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Publications Influence

Continuation theorems for periodic perturbations of autonomous systems

- A. Capietto, J. Mawhin, F. Zanolin
- Mathematics
- 1992

It is first shown in this paper that, whenever it exists, the coincidence degree of the left-hand member of an autonomous differential equation x' - g(x) = 0, in the space of periodic functions with… Expand

118 8- PDF

Periodic Solutions of Liénard Equations with Asymmetric Nonlinearities at Resonance

- A. Capietto, Z. Wang
- Mathematics
- 1 August 2003

The existence of $2\pi$ -periodic solutions of the second-order differential equation \[ x''+f(x)x'+ax^+-bx^-+g(x)=p(t), \qquad n\in \mathbb{N},\] where $a, b$ satisfy $1/\sqrt{a}+1/\sqrt{b}=2/n$ and… Expand

29 5

A Continuation Approach To Superlinear Periodic Boundary-value-problems

- A. Capietto, J. Mawhin, F. Zanolin
- Mathematics
- 1 December 1990

This paper deals with the problem of the existence of T-periodic solutions for the first order differential system x’ = I;( t, x), (1.1) where F: [0, T] x R” + R” is a Caratheodory function. In what… Expand

82 3- PDF

On the boundedness of solutions to a nonlinear singular oscillator

- A. Capietto, W. Dambrosio, B. Liu
- Mathematics
- 4 March 2009

Abstract.We study a second order scalar equation of the form x′′ + V′(x) = p(t), where p is a π-perodic function and V is a singular potential. We give sufficient conditions on V, p ensuring that all… Expand

26 3

Quasi-periodic solutions of a forced asymmetric oscillator at resonance

- A. Capietto, B. Liu
- Mathematics
- 2004

Abstract It is proved the existence of Aubry-Mather sets and infinitely many subharmonic solutions to an equation of the form u″+au+−bu−+φ(u)=p(t), where u+=max{u,0}, u−=max{−u,0}, φ: R → R is… Expand

12 2

A continuation approach to some forced superlinear Sturm-Liouville boundary value problems

- A. Capietto, M. Henrard, J. Mawhin, F. Zanolin
- Mathematics
- 1 March 1994

31 1

Saturated Invariant Sets and the Boundary Behavior of Differential Systems

- A. Capietto, B. Garay
- Mathematics
- 1 June 1993

10 1

Periodic solutions of Liénard equations at resonance

- A. Capietto, Z. Wang
- Mathematics
- 2003

12 1

Infinitely many radial solutions to a boundary value problem in a ball

- A. Capietto, W. Dambrosio, F. Zanolin
- Mathematics
- 1 December 2001

In this paper we are concerned with the existence and multiplicity of radial solutions to the BVP whereB is an open ball in ℝK and u↦∇·(a(|∇u|)∇u) is a nonlinear differential operator (e.g. the… Expand

25 1

On the existence of two solutions with a prescribed number of zeros for a superlinear two-point boundary value problem

- A. Capietto, J. Mawhin, F. Zanolin
- Mathematics
- 1 September 1995

where the function f has superlinear growth at infinity and p grows at most linearly in u and u′. Our method is based on a continuation theorem for a coincidence equation of the form Lu = N(u, λ),… Expand

23 1- PDF