应用数学2016，Vol.29Issue(3)：494-502,9.
具混合边界的双曲型微分方程非平凡解的存在性
Existence of Non-trivial Solution for Hyperbolic Differential Equation with Mixed Boundaries
摘要
Abstract
One kind of hyperbolic differential equation with mixed boundaries is discussed by splitted into two linear operators and three nonlinear operators.After proving the results that these operators have monotonicity properties,we obtain the result that one kind of operator equations has solutions and then present the result for the existence of the unique non-trivial solution of hyperbolic type nonlinear differential equation with mixed boundaries.It is an extension of the corresponding studies on nonlinear elliptic equation and nonlinear parabolic equation with generalized p-Laplacian.Some new techniques are employed in the discussion.关键词
极大单调算子/强迫映射/伪单调算子/次微分/双曲微分方程/混合边界Key words
Maximal monotone operator/Coercive mapping/Pseudo-monotone operator/Subdifferential/Hyperbolic equation/Mixed boundaries分类
数理科学引用本文复制引用
魏利,刘元星..具混合边界的双曲型微分方程非平凡解的存在性[J].应用数学,2016,29(3):494-502,9.基金项目
Supported by the National Natural Science Foundation of China (11071053),the Natural Science Foundation of Hebei Province (A2014207010),the Key Project of Science and Research of Hebei Educational Department (ZH2012080) and the Key Project of Science and Research of Hebei University of Economics and Business (2015KYZ03) （11071053）
