\(S\)-shaped connected component for the fourth-order boundary value problem

DOI10.1186/s13661-016-0699-zzbMath1365.34040OpenAlexW2546065916WikidataQ59468631 ScholiaQ59468631MaRDI QIDQ343418

Jinxiang Wang, Ru Yun Ma

Publication date: 28 November 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0699-z

zbMATH Keywords

positive solutionsbifurcationboundary value problemprincipal eigenvalue

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (4)

Reversed \(S\)-shaped connected component for a fourth-order boundary value problem ⋮ Positive solutions for nonlocal extended Fisher-Kolmogorov and Swift-Hohenberg equations ⋮ \(S\)-shaped connected component for nonlinear fourth-order problem of elastic beam equation ⋮ \(S\)-shaped connected component of positive solutions for second-order discrete Neumann boundary value problems

Cites Work

• Three positive solutions for one-dimensional image-Laplacian problem with sign-changing weight
• Existence of positive solutions for first order discrete periodic boundary value problems with delay
• On fourth order boundary value problems arising in beam analysis
• Nonlinear models of suspension bridges: discussion of the results.
• Multiple solutions of some fourth-order boundary value problems
• Positivity and lower and upper solutions for fourth order boundary value problems
• Multiple solutions of some nonlinear fourth-order beam equations
• Operator inequalities
• Positive solutions of fourth-order boundary value problems with two parameters
• Positive solutions of fourth-order two point boundary value problems.
• On positive solutions of some nonlinear fourth-order beam equations
• Global bifurcation and nodal solutions for fourth-order problems with sign-changing weight
• Existence, multiplicity and infinite solvability of positive solutions to a nonlinear fourth-order periodic boundary value problem
• Existence of positive solutions of a fourth-order boundary value problem
• Existence and uniqueness theorems for the bending of an elastic beam equation
• Fourth-Order Two-Point Boundary Value Problems
• A Uniqueness Theorem for a Boundary Value Problem
• Positivity properties of elliptic boundary value problems of higher order
• On the existence of positive solutions of fourth-order ordinary differential equations
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
• Existence for a Fourth-Order Boundary Value Problem under a Two-Parameter Nonresonance Condition
• Classical solutions for some higher order semilinear elliptic equations under weak growth conditions

This page was built for publication: \(S\)-shaped connected component for the fourth-order boundary value problem