메뉴 건너뛰기




Volumn 301, Issue 1, 2005, Pages 208-218

Blow-up solutions to a system of nonlinear Volterra equations

Author keywords

Asymptotic behavior; Blow up time; Explosion; System of integral equations; Volterra

Indexed keywords


EID: 10144252428     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.07.014     Document Type: Article
Times cited : (12)

References (18)
  • 2
    • 84963034971 scopus 로고
    • Nonlinear Volterra equations and the Apéry identities
    • P.J. Bushell W. Okrasiński Nonlinear Volterra equations and the Apéry identities Bull. London Math. Soc. 24 1992 478-484
    • (1992) Bull. London Math. Soc. , vol.24 , pp. 478-484
    • Bushell, P.J.1    Okrasiński, W.2
  • 3
    • 0029681222 scopus 로고    scopus 로고
    • On the maximal interval of existence for solutions to some nonlinear Volterra integral equations with convolution kernel
    • P.J. Bushell W. Okrasiński On the maximal interval of existence for solutions to some nonlinear Volterra integral equations with convolution kernel Bull. London Math. Soc. 28 1996 59-65
    • (1996) Bull. London Math. Soc. , vol.28 , pp. 59-65
    • Bushell, P.J.1    Okrasiński, W.2
  • 4
    • 0000483412 scopus 로고
    • Unique solutions of some Volterra integral equations
    • G. Gripenberg Unique solutions of some Volterra integral equations Math. Scand. 48 1981 59-67
    • (1981) Math. Scand. , vol.48 , pp. 59-67
    • Gripenberg, G.1
  • 6
    • 84966245159 scopus 로고
    • Behavior of maximally defined solutions of a nonlinear Volterra equation
    • T. Herdman Behavior of maximally defined solutions of a nonlinear Volterra equation Proc. Amer. Math. Soc. 67 1977 297-302
    • (1977) Proc. Amer. Math. Soc. , vol.67 , pp. 297-302
    • Herdman, T.1
  • 7
    • 0025442951 scopus 로고
    • The role of critical exponents in blowup theorems
    • H.A. Levine The role of critical exponents in blowup theorems SIAM Rev. 32 1990 262-288
    • (1990) SIAM Rev. , vol.32 , pp. 262-288
    • Levine, H.A.1
  • 9
    • 10144237616 scopus 로고
    • Remark on nonlinear Volterra equations
    • W. Mydlarczyk Remark on nonlinear Volterra equations Ann. Polon. Math. 53 1991 227-232
    • (1991) Ann. Polon. Math. , vol.53 , pp. 227-232
    • Mydlarczyk, W.1
  • 10
    • 0002334034 scopus 로고
    • The existence of nontrivial solutions of Volterra equations
    • W. Mydlarczyk The existence of nontrivial solutions of Volterra equations Math. Scand. 68 1991 83-88
    • (1991) Math. Scand. , vol.68 , pp. 83-88
    • Mydlarczyk, W.1
  • 11
    • 43949148008 scopus 로고
    • A condition for finite blow-up time for a Volterra equations
    • W. Mydlarczyk A condition for finite blow-up time for a Volterra equations J. Math. Anal. Appl. 181 1994 248-253
    • (1994) J. Math. Anal. Appl. , vol.181 , pp. 248-253
    • Mydlarczyk, W.1
  • 12
    • 10144251493 scopus 로고    scopus 로고
    • A nonlinear system of Volterra integral equations with convolution kernels
    • in press
    • W. Mydlarczyk W. Okrasiński A nonlinear system of Volterra integral equations with convolution kernels Dynam. Systems Appl. in press
    • Dynam. Systems Appl.
    • Mydlarczyk, W.1    Okrasiński, W.2
  • 13
    • 0011351790 scopus 로고
    • Nontrivial solutions to nonlinear Volterra integral equations
    • W. Okrasiński Nontrivial solutions to nonlinear Volterra integral equations SIAM J. Math. Anal. 11 1991 1007-1015
    • (1991) SIAM J. Math. Anal. , vol.11 , pp. 1007-1015
    • Okrasiński, W.1
  • 14
    • 0020704808 scopus 로고
    • Ignition of a combustible half space
    • W.E. Olmstead Ignition of a combustible half space SIAM J. Appl. Math. 43 1983 1-15
    • (1983) SIAM J. Appl. Math. , vol.43 , pp. 1-15
    • Olmstead, W.E.1
  • 16
    • 0001074918 scopus 로고    scopus 로고
    • Growth rates for blow-up solutions of nonlinear Volterra equations
    • C.A. Roberts W.E. Olmstead Growth rates for blow-up solutions of nonlinear Volterra equations Quart. Appl. Math. 54 1996 153-159
    • (1996) Quart. Appl. Math. , vol.54 , pp. 153-159
    • Roberts, C.A.1    Olmstead, W.E.2
  • 17
    • 0032155845 scopus 로고    scopus 로고
    • Analysis of explosion for nonlinear Volterra equations with blow-up solutions
    • C.A. Roberts Analysis of explosion for nonlinear Volterra equations with blow-up solutions J. Comp. Appl. Math. 97 1998 153-166
    • (1998) J. Comp. Appl. Math. , vol.97 , pp. 153-166
    • Roberts, C.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.