Characterizing the blow-up solutions for nonlinear Volterra integral equations

被引:9
作者
Roberts, CA [1 ]
机构
[1] No Arizona Univ, Dept Math, Flagstaff, AZ 86011 USA
关键词
nonlinear Volterra integral equations; blow-up solutions; asymptotic analysis; Parseval's formula for Mellin transforms;
D O I
10.1016/S0362-546X(97)00355-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
[No abstract available]
引用
收藏
页码:923 / 933
页数:11
相关论文
共 11 条
[1]  
[Anonymous], 1975, Asymptotic Expansions of Integrals
[2]   THE ROLE OF CRITICAL EXPONENTS IN BLOWUP THEOREMS [J].
LEVINE, HA .
SIAM REVIEW, 1990, 32 (02) :262-288
[3]  
Olmstead W.E., 1996, METHODS APPL ANAL, V3, P345
[4]  
Olmstead W. E., 1994, METHODS APPL ANAL, V1, P434
[5]   ASYMPTOTIC SOLUTION TO A CLASS OF NONLINEAR VOLTERRA INTEGRAL-EQUATIONS .2. [J].
OLMSTEAD, WE ;
HANDELSMAN, RA .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1976, 30 (01) :180-189
[6]  
OLMSTEAD WE, 1995, J INT EQNS APPL, V7, P449
[7]  
OLMSTEAD WE, 1976, SIAM J APPL MATH, V22, P373
[8]  
OLMSTEAD WE, IN PRESS APPL MATH L
[9]   Growth rates for blow-up solutions of nonlinear Volterra equations [J].
Roberts, CA ;
Olmstead, WE .
QUARTERLY OF APPLIED MATHEMATICS, 1996, 54 (01) :153-159
[10]  
ROBERTS CA, EXPLOSION HEAT EQUAT