On coupled systems of Lidstone-type boundary value problems

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...

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Published inMathematical modelling and analysis Vol. 26; no. 3; pp. 358 - 371
Main Authors de Sousa, Robert, Minhós, Feliz, Fialho, João
Format Journal Article
LanguageEnglish
Published Vilnius Vilnius Gediminas Technical University 13.07.2021
Subjects
Analysis
Boundary conditions
Boundary value problems
Bridges, Suspension
coupled nonlinear systems, coupled lower and upper solutions
Differential equations
lidstone-type boundary value problems
operator theory
Suspension bridges
coupled nonlinear systems, coupled lower and upper solutions
Lidstone-type boundary value problems
suspension bridges
operator theory
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ISSN1392-6292
1648-3510
1648-3510
DOI10.3846/mma.2021.12977

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Summary: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.
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:1392-6292
1648-3510
1648-3510
DOI:10.3846/mma.2021.12977