Differentiability of multivalued functions on time scales and applications to multivalued dynamic equations (Q1029400)
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scientific article; zbMATH DE number 5577432
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Differentiability of multivalued functions on time scales and applications to multivalued dynamic equations |
scientific article; zbMATH DE number 5577432 |
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Differentiability of multivalued functions on time scales and applications to multivalued dynamic equations (English)
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10 July 2009
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A new theory of multivalued dynamic equations is developed by extending of known set valued differential equations onto time scale. A new derivative of set valued functions on time scale is introduced and applied to the study of the set valued dynamic systems. It is called Hukuhara-Hilger derivative. The properties of this derivative is explored which provides the necessary background for further consideration. An example of multivalued dynamic equation is proposed and discussed.
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multivalued function
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Hukuhara-Hilger derivative
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time scales
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multivalued dynamic equations
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