Abstract
A pair of coupled nonlinear Volterra equations are examined for solutions that can have either global or blow-up behavior. The results represent an extension of the work in [8], where the analysis was restricted to cases in which the integral equations had identical kernels. Sufficient conditions are provided for global solutions as well as for blowup solutions. In the case of blow-up solutions, bounds on the blow-up time are derived. To demonstrate the applicability of the results, two examples are analyzed.
Original language | English (US) |
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Pages (from-to) | 377-393 |
Number of pages | 17 |
Journal | Journal of Integral Equations and Applications |
Volume | 25 |
Issue number | 3 |
DOIs | |
State | Published - 2013 |
ASJC Scopus subject areas
- Numerical Analysis
- Applied Mathematics