Multiple Solutions for a Class of Nonlinear Fourth-Order Boundary Value Problems

被引：3

作者：

Lin, Longfei ^{[1
]}

Liu, Yansheng ^{[1
]}

Zhao, Daliang ^{[1
]}

机构：

[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China

来源：

SYMMETRY-BASEL | 2020年 / 12卷 / 12期

关键词：

multiple solutions; fixed point theory; boundary value problems; FRACTIONAL DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; SYSTEM; EIGENVALUE;

D O I：

10.3390/sym12121989

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper is concerned with multiple solutions for a class of nonlinear fourth-order boundary value problems with parameters. By constructing a special cone and applying fixed point index theory, the multiple solutions for the considered systems are obtained under some suitable assumptions. The main feature of obtained solutions (u(t),v(t)) is that the solution u(t) is positive, and the other solution v(t) may change sign. Finally, two examples with continuous function f(1) being positive and f(2) being semipositone are worked out to illustrate the main results.

引用

页码：1 / 13

页数：13

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