A note on nonexistence of global solutions to a nonlinear integral equation

Bulletin of the Belgian Mathematical Society - Simon Stevin

Volumn 6, Issue 4, 1999, Pages 491-497

  Guedda, M ^a   Kirane, M ^a  

^a UNIVERSITÉ DE PICARDIE JULES VERNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001443542     PISSN: 13701444     EISSN: None     Source Type: Journal    
DOI: 10.36045/bbms/1103055577     Document Type: Article

References (7)

1. J.M. BALL, Remarks on blow-up and nonexistence theorems for nonlinear evolution equations, Quart. J. Math. Oxford, (2), 28, (1977), pp. 473-486.
2. 1+α, J. Fac. Sc. Univ. Tokyo, 13, n° 1, Sect. IA, (1966), pp. 109-124.
3. K. HAYAKA, On nonexistence of global solutions of some semilinear parabolic equations, Proc, Japan Acad., 49, (1973), pp. 503-505.
4. P. MEIER, On the critical exponent for reaction-diffusion equations, Arch. Rat. Mech. Anal. 109, n° 1, (1990), pp.63-71.
5. S. SUGITANI, On nonexistence of global solutions for some nonlinear integral equations, Osaka J. Math., 12, (1975), pp. 45-51.
6. F.B. WEISSLER, Existence and nonexistence of global solution for a semilinear heat equation, Israel J. Math., 38, (1981), pp. 29-40.
7. H. YOSIDA, Functional Analysis, Springer, 1966.