一类具变号权函数的二阶非局部脉冲微分方程
class of second-order nonlocal impulsive differential equations with indefinite weight function
本文研究了具变号权函数且带积分边界条件的二阶脉冲微分方程边值问题正解的存在性和多重性。利用范数形式的锥拉伸与锥压缩不动点定理，得到了具变号权函数且带积分边界条件的二阶脉冲微分方程边值问题至少存在一个正解和三个正解的充分条件。最后，通过一个例子验证了主要结论的正确性。
his paper is concerned with the existence and multiplicity of positive solutions for a second-order impulsive differential equations with indefinite weight function and integral boundary conditions. We obtain sufficient conditions for a second-order impulsive differential equations with indefinite weight function and integral boundary conditions admits at least one solution and three solutions, by using fixed-point theorem of cone expansion and compression of norm type. Finally, a example is included to illustrate the main results.
张学梅、焦立帅
数学
变号权函数积分边界条件多个正解的存在性不动点定理脉冲微分方程
indefinite weightsintegral boundary conditionsthe existence of multiple positive solutionsfixed point theoremimpulsive differential equations
张学梅,焦立帅.一类具变号权函数的二阶非局部脉冲微分方程[EB/OL].(2018-07-16)[2025-08-10].http://www.paper.edu.cn/releasepaper/content/201807-35.点此复制
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