The blow-up solutions of integral equations

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Mathematical Institute University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

blowing-up solutions, nonlinear integral Volterra equations

P. J. Bushell and W. Okrasiński, Uniqueness for a class of non-linear Volterra integral equations with convolution kernel, Math. Proc. Cambridge Philos. Soc. 106 (1989), 547-552.
J. A. Dilellio and W. E. Olmstead, Shear band formation due to thermal flux inhomogeneity, SIAM J. Appl. Math. 57 (1997), 959-971.
G. Gripenberg, S. O. Londen and O. Staffans, Volterra Integral and Functional Equations, Cambridge Univ. Press, 1990.
W. Mydlarczyk, The existence of nontrivial solutions of Volterra equations, Math. Scand. 68 (1991), 83-88.
W. Mydlarczyk, A condition for finite blow-up time for a Volterra equation, J. Math. Anal. Appl. 181 \yr1994 248-253.
W. E. Olmstead, C. A. Roberts and K. Deng, Coupled Volterra equations with blow-up solutions, J. Integral Equations Appl. 7 (1995), 499-516.
C. A. Roberts, D. G. Lasseigne and W. E. Olmstead, Volterra equations which model explosion in a diffusive medium, ibid. 5 (1993), 531-546.