The blow-up solutions of integral equations

• Autorzy: Wojciech Mydlarczyk
• Języki publikacji: EN

Słowa kluczowe

EN

blowing-up solutions; nonlinear integral Volterra equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1999
• Tom: 79
• Numer: 1
• Strony: 147-156

Daty

wydano

1999

otrzymano

1998-06-15

poprawiono

1998-07-15

Twórcy

autor

Wojciech Mydlarczyk

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

Bibliografia

• [1] 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.
• [2] J. A. Dilellio and W. E. Olmstead, Shear band formation due to thermal flux inhomogeneity, SIAM J. Appl. Math. 57 (1997), 959-971.
• [3] G. Gripenberg, S. O. Londen and O. Staffans, Volterra Integral and Functional Equations, Cambridge Univ. Press, 1990.
• [4] W. Mydlarczyk, The existence of nontrivial solutions of Volterra equations, Math. Scand. 68 (1991), 83-88.
• [5] W. Mydlarczyk, A condition for finite blow-up time for a Volterra equation, J. Math. Anal. Appl. 181 \yr1994 248-253.
• [6] W. E. Olmstead, C. A. Roberts and K. Deng, Coupled Volterra equations with blow-up solutions, J. Integral Equations Appl. 7 (1995), 499-516.
• [7] C. A. Roberts, D. G. Lasseigne and W. E. Olmstead, Volterra equations which model explosion in a diffusive medium, ibid. 5 (1993), 531-546.