浙江大学学报（理学版）2026，Vol.53Issue(1)：63-70,118,9.DOI:10.3785/1008-9497.24257
积分收缩条件下一类二阶中立型发展方程的T-可控性
T-controllability for a class of second order neutral evolution equations under integral contractor conditions
摘要
Abstract
The existence,uniqueness and T-controllability of mild solution for a class of second order neutral evolution equations are studied in Hilbert space.By using the cosine family theory,regular integral contractor conditions(weaker condition than Lipschitz continuous)and iterative technique,we get the existence and uniqueness of the mild solution of the studied problem,and the sufficient conditions for the T-controllability of the problem are obtained by combining the assumptions of monotonicity and coercivity of the operator.Finally,an example is delivered to illustrate the gained theoretical results.关键词
T-可控性/中立型发展方程/正则积分收缩/迭代技术Key words
T-controllability/neutral evolution equation/regular integral contractor/iterative technique分类
数理科学引用本文复制引用
WANG Tiantian,FAN Hongxia..积分收缩条件下一类二阶中立型发展方程的T-可控性[J].浙江大学学报（理学版）,2026,53(1):63-70,118,9.基金项目
国家自然科学基金项目(11561040). （11561040）
