# The blow-up solutions of integral equations

Colloquium Mathematicae (1999)

- Volume: 79, Issue: 1, page 147-156
- ISSN: 0010-1354

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top## How to cite

topMydlarczyk, Wojciech. "The blow-up solutions of integral equations." Colloquium Mathematicae 79.1 (1999): 147-156. <http://eudml.org/doc/210622>.

@article{Mydlarczyk1999,

author = {Mydlarczyk, Wojciech},

journal = {Colloquium Mathematicae},

keywords = {blowing-up solutions; nonlinear integral Volterra equations; nonlinear Volterra integral equations; nonnegative solution; asymptotic behavior},

language = {eng},

number = {1},

pages = {147-156},

title = {The blow-up solutions of integral equations},

url = {http://eudml.org/doc/210622},

volume = {79},

year = {1999},

}

TY - JOUR

AU - Mydlarczyk, Wojciech

TI - The blow-up solutions of integral equations

JO - Colloquium Mathematicae

PY - 1999

VL - 79

IS - 1

SP - 147

EP - 156

LA - eng

KW - blowing-up solutions; nonlinear integral Volterra equations; nonlinear Volterra integral equations; nonnegative solution; asymptotic behavior

UR - http://eudml.org/doc/210622

ER -

## References

top- [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. Zbl0689.45013
- [2] J. A. Dilellio and W. E. Olmstead, Shear band formation due to thermal flux inhomogeneity, SIAM J. Appl. Math. 57 (1997), 959-971. Zbl0886.41026
- [3] G. Gripenberg, S. O. Londen and O. Staffans, Volterra Integral and Functional Equations, Cambridge Univ. Press, 1990. Zbl0695.45002
- [4] W. Mydlarczyk, The existence of nontrivial solutions of Volterra equations, Math. Scand. 68 (1991), 83-88. Zbl0701.45002
- [5] W. Mydlarczyk, A condition for finite blow-up time for a Volterra equation, J. Math. Anal. Appl. 181 1994 248-253. Zbl0808.45008
- [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. Zbl0847.45006
- [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. Zbl0804.45002

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