负解和变号解。
In this paper, by using the fixed point theorems with lattice structure, we discuss the existence of multiple solutions for the following second-point boundary value problems of dynamics equation on a general time scale. (1)
where , Let T be a closed subset of the interval[0,1] , with , and the function is continuous, with . Combining the eigenvalues of the relevant linear operator, the existence of positive, negative and sign-changing solutions is obtained under the condition that the nonlinear term is sublinear.