Regularity of solution sets for differential inclusions quasi-concave in a parameter |
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Institution: | Department of Mathematics The University of Queensland Brisbane, Queensland 4072, Australia |
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Abstract: | The concept of quasi-concavity is extended to multifunctions. It is then shown that if the velocity of a differential inclusion is regularly quasi-concave in a parameter, the solution set and attainability set are also dependent upon the parameter in like manner. The result is applied to give a vastly improved notion of fuzzy differential equations. |
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