Multiple Nonnegative Solutions for a Class IVPs for Second Order

被引：0

作者：

Georgiev, Svetlin Georgiev ^{[1
]}

Majdoub, Mohamed ^{[2
]}

Mebarki, Karima ^{[3
]}

机构：

[1] Sofia Univ, Fac Math & Informat, Dept Differential Equat, Sofia, Bulgaria

[2] Imam Abdulrahman Bin Faisal Univ, Coll Sci, Dept Math, POB 1982, Dammam, Saudi Arabia

[3] A Mira Univ, Fac Exact Sci, Lab Appl Math, Bejaia 6000, Algeria

来源：

FILOMAT | 2021年 / 35卷 / 14期

关键词：

ODE; existence; nonnegative solution; fixed point; cone; sum of operators; PERIODIC-SOLUTIONS; P-LAPLACIAN; EXISTENCE;

D O I：

10.2298/FIL2114701G

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a class of initial value problems for second order ODEs. The interesting points of our results are that the nonlinearity depends on the solution and its derivative and may change sign. Moreover, it satisfies general polynomial growth conditions. A new topological approach is applied to prove the existence of at least two nonnegative classical solutions. The arguments are based upon a recent theoretical result.

引用

页码：4701 / 4713

页数：13

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