An Extreme Problem for a Volterra Type Integral Inclusion

doi:10.4236/oalib.1105605

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Open Access Library Journal 6 2019

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An Extreme Problem for a Volterra Type Integral Inclusion

DOI: 10.4236/oalib.1105605, PP. 1-8

M. A. Sadygov

Subject Areas: Mathematical Analysis

Keywords: Integral Functional, Normal Integrant, Volterra Type Inclusion, The Multivalued Mapping

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Abstract

In the work, we have studied the dependencies of the solutions to integral in-clusions from perturbation and investigated an extremal problem for integral inclusions. We obtained necessary and sufficient minimum conditions for ex-tremal problems of Volterra type convex inclusions. We also studied a non-convex extremal problem for the Volterra type inclusion. We obtained a high order necessary condition in the extremal problem for the Volterra type inclu-sion.

Cite this paper

Sadygov, M. A. (2019). An Extreme Problem for a Volterra Type Integral Inclusion. Open Access Library Journal, 6, e5605. doi: http://dx.doi.org/10.4236/oalib.1105605.

References

[1]	Sadygov, M.A. (2013) An Extremal Problem for Integral Inclusion. Preprint No. 1, Baku, 129 p.
[2]	Rockafellar, R.T. and Wets, R.J.-B. (2009) Variational Analysis. Springer, Berlin, 734 p.
[3]	Ekeland, I. and Temam, R. (1979) Convex Analysis and Variational Problems. Mir, Moscow, 309 p.
[4]	Clarke, F. (2013) Functional Analysis, Calculus of Variations and Optimal Control. Springer-Verlag, London, 591 p. https://doi.org/10.1007/978-1-4471-4820-3_4
[5]	Sadygov, M.A. (2014) Subdifferential of High Orders and Optimization. LAP Lambert Academic Publishing, Saarbrucken, 359 p.

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