On coupled systems of Lidstone-type boundary value problems

Mathematical Modelling and Analysis

FelizMinhós¹  João Fialho²  Robert de Sousa³ 

[1] Centro de Investigação em Matemática e Aplicações (CIMA), Instituto de Investigação e Formação Avançada, Universidade de Évora, Rua Romão Ramalho, 59, 7000-671 Évora, Portugal;Departamento de Matemática, Escola de Ciências e Tecnologia;Faculdade de Ciências e Tecnologia, Núcleo de Matemática e Aplicações (NUMAT), Centro de Investigação em Ciências Exatas (CiCE), Universidade de Cabo Verde, Campus de Palmarejo, 279 Praia, Cabo Verde;

关键词: coupled nonlinear systems, coupled lower and upper solutions;    lidstone-type boundary value problems;    operator theory;    suspension bridges;   

DOI  :  10.3846/mma.2021.12977

来源: DOAJ

【 摘 要 】

This research concerns the existence and location of solutions for coupled system of differential equations with Lidstone-type boundary conditions. Methodology used utilizes three fundamental aspects: upper and lower solutions method, degree theory and nonlinearities with monotone conditions. In the last section an application to a coupled system composed by two fourth order equations, which models the bending of coupled suspension bridges or simply supported coupled beams, is presented.

【 授权许可】

Unknown