On integrated Volterra integrodifferential equation of higher order
2008
artykuł naukowy
angielski
- integrodifferential equation
- higher order
- Leray-Schauder alternative
- integral inequality
- initial-value problem
- global existence
- completely continuous operators
- fixed point
- r-derivatives
EN In this paper we study the existence and other properties of solutions of a certain iterated Volterra integrodifferential equation of higher order. The tools employed in the analysis are based on application of the Leray-Schauder alternative and a certain integral inequality which provides explicit bound on the unknown function.
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