# American Institute of Mathematical Sciences

May  2019, 24(5): 2281-2292. doi: 10.3934/dcdsb.2019095

## Necessary optimality conditions for an integro-differential Bolza problem via Dubovitskii-Milyutin method

 1 Faculty of Mathematics and Computer Science, University of Lodz, 90-238 Lodz, Banacha 22, Poland 2 State School of Higher Vocational Education, 96-100 Skierniewice, Batorego 64c, Poland

* Corresponding author: Stanisław Walczak

A tribute to Helmut Maurer, Urszula Ledzewicz and Heinz Schättler.
The second author has a great satisfaction to be a supervisor of the doctoral dissertation of Professor Urszula Ledzewicz

Received  December 2017 Revised  January 2019 Published  March 2019

In the paper, we derive a maximum principle for a Bolza problem described by an integro-differential equation of Volterra type. We use the Dubovitskii-Milyutin approach.

Citation: Dariusz Idczak, Stanisław Walczak. Necessary optimality conditions for an integro-differential Bolza problem via Dubovitskii-Milyutin method. Discrete & Continuous Dynamical Systems - B, 2019, 24 (5) : 2281-2292. doi: 10.3934/dcdsb.2019095
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