Department of Mathematics
Blow-up Behavior of Hammers Tein-Type Volterra
In this paper, we consider the blow-up behavior of Hammerstein-type Volterra integral equations. Based on several fundamental assumptions, some necessary and sufficient conditions under which the solution blows up in finite time are given. Some examples illustrate that there may always exist a global solution for a power-law function and that the blow-up behavior only depends upon the value of the kernel in a neighborhood of zero. As an application, we give some results on the blow-up behavior of Volterra integro-differential equations of Hammerstein-type. © 2012 Rocky Mountain Mathematics Consortium.
Blow-up, Critical exponent, Volterra integral equations, Volterra integro-differential equations
Source Publication Title
Journal of Integral Equations and Applications
Rocky Mountain Mathematics Conso
Link to Publisher's Edition
Brunner, H., and Z. W. Yang. "Blow-up Behavior of Hammers Tein-Type Volterra." Journal of Integral Equations and Applications 24.4 (2012): 487-512.