EXISTENCE, UNIQUENESS AND STABILITY OF SOLUTIONS OF A CLASS OF NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS

被引:22
作者
CAUGHEY, TK
ELLISON, J
机构
[1] CALTECH,PASADENA,CA 91109
[2] UNIV NEW MEXICO,ALBUQUERQUE,NM 87131
关键词
D O I
10.1016/0022-247X(75)90136-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:1 / 32
页数:32
相关论文
共 13 条
[1]   CLASSICAL NORMAL MODES IN DAMPED LINEAR DYNAMIC SYSTEMS [J].
CAUGHEY, TK ;
OKELLY, MEJ .
JOURNAL OF APPLIED MECHANICS, 1965, 32 (03) :583-&
[2]   STABILITY OF CONTINUOUS DYNAMIC SYSTEMS WITH PARAMETRIC EXCITATION [J].
DICKERSON, JR ;
CAUGHEY, TK .
JOURNAL OF APPLIED MECHANICS, 1969, 36 (02) :212-+
[3]  
ELLISON J, 1970, THESIS CALIFORNIA I
[4]   INITIAL VALUE PROBLEMS AND TIME-PERIODIC SOLUTIONS FOR A NONLINEAR WAVE EQUATION [J].
FICKEN, FA ;
FLEISHMAN, BA .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1957, 10 (03) :331-356
[5]  
GREENBERG JM, 1968, J MATH MECH, V17, P707
[6]   STABILITY OF A COLUMN SUBJECTED TO A TIME-DEPENDENT AXIAL LOAD [J].
INFANTE, EF ;
PLAUT, RH .
AIAA JOURNAL, 1969, 7 (04) :766-&
[7]  
Kalman RE, 1960, T ASME D, V82, P371
[8]  
KOREVAAR J, 1968, MATHEMATICAL METHODS
[9]  
PARKS PC, 1967, DIFFERENTIAL EQUATIO
[10]  
Rabinowitz, 1967, COMMUN PUR APPL MATH, V20, P145, DOI 10.1002/cpa.3160200105