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- 2018
一类模糊数值映射二次型方程和Drygas型方程的Ulam稳定性
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Abstract:
方程的Ulam稳定性理论侧重于研究方程近似解附近存在精确解的条件.将Ulam稳定性的研究推广到了Banach空间中模糊数值映射方程.通过考虑无界的函数差，利用定义在模糊数空间中的度量，证明了更一般化的模糊数值映射二次型方程和Drygas型方程的Ulam稳定性，并得到其解的一些基本性质.所得的结论推广了已有文献中的相关结论.
The theory of the Ulam stability of equations focuses on conditions under which there exists an exact solution near approximate solutions for a given equation. The present paper investigates the Ulam stability of fuzzy number-valued functional equations in Banach spaces. By considering the unbounded differences between functions and by using the metric defined on a fuzzy number space, the Ulam stability of more general fuzzy number-valued quadratic type and Drygas type functional equations are proved. Moreover, some fundamental properties of the solutions are obtained. The obtained conclusions extend the relevant results in some existing papers
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