Amster Pablo, Benevieri Pierluigi, Haddad Julián
Departamento de Matemática, FCEyN - Universidad de Buenos Aires and IMAS-CONICET, Argentina.
Instituto de Matemática e Estatística, Universidade de São Paulo, USP, Brazil.
Philos Trans A Math Phys Eng Sci. 2021 Feb 22;379(2191):20190373. doi: 10.1098/rsta.2019.0373. Epub 2021 Jan 4.
We extend to delay equations recent results obtained by G. Feltrin and F. Zanolin for second-order ordinary equations with a superlinear term. We prove the existence of positive periodic solutions for nonlinear delay equations -″() = ()((), ( - )). We assume superlinear growth for and sign alternance for . The approach is topological and based on Mawhin's coincidence degree. This article is part of the theme issue 'Topological degree and fixed point theories in differential and difference equations'.
我们将G. 费尔特林和F. 扎诺林关于带有超线性项的二阶常微分方程的近期结果推广到延迟方程。我们证明了非线性延迟方程 -″() = ()((), ( - )) 正周期解的存在性。我们假设 具有超线性增长且 具有符号交替性。该方法是拓扑学的，基于马文重合度。本文是“微分方程和差分方程中的拓扑度与不动点理论”主题问题的一部分。
