模糊Laplace變換的卷積定理及其應(yīng)用
發(fā)布時(shí)間:2019-02-22 19:08
【摘要】:定義了模糊Henstock積分意義下的實(shí)值函數(shù)與模糊數(shù)值函數(shù)的卷積,并對(duì)其基本性質(zhì)進(jìn)行研究,得到了基于模糊Henstock積分的Laplace變換的卷積定理.最后,借助該卷積定理對(duì)兩類卷積型的模糊Volterra積分方程的求解進(jìn)行討論并給出算例.
[Abstract]:In this paper, the convolution of real value function and fuzzy numerical function in the sense of fuzzy Henstock integral is defined, and its basic properties are studied. The convolution theorem of Laplace transform based on fuzzy Henstock integral is obtained. Finally, with the help of the convolution theorem, the solution of two kinds of fuzzy Volterra integral equations of convolution type is discussed and an example is given.
【作者單位】: 西北師范大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院;
【基金】:國(guó)家自然科學(xué)基金資助項(xiàng)目(11461062,61262022)
【分類號(hào)】:O159
[Abstract]:In this paper, the convolution of real value function and fuzzy numerical function in the sense of fuzzy Henstock integral is defined, and its basic properties are studied. The convolution theorem of Laplace transform based on fuzzy Henstock integral is obtained. Finally, with the help of the convolution theorem, the solution of two kinds of fuzzy Volterra integral equations of convolution type is discussed and an example is given.
【作者單位】: 西北師范大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院;
【基金】:國(guó)家自然科學(xué)基金資助項(xiàng)目(11461062,61262022)
【分類號(hào)】:O159
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1 余海洋;陳國(guó)東;鄧曉宇;;用Laplace變換求一類無(wú)窮限積分[J];成都理工大學(xué)學(xué)報(bào)(自然科學(xué)版);2006年02期
2 王耀富;;變換與變換在數(shù)學(xué)中的妙用[J];興義民族師范學(xué)院學(xué)報(bào);2012年06期
3 金啟勝;;利用Laplace變換求解一維波動(dòng)方程的定解問(wèn)題[J];新余學(xué)院學(xué)報(bào);2012年02期
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