
handle: 10533/130766 , 10533/130765
For an odd increasing function \(\psi\), a Lyapunov-type inequality for the \(\psi\)-Laplacian operator is proven. The proof is non-classical, since the Jensen, Cauchy-Schwarz or either Hölder inequalities are not used.
convex function, bounds on the eigenvalues, Lyapunov-type inequality, sub-multiplicative function, Nonlinear boundary value problems for ordinary differential equations, Linear boundary value problems for ordinary differential equations, \(\psi\)-Laplacian, Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators
convex function, bounds on the eigenvalues, Lyapunov-type inequality, sub-multiplicative function, Nonlinear boundary value problems for ordinary differential equations, Linear boundary value problems for ordinary differential equations, \(\psi\)-Laplacian, Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators
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