The approximate solution of nonlinear operational equations

被引：0

作者：

Takaci, D ^{[1
]}

Takaci, A ^{[1
]}

机构：

[1] Univ Novi Sad, Fac Sci, Dept Math & Informat, YU-21000 Novi Sad, Serbia Monteneg, Serbia

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2004年 / 65卷 / 1-2期

关键词：

Mikusinsk operators; differential equations;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The approximate solution of a class of differential equations, in the field of Mikusinski operators is constructed by using the method of successive approximations. It is shown that a sequence of approximate solutions converges uniformly in the field of Mikusinski operators to the exact solution of the considered equation. The obtained results are applied to a class of partial integro-differential equations.

引用

页码：65 / 79

页数：15

共 7 条

[1] Dajun Guo, 1996, NONLINEAR INTEGRAL E
[2] Heatherly HE, 2000, ACTA MATH HUNG, V89, P179
[3] MIKUSINSKI J, 1987, OPERATIONAL CALCULUS, V2
[4] MIKUSINSKI J, 1983, OPERATIONAL CALCULUS, V1
[5] An algorithm for the approximate solution of operator difference equations
Takaci, D
Takaci, A
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1996, 17 (9-10) : 991 - 1003
[6] Takaci D, 1997, PUBL MATH DEBRECEN, V50, P287
[7] Construction of the solutions of difference equations in the field of Mikusinski operators
Takaci, D
Takaci, A
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1997, 27 (04) : 1245 - 1264

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