Solutions of minimal period for even classical Hamiltonian systems

Guihua Fei; Soon Kyu Kim; Tixiang Wang

doi:10.1016/S0362-546X(99)00199-6

Solutions of minimal period for even classical Hamiltonian systems

Guihua Fei
, Soon Kyu Kim
, Tixiang Wang

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

The following classical Hamiltonian systems: dx²/dt² +V′(x) = 0, for all x∈R^N, where N is a positive integer, V:R^N→R is a function and V′ denotes its gradient were studied. The usual inner product and norm in R^N were denoted by a·b and |a|, respectively.

Original language	English (US)
Pages (from-to)	363-375
Number of pages	13
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	43
Issue number	3
DOIs	https://doi.org/10.1016/S0362-546X(99)00199-6
State	Published - Jan 2001

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title = "Solutions of minimal period for even classical Hamiltonian systems",

abstract = "The following classical Hamiltonian systems: dx2/dt2 +V′(x) = 0, for all x∈RN, where N is a positive integer, V:RN→R is a function and V′ denotes its gradient were studied. The usual inner product and norm in RN were denoted by a·b and |a|, respectively.",

author = "Guihua Fei and Kim, \{Soon Kyu\} and Tixiang Wang",

year = "2001",

month = jan,

doi = "10.1016/S0362-546X(99)00199-6",

language = "English (US)",

volume = "43",

pages = "363--375",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

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publisher = "Elsevier Ltd",

number = "3",

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T1 - Solutions of minimal period for even classical Hamiltonian systems

AU - Fei, Guihua

AU - Kim, Soon Kyu

AU - Wang, Tixiang

PY - 2001/1

Y1 - 2001/1

N2 - The following classical Hamiltonian systems: dx2/dt2 +V′(x) = 0, for all x∈RN, where N is a positive integer, V:RN→R is a function and V′ denotes its gradient were studied. The usual inner product and norm in RN were denoted by a·b and |a|, respectively.

AB - The following classical Hamiltonian systems: dx2/dt2 +V′(x) = 0, for all x∈RN, where N is a positive integer, V:RN→R is a function and V′ denotes its gradient were studied. The usual inner product and norm in RN were denoted by a·b and |a|, respectively.

UR - https://www.scopus.com/pages/publications/0035151527

UR - https://www.scopus.com/pages/publications/0035151527#tab=citedBy

U2 - 10.1016/S0362-546X(99)00199-6

DO - 10.1016/S0362-546X(99)00199-6

M3 - Article

AN - SCOPUS:0035151527

SN - 0362-546X

VL - 43

SP - 363

EP - 375

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 3

ER -

Solutions of minimal period for even classical Hamiltonian systems

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