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Volumn 16, Issue 2, 2009, Pages 147-154

On the asymptotic behavior of solutions to some nonlinear integral equations of convolution type

(1)  Lipovan, Olivia a  

a NONE   (Romania)

Author keywords

45M05; Ams (mos) subject classification: 45g10; Asymptotic convergence; Nonlinear integral equation

Indexed keywords


EID: 70449725537     PISSN: 12013390     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)

References (13)
  • 1
    • 0030622795 scopus 로고    scopus 로고
    • Monotone iterative technique for a nonlinear integral equation
    • A. Constantin, Monotone iterative technique for a nonlinear integral equation, J. Math. Anal. Appl. 205, (1997) 280-283.
    • (1997) J. Math. Anal. Appl. , vol.205 , pp. 280-283
    • Constantin, A.1
  • 2
    • 0000572783 scopus 로고
    • On the integral equation of renewal theory
    • W. Feller, On the integral equation of renewal theory, Ann. Math. Statist. 12, (1941) 243-267.
    • (1941) Ann. Math. Statist. , vol.12 , pp. 243-267
    • Feller, W.1
  • 4
    • 0345757039 scopus 로고    scopus 로고
    • The inverse problem of linear agestructured population dynamics
    • M. Gyllenberg, A. Osipov and L. Päivärinta, The inverse problem of linear agestructured population dynamics, J. Evol. Eq. 2, (2002) 223-239.
    • (2002) J. Evol. Eq. , vol.2 , pp. 223-239
    • Gyllenberg, M.1    Osipov, A.2    Päivärinta, L.3
  • 5
    • 0242288416 scopus 로고    scopus 로고
    • Upper and lower bounds for solutions of nonlinear Volterra convolution integral equations with power nonlinearity
    • N. Karapetyants, A. Kilbas, M. Saigo, and S. Samko, Upper and lower bounds for solutions of nonlinear Volterra convolution integral equations with power nonlinearity, J. Integral Eq. Appl. 12, (2000) 421-448.
    • (2000) J. Integral Eq. Appl. , vol.12 , pp. 421-448
    • Karapetyants, N.1    Kilbas, A.2    Saigo, M.3    Samko, S.4
  • 6
    • 34547434389 scopus 로고    scopus 로고
    • On a nonlinear integral equation
    • O. Lipovan, On a nonlinear integral equation, Bui. St. Univ. Pol. Timis. 44, (1999) 40-45.
    • (1999) Bui. St. Univ. Pol. Timis. , vol.44 , pp. 40-45
    • Lipovan, O.1
  • 7
    • 0034369969 scopus 로고    scopus 로고
    • A retarded Gronwall-like inequality and its applications
    • O. Lipovan, A retarded Gronwall-like inequality and its applications, J. Math. Anal. Appl. 252 (2000) 389-401.
    • (2000) J. Math. Anal. Appl. , vol.252 , pp. 389-401
    • Lipovan, O.1
  • 8
    • 0141615021 scopus 로고    scopus 로고
    • A retarded integral inequality and its applications
    • DOI 10.1016/S0022-247X(03)00409-8
    • [8] O. Lipovan, A retarded integral inequality and its applications, J. Math. Anal. Appl. 285, (2003) 436-443. (Pubitemid 37194986)
    • (2003) Journal of Mathematical Analysis and Applications , vol.285 , Issue.2 , pp. 436-443
    • Lipovan, O.1
  • 9
    • 33646749098 scopus 로고    scopus 로고
    • Integral inequalities for retarded Volterra equations
    • O. Lipovan, Integral inequalities for retarded Volterra equations, J. Math. Anal. Appl. 322, (2006) 349-358.
    • (2006) J. Math. Anal. Appl. , vol.322 , pp. 349-358
    • Lipovan, O.1
  • 10
    • 0038166140 scopus 로고    scopus 로고
    • Nonlinear Volterra integral equations with convolution kernels
    • W. Mydlarczyk and W. Okrasinski, Nonlinear Volterra integral equations with convolution kernels, Bull. London Math. Soc. 35, (2003) 484-490.
    • (2003) Bull. London Math. Soc. , vol.35 , pp. 484-490
    • Mydlarczyk, W.1    Okrasinski, W.2
  • 11
    • 0011690212 scopus 로고
    • On a nonlinear convolution equation occuring in the theory of water percolation
    • W. Okrasinski, On a nonlinear convolution equation occuring in the theory of water percolation, Ann. Polon. Math. 37, (1980) 223-229.
    • (1980) Ann. Polon. Math. , vol.37 , pp. 223-229
    • Okrasinski, W.1
  • 12
    • 0011351790 scopus 로고
    • Nontrivial solutions to nonlinear Volterra integral equations
    • W. Okrasinski, 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
    • Okrasinski, W.1
  • 13
    • 0001074918 scopus 로고    scopus 로고
    • Growth rates for blow-up solutions of nonlinear Volterra equations
    • C. Roberts and W. 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.1    Olmstead, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.