ON COUPLED SYSTEMS OF LIDSTONE-TYPE BOUNDARY VALUE PROBLEMS-Reference-Cited by-同舟云学术

ON COUPLED SYSTEMS OF LIDSTONE-TYPE BOUNDARY VALUE PROBLEMS

Published:2021-07-13 Issue:3 Volume:26 Page:358-371
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

de Sousa Robert¹^ORCID,Minhós Feliz²^ORCID,Fialho João³^ORCID

Affiliation:

1. 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; 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

2. Departamento de Matemática, Escola de Ciências e Tecnologia; 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

3. 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; Department of Mathematics, British University of Vietnam, Ecopark Campus, 160000 Hung Yen, Hanoi, Vietnam

Abstract

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.

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

Reference23 articles.

1. Eigenvalues of complementary Lidstone boundary value problems

2. Lidstone polynomials and boundary value problems

3. A discrete fourth-order Lidstone problem with parameters

4. Identification of Flexural Rigidity in Bridges with Limited Structural Information

5. Lower and Upper Solutions for Even Order Boundary Value Problems

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