Some results on boundary value problems for fuzzy differential equations with functional dependence

Juan J. Nieto; Rosana Rodriguez-Lopez

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Some results on boundary value problems for fuzzy differential equations with functional dependence

机译：关于函数相关的模糊微分方程的边值问题的一些结果

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摘要

We calculate the exact solution for a class of boundary value problems for first-order linear fuzzy differential equations with impulses under Hukuhara differentiability, by finding Green's function. Some conclusions can be derived for impulsive fuzzy differential equations including a term with functional dependence, for which existence and uniqueness results are proved.

机译：通过寻找格林函数，我们在Hukuhara可微性的条件下为一阶线性模糊微分方程带脉冲的一类边值问题计算了精确解。对于包含函数依赖项的脉冲模糊微分方程，可以得出一些结论，证明了存在性和唯一性。

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来源
《Fuzzy sets and systems》 |2013年第1期|92-118|共27页
作者
Juan J. Nieto; Rosana Rodriguez-Lopez;
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作者单位

Departamento de Analisis Matematico, Facultad de Matemdticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, Spain;

Departamento de Analisis Matematico, Facultad de Matemdticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, Spain;

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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
关键词
First-order fuzzy differential equations; Linear fuzzy differential equations; Boundary value problems; Existence of solution; Uniqueness of solution; Green's function;

机译：一阶模糊微分方程;线性模糊微分方程;边值问题;解决方案的存在;解决方案的唯一性;格林函数;

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5. A two-point boundary value problem for higher order functional differential equations. [D] . Tameru, Ana Maria. 2002

机译：高阶泛函微分方程的两点边值问题。
6. Linear Parabolic Differential Equations of Arbitrary Order; General Boundary-Value Problems for Elliptic Equations [O] . Felix E. Browder 1953

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7. Fredholm Equations and Volterra Equations Arising from Fuzzy Boundary Value Problems (Mathematical models and dynamics of functional equations) [O] . Saito Seiji 2004

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8. Boundary Value Problems for Differential and Functional Differential Equations [R] . Wiener, J. 1987

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Some results on boundary value problems for fuzzy differential equations with functional dependence

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