Position: Home > Articles > EXISTENCE OF MILD SOLUTIONS FOR NONLOCAL PROBLEM OF VIBRATION EQUATIONS OF BEAM
Journal of Inner Mongolia Agricultural University(Natural Science Edition)
2019
(1)
88-91
梁振动方程非局部问题mild解的存在性
作 者：
史伟;赵思宇;马婷
单 位：
新疆农业大学数理学院
关键词：
发展方程;非局部问题;算子半群;mild解;存在性
摘 要：
本文考虑抽象空间中一类二阶发展方程非局部问题.在非线性项满足一定条件的情形下,运用算子半群理论及相关不动点定理得到了所研究问题mild解的存在性.
译 名：
EXISTENCE OF MILD SOLUTIONS FOR NONLOCAL PROBLEM OF VIBRATION EQUATIONS OF BEAM
作 者：
SHI Wei;ZHAO Siyu;MA Ting;College of Mathematics and Physics,Xinjiang Agricultural University;
单 位：
SHI Wei%ZHAO Siyu%MA Ting%College of Mathematics and Physics,Xinjiang Agricultural University
关键词：
Evolution equations;;nonlocal problem;;operator semigroup;;mild solution;;existence
摘 要：
In this paper,we study the nonlocal problem of a class of second-order evolution equations in abstract space. By using the theory of operator semigroup and related fixed point theorem,the existence of mild solutions is built under some appropriate conditions of the nonlinear term.
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