The blow-up solutions of integral equations

Wojciech Mydlarczyk

Colloquium Mathematicae (1999)

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

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Mydlarczyk, 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

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  1. [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. [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. [3] G. Gripenberg, S. O. Londen and O. Staffans, Volterra Integral and Functional Equations, Cambridge Univ. Press, 1990. Zbl0695.45002
  4. [4] W. Mydlarczyk, The existence of nontrivial solutions of Volterra equations, Math. Scand. 68 (1991), 83-88. Zbl0701.45002
  5. [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. [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. [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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