Growth rates for blow-up solutions of nonlinear Volterra equations

Quarterly of Applied Mathematics

Volumn 54, Issue 1, 1996, Pages 153-159

  Roberts, Catherine A ^a   Olmstead, W E ^b  

^a NORTHERN ARIZONA UNIVERSITY   (United States)

^b NORTHWESTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001074918     PISSN: 0033569X     EISSN: None     Source Type: Journal    
DOI: 10.1090/qam/1373844     Document Type: Article

References (8)

1. N. Bleistein and R. A. Handelsman, Asymptotic Expansion of Integrals, Holt, Rinehardt, and Winston, New York, 1975
2. D. Glenn Lasseigne and W. E. Olmstead, Ignition of a combustible solid by convection heating, J. Appl. Math. Phys. (ZAMP) 34, 886-898 (1983)
3. D. Glenn Lasseigne and W. E. Olmstead, Ignition or nonignition of a combustible solid with marginal heating, Quart. Appl. Math. 43, 303-312 (1981)
4. W. E. Olmstead and R. A. Handelsman, Asymptotic solution to a class of nonlinear Volterra integral equations, SIAM J. Appl. Math. 22, 373-384 (1972)
5. W. E. Olmstead and R. A. Handelsman, Asymptotic solution to a class of nonlinear Volterra integral equations. II, SIAM J. Appl. Math. 30, 180-189 (1976)
6. W. E. Olmstead, S. Nemat-Nasser, and L. Ni, Shear bands as surfaces of discontinuity, J. Mech. Phys. Solids 42, 697-709 (1994)
7. W. E. Olmstead, Ignition of a combustible half-space, SIAM J. Appl. Math. 43, 1-15 (1983)
8. Catherine A. Roberts, D. Glenn Lasseigne, and W. E. Olmstead, Volierra equations which model explosion in a diffusive medium, J. Integral Equations Appl. 5, 531-546 (1993)