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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

Upper and Lower Solutions for a Generalized Emden-Fowler Equation

- P. Habets, F. Zanolin
- Mathematics
- 1 February 1994

124 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

81 3- PDF

CONTINUATION THEOREMS FOR THE PERIODIC PROBLEM VIA THE TRANSLATION ÒPERATOR

- F. Zanolin
- Mathematics
- 1996

Some continuation theorems for the solvability of the periodic boundary value problem associ ated to the vector differential system x' = /(£,#), are examined by means of the investigation of the… Expand

42 3- PDF

A Nonlinear Boundary-value Problem With Potential Oscillating Around the First Eigenvalue

- P. Habets, R. Manásevich, F. Zanolin
- Mathematics
- 1 April 1995

17 3

A Seven-Positive-Solutions Theorem for a Superlinear Problem

- M. Gaudenzi, P. Habets, F. Zanolin
- Mathematics
- 2004

Abstract We consider the superlinear boundary value problem uʺ + aμ(t)uγ+1 = 0, u(0) = 0, u(1) = 0, where γ > 0 and aμ(t) is a sign indefinite weight of the form a+(t)−μa−(t). We prove, for μ… Expand

23 3

Chaotic Dynamics for Maps in One and Two Dimensions: a Geometrical Method and Applications to Economics

- A. Medio, M. Pireddu, F. Zanolin
- Computer Science
- Int. J. Bifurc. Chaos
- 1 October 2009

TLDR

40 2- PDF

Subharmonic solutions of the forced pendulum equation: a symplectic approach

- A. Boscaggin, R. Ortega, F. Zanolin
- Mathematics
- 28 May 2014

AbstractUsing the Poincaré–Birkhoff fixed point theorem, we prove that for every β > 0 and for a large (both in the sense of prevalence and of category) set of continuous and T-periodic functions… Expand

11 2- PDF

An elliptic problem with arbitrarily small positive solutions

- P. Omari, F. Zanolin
- Mathematics
- 2000

We show that, for each>0, the problem pu=f(u )i n; u=0 on@ has a sequence of positive solutions (un)n with maxun decreasing to zero. We assume that liminf s!0+ F(s) s p =0 and that limsup s!0+ F(s) s… Expand

24 2- PDF

Remarks on strongly flow-invariant sets

- M. Fernandes, F. Zanolin
- Mathematics
- 15 November 1987

Abstract Conditions ensuring the strong flow-invariance property for a compact set M, with respect to the differential system x′ = ƒ(t, x) , are considered. An answer to a question raised in ( Gard,… Expand

17 1