On nonoscillatory solutions of differential equations with p-Laplacian
On nonoscillatory solutions of differential equations with p-Laplacian
The paper is concerned with some boundary value problems associated to the nonlinear differential equation of the form \[ (a(t)\Phi_p(x'))'=b(t)f(x) \] with \(\Phi_p(u)=|u|^{p-2}u\), \(p>1\). All continuable solutions to the equations considered are classified into disjoint subsets which are fully characterized in terms of certain integral conditions.
- University of Florence Italy
singular solutions, nonoscillatory solutions, Asymptotic properties of solutions to ordinary differential equations, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, \(p\)-Laplacian
singular solutions, nonoscillatory solutions, Asymptotic properties of solutions to ordinary differential equations, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, \(p\)-Laplacian
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