一类脉冲微分方程边值问题的特征值

数学季刊 ›› 2006, Vol. 21 ›› Issue (3): 375-380.

一类脉冲微分方程边值问题的特征值

ZHANG Jian-ping, CAI Guo-lan

Department of Basic Course, Kaifeng University, Kaifeng 475001, China; Department of Mathematics, Central University of Nationalities, Beijing 100081, China

收稿日期:2005-09-19 出版日期:2006-09-30 发布日期:2023-11-28
作者简介:ZHANG Jian-ping(1962-),male,native of Kaifeng,Henan,a lectuer of Kaifeng University, engages in differential equation.
基金资助:
Supported by the NNSF of China(10371006) Supported by the Youth Teacher Science Research Foundation of Central University of Nationalities(CUN08A)；

Eigenvalue of a Class of Impulsive Differential Equation with BVPs

Department of Basic Course, Kaifeng University, Kaifeng 475001, China; Department of Mathematics, Central University of Nationalities, Beijing 100081, China

Received:2005-09-19 Online:2006-09-30 Published:2023-11-28
About author:ZHANG Jian-ping(1962-),male,native of Kaifeng,Henan,a lectuer of Kaifeng University, engages in differential equation.
Supported by:
Supported by the NNSF of China(10371006) Supported by the Youth Teacher Science Research Foundation of Central University of Nationalities(CUN08A)；

摘要/Abstract

摘要： Consider the following equations: Where 0 <η< 1,0 <α< 1, and f : [0,1]×[0,∞)→[0,∞), Ii,Li : [0,∞)→R, (i = 1,2,…, k) are continuous functions. We prove the existence of eigenvalues for the problem under a weaker condition, moreover we do not require the monotonicity of the impulsive functions.

关键词: eigenvalue, impulsive differential equation, boundary value problem

Abstract: Consider the following equations: Where 0 <η< 1,0 <α< 1, and f : [0,1]×[0,∞)→[0,∞), Ii,Li : [0,∞)→R, (i = 1,2,…, k) are continuous functions. We prove the existence of eigenvalues for the problem under a weaker condition, moreover we do not require the monotonicity of the impulsive functions.

Key words: eigenvalue, impulsive differential equation, boundary value problem

中图分类号:

O175.8

张建平, 蔡果兰. 一类脉冲微分方程边值问题的特征值[J]. 数学季刊, 2006, 21(3): 375-380.

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