New Approach to Differential Equations with Countable Impulses

• Published in: Acta Mathematicae Applicatae Sinica Vol. 27; no. 2; pp. 255 - 262
• Main Authors: Zhang, Hong-Kun, Lian, Jin-Guo, Sun, Jiong
• Format: Journal Article
• Language: English
• Published: Heildeberg Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.04.2011
• Subjects: Applications of Mathematics; Jacobi; Math Applications in Computer Science; Mathematical and Computational Physics; Mathematics; Mathematics and Statistics; Riemann流形; Theoretical; 广义微分算子; 极大算子; 算子理论; 线性方程组; 脉冲微分方程; 37D; countable impulses; hyperbolic; hyperbolicity; differential operators; differential operator; 34L; Jacobi fields

This paper provides a new approach to study the solutions of a class of generalized Jazobi equations associated with the linearization of certain singular flows on Riemannian manifolds with dimension n ＋ 1. A new class of generalized differential operators is defined. We investigate the kernel of th...