Document Zbl 0996.34039

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Cecchi, M.; Došlá, Z.; Marini, M.

On nonoscillatory solutions of differential equations with \(p\)-Laplacian. (English) Zbl 0996.34039

Adv. Math. Sci. Appl. 11, No. 1, 419-436 (2001).

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.

Reviewer: Jozef Dzurina (Kosice)

Cited in 1 Review

Cited in 16 Documents

MSC:

34D05	Asymptotic properties of solutions to ordinary differential equations
34C10	Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations

Keywords:

nonoscillatory solutions; singular solutions; \(p\)-Laplacian

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