Periodic boundary value problems for systems of second order differential equations

Periodic boundary value problems for systems of second order differential equations
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DOI:
10.1016/0022-0396(73)90030-2
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发表时间:
1973
影响因子:
2.4
通讯作者:
J. Bebernes;K. Schmitt
J. Bebernes;K. Schmitt
中科院分区:
数学2区
文献类型:
--
作者:
J. Bebernes;K. Schmitt

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设I表示紧区间[0,I],R”k维欧氏空间,欧氏范数为11。I],并且令f:I X DCI X Rzn--+ R”是连续的。本文考虑二阶方程组d= f(t,x,x '),('= d/dt)周期解的存在性.(一、一)
Let I denote the compact interval [0, I], R” k-dimensional Euclidean space with Euclidean norm 11. I], and let f: I x DCI x Rzn--+ R” be continuous. In this paper, we consider the existence of periodic solutions for the system of second order equations d= f (t, x, x’),(’= d/dt).(1.1)