Viability theory and fuzzy differential equations

Ravi P. Agarwal; Donal ORegan; V. Lakshmikantham

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Viability theory and fuzzy differential equations

机译：生存力理论和模糊微分方程

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New results are presented which guarantee the existence of viable solutions to differential inclusions. We show that a viable solution exists if (ⅰ) a tangency condition is satisfied, and (ⅱ) there exists a maximal solution to an appropriate differential equation. In addition, we discuss the topological structure of the solution set. These results will then be used with the stacking theorem to establish new existence criteria for fuzzy differential equations if there exists a maximal solution for an appropriate set of differential equations.

机译：提出了新的结果，这些结果保证了对微分夹杂物可行的解决方案。我们证明如果满足（ⅰ）一个相切条件，并且（ⅱ）存在一个适合的微分方程的最大解，则存在一个可行的解。此外，我们讨论了解决方案集的拓扑结构。如果存在适用于一组微分方程组的最大解，则这些结果将与堆积定理一起使用，以建立新的模糊微分方程存在准则。

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来源
《Fuzzy sets and systems》 |2005年第3期|p.563-580|共18页
作者
Ravi P. Agarwal; Donal ORegan; V. Lakshmikantham;
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作者单位

Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901-6975, USA;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类模糊数学;
关键词
viable solution; differential inclusion; stacking theorem; maximal solution; set;

机译：可行解;微分包含;堆积定理;最大解;集合;

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Viability theory and fuzzy differential equations

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