Abstract
In this paper, we study the global bifurcation of infinity of a class of nonlinear eigenvalue problems for fourth-order ordinary differential equations with nondifferentiable nonlinearity. We prove the existence of two families of unbounded continuance of solutions bifurcating at infinity and corresponding to the usual nodal properties near bifurcation intervals.
Keywords
Mathematics
Infinity
Eigenvalues and eigenvectors
Bifurcation
Nonlinear system
Mathematical analysis
Ordinary differential equation
Bifurcation theory
Order (exchange)
Applied mathematics
Saddle-node bifurcation
Differential equation
Subject Areas
Nonlinear Differential Equations Analysis
·Applied Mathematics ·Physical Sciences
Stability and Controllability of Differential Equations
·Control and Systems Engineering ·Physical Sciences
Numerical methods for differential equations
·Numerical Analysis ·Physical Sciences
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Reduced inequalities 40%
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