Consider the RDDE's initial value problemwhere a, b and τ are arbitrary real constants, and τ＞ 0, φ(θ) is a given initial function.In this paper, we find series expansions of the accurate solution of the ini...Consider the RDDE's initial value problemwhere a, b and τ are arbitrary real constants, and τ＞ 0, φ(θ) is a given initial function.In this paper, we find series expansions of the accurate solution of the initial valueproblem (EI).展开更多
In this paper, a new set of sufficient conditions related to an initial value problem and global homeomorphism is obtained in discussing the existence and uniqueness of 2π-periodic solution for 2kth order differentia...In this paper, a new set of sufficient conditions related to an initial value problem and global homeomorphism is obtained in discussing the existence and uniqueness of 2π-periodic solution for 2kth order differential equations with resonance. The key role is played by nonnegative auxiliary scalar coercive function. The result of this paper generalizes some existed theorems.展开更多
文摘Consider the RDDE's initial value problemwhere a, b and τ are arbitrary real constants, and τ＞ 0, φ(θ) is a given initial function.In this paper, we find series expansions of the accurate solution of the initial valueproblem (EI).
基金Foundation item： Supported by the Natural Science Foundation of Changzhou Instituty of Technology（YN09090） Supported by the Natural Science Foundation of Jiangsu Province（13KJD110001）
文摘In this paper, a new set of sufficient conditions related to an initial value problem and global homeomorphism is obtained in discussing the existence and uniqueness of 2π-periodic solution for 2kth order differential equations with resonance. The key role is played by nonnegative auxiliary scalar coercive function. The result of this paper generalizes some existed theorems.
