Systems of coupled clamped beams equations with full nonlinear terms: existence and location results

DOI10.1016/j.nonrwa.2016.10.006zbMath1357.34051OpenAlexW2546999948MaRDI QIDQ505209

Infeliz Coxe, Feliz Manuel Minhós

Publication date: 19 January 2017

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2016.10.006

zbMATH Keywords

Green functionscoupled systemscoupled lower and upper solutionsNagumo-type conditioncoupled clamped beams

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20)

Related Items (5)

Existence of solutions of nonlinear systems subject to arbitrary linear non-local boundary conditions ⋮ Existence of solution for functional coupled systems with full nonlinear terms and applications to a coupled mass-spring model ⋮ Impulsive coupled systems with generalized jump conditions ⋮ Positive solutions for a system of fourth-order differential equations with integral boundary conditions and two parameters ⋮ Sharper existence and uniqueness results for solutions to fourth-order boundary value problems and elastic beam analysis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlocal beam theory for nonlinear vibrations of a nanobeam resting on elastic foundation
• Nonzero radial solutions for a class of elliptic systems with nonlocal BCs on annular domains
• Existence of positive solutions for the cantilever beam equations with fully nonlinear terms
• Positive solutions for systems of a nonlinear fourth-order singular semipositone boundary value problems
• High-order nonlinear boundary value problems admitting multiple exact solutions with application to the fluid flow over a sheet
• Positive solutions of fourth-order multi-point boundary value problems with bending term
• Existence and uniqueness of solutions for a fourth-order boundary value problem
• A note on a class of problems for a higher-order fully nonlinear equation under one-sided Nagumo-type condition
• Lower and upper solutions for a fully nonlinear beam equation
• Extremal solutions to fourth-order functional boundary value problems including multipoint conditions
• The bending problem of axially constrained beams on nonlinear elastic foundations
• Positive solutions for singular boundary value problems of a coupled system of differential equations
• Fourth-order problems with nonlinear boundary conditions
• Nonlinear perturbations of a coupled system of steady-state suspension bridge equations
• Non-negative solutions of systems of ODEs with coupled boundary conditions
• The upper and lower solution method for some fourth-order boundary value problems
• Existence results for some fourth-order multi-point boundary value problem
• Multiplicity of solutions of a two point boundary value problem for a fourth-order equation
• Fully nonlinear fourth-order equations with functional boundary conditions
• Deflection of nonuniform beams resting on a nonlinear elastic foundation
• Upper and Lower Solutions Method for Fourth-Order Periodic Boundary Value Problems
• A nonlinear suspension bridge equation with nonconstant load
• Extremal solutions to fourth order discontinuous functional boundary value problems
• Upper and lower solution method for fourth-order four-point boundary value problems

This page was built for publication: Systems of coupled clamped beams equations with full nonlinear terms: existence and location results