# On derivo-periodic multifunctions

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2001)

- Volume: 21, Issue: 1, page 81-95
- ISSN: 1509-9407

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topLibor Jüttner. "On derivo-periodic multifunctions." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 21.1 (2001): 81-95. <http://eudml.org/doc/271498>.

@article{LiborJüttner2001,

abstract = {The problem of linearity of a multivalued derivative and consequently the problem of necessary and sufficient conditions for derivo-periodic multifunctions are investigated. The notion of a derivative of multivalued functions is understood in various ways. Advantages and disadvantages of these approaches are discussed.},

author = {Libor Jüttner},

journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},

keywords = {differential of multivalued functions; multivalued differential; contingent derivative; linearity of contingent derivative; periodic multivalued functions; derivo-periodic multivalued functions; derivo-periodic multifunctions; periodic derivative},

language = {eng},

number = {1},

pages = {81-95},

title = {On derivo-periodic multifunctions},

url = {http://eudml.org/doc/271498},

volume = {21},

year = {2001},

}

TY - JOUR

AU - Libor Jüttner

TI - On derivo-periodic multifunctions

JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization

PY - 2001

VL - 21

IS - 1

SP - 81

EP - 95

AB - The problem of linearity of a multivalued derivative and consequently the problem of necessary and sufficient conditions for derivo-periodic multifunctions are investigated. The notion of a derivative of multivalued functions is understood in various ways. Advantages and disadvantages of these approaches are discussed.

LA - eng

KW - differential of multivalued functions; multivalued differential; contingent derivative; linearity of contingent derivative; periodic multivalued functions; derivo-periodic multivalued functions; derivo-periodic multifunctions; periodic derivative

UR - http://eudml.org/doc/271498

ER -

## References

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- [11] J. Mawhin, From Tricomi's equation for synchronous motors to the periodically forced pendulum, In Tricomi's Ideas and Contemporary Applied Mathematics, Atti Conv. Lincei 147, Accad. Naz. Lincei (Roma), (1998), 251-269. Zbl0980.34036
- [12] P. Meystre, Free-electron Lasers, An Introduction, 'Laser Physics (D.F. Walls and J.D. Harvey, ed.)', Academic Press, Sydney-New York-London-Toronto-San Francisco 1980.

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