THE CAUCHY PROBLEM IN SCALE OF BANACH SPACES WITH DEVIATING VARIABLES

被引：0

作者：

Nguyen Bich Huy ^{[1
]}

Pham Van Hien ^{[2
]}

机构：

[1] Ho Chi Minh City Univ Educ, Ho Chi Minh City, Vietnam

[2] HCMC Univ Technol & Educ, Fac Appl Sci, Ho Chi Minh City, Vietnam

来源：

FIXED POINT THEORY | 2021年 / 22卷 / 01期

关键词：

Scale of Banach spaces; Cauchy problem; deviating variable; Gevrey function; fixed point; ANALYTIC SOLUTIONS; GEVREY CLASS; EQUATIONS; LIMIT; EXISTENCE; EULER; FLOWS; PDES;

D O I：

10.24193/fpt-ro.2021.1.15

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first prove the existence and uniqueness results for the Cauchy problems in a scale of Banach spaces with deviating variables of the form u '(t) = F[t,A(t, u(t)), B(u(h(t)))]. We then apply it to study a Cauchy problem for PDEs in a Gevrey class with deviation at the derivatives. This extends some known results.

引用

页码：219 / 230

页数：12

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