A recent multiplicity theorem for the critical points of a functional defined on a finite– dimensional Hilbert space, established by Ricceri, is extended. An application to Dirichlet boundary value… (More)

By establishing a comparison result and using the monotone iterative technique combined with the method of upper and lower solutions, we investigate the existence of solutions for systems of… (More)

The theory of dynamic equations appears in the literature in 1988 in the Ph. D. of S. Hilger [18]. The aim of this theory consists in to study differential and difference equations under the same… (More)

It is known that the antimaximum principle holds for the quasilinear periodic problem (|u′|p−2u′)′ + μ(t) (|u|p−2u) = h(t), u(0) = u(T ), u′(0) = u′(T ), if μ ≥ 0 in [0, T ] and 0 < ‖μ‖∞ ≤ (πp/T ) ,… (More)

This paper is devoted to the study of existence of solutions of the nonlinear secondorder differential equation u00ðtÞ þ pðtÞu0ðtÞ þ f ðt; uðtÞÞ 1⁄4 0 together with different types of linear boundary… (More)

We prove existence and uniqueness results in the presence of coupled lower and upper solutions for the general nth problem in time scales with linear dependence on the ith ∆derivatives for i= 1,2, .… (More)