1. Functional-differential equations with Riemann-Liouville integrals in the nonlinearities
- Creator:
- Medveď, Milan
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- fractional differential equation, Riemann-Liouville integral, and blowing-up solution
- Language:
- English
- Description:
- A sufficient condition for the nonexistence of blowing-up solutions to evolution functional-differential equations in Banach spaces with the Riemann-Liouville integrals in their right-hand sides is proved. The linear part of such type of equations is an infinitesimal generator of a strongly continuous semigroup of linear bounded operators. The proof of the main result is based on a desingularization method applied by the author in his papers on integral inequalities with weakly singular kernels. The result is illustrated on an example of a scalar equation with one Riemann-Liouville integral.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public