Spectra of fourth-order quasilinear problems
Copyright policy )Spectra of fourth-order quasilinear problems
Some properties of the eigenvalues of the fourth-order quasilinear system \[ (| u''(t)| ^{p-2} u''(t))''=\lambda | u(t)| ^{p-2} u(t),\qquad t\in[0,1], \] subject to Dirichlet, Navier and Neumann boundary conditions are recalled. Furthermore, an algorithm developed by the author in earlier works to compute these eigenvalues efficiently is recalled and some figures which show the dependence of the eigenvalues on \(p\) are included.
- University of West Bohemia Czech Republic
Sturm-Liouville theory, Nonlinear boundary value problems for ordinary differential equations, Nonlinear spectral theory, nonlinear eigenvalue problems, p-biharmonic operator, Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators, nonlinear spectral theory
Sturm-Liouville theory, Nonlinear boundary value problems for ordinary differential equations, Nonlinear spectral theory, nonlinear eigenvalue problems, p-biharmonic operator, Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators, nonlinear spectral theory
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