SOLVABILITY FOR RIEMANN-STIELTJES INTEGRAL BOUNDARY VALUE PROBLEMS OF BAGLEY-TORVIK EQUATIONS AT RESONANCE

被引：2

作者：

Yao, Nan ^{[1
]}

Liu, Xiping ^{[1
]}

Jia, Mei ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2020年 / 10卷 / 05期

关键词：

Bagley-Torvik equation; Caputo derivative; Riemann-Stieltjes integral; boundary value problem; resonant condition; Mawhin's coincidence degree theory; FRACTIONAL DIFFERENTIAL-EQUATIONS;

D O I：

10.11948/20190289

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the solvability for Riemann-Stieltjes integral boundary value problems of Bagley-Torvik equations with fractional derivative under resonant conditions. Firstly, the kernel function is presented through the Laplace transform and the properties of the kernel function are obtained. And then, some new results on the solvability for the boundary value problem are established by using Mawhin's coincidence degree theory. Finally, two examples are presented to illustrate the applicability of our main results.

引用

页码：1937 / 1953

页数：17

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