Global well-posedness analysis for the nonlinear extensible beam equations in a class of modified Woinowsky-Krieger models

C Yang, VD Rădulescu, R Xu… - Advanced Nonlinear …, 2022 - degruyter.com
For studying the evolution of the transverse deflection of an extensible beam derived from
the connection mechanics, we investigate the initial boundary value problem of nonlinear …

On the periodic boundary value problem and chaotic-like dynamics for nonlinear Hill's equations

D Papini, F Zanolin - Advanced Nonlinear Studies, 2004 - degruyter.com
We present some results which show the rich and complicated structure of the solutions of
the second order differential equation ẍ+ w (t) g (x)= 0 when the weight w (t) changes sign …

Fixed points, periodic points, and coin-tossing sequences for mappings defined on two-dimensional cells

D Papini, F Zanolin - Fixed Point Theory and Applications, 2004 - Springer
We propose, in the general setting of topological spaces, a definition of two-dimensional
oriented cell and consider maps which possess a property of stretching along the paths with …

[HTML][HTML] Multi-layer radial solutions for a supercritical Neumann problem

D Bonheure, M Grossi, B Noris, S Terracini - Journal of differential …, 2016 - Elsevier
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[HTML][HTML] Multiplicity of positive periodic solutions in the superlinear indefinite case via coincidence degree

G Feltrin, F Zanolin - Journal of Differential Equations, 2017 - Elsevier
We study the periodic boundary value problem associated with the second order nonlinear
differential equation u ″+ cu′+(a+(t)− μ a−(t)) g (u)= 0, where g (u) has superlinear growth …

Second-order ordinary differential equations with indefinite weight: the Neumann boundary value problem

A Boscaggin, F Zanolin - Annali di Matematica Pura ed Applicata (1923-), 2015 - Springer
We study the second-order nonlinear differential equation u''+ a (t) g (u)= 0 u′′+ a (t) g
(u)= 0, where gg is a continuously differentiable function of constant sign defined on an open …

Pairs of positive periodic solutions of second order nonlinear equations with indefinite weight

A Boscaggin, F Zanolin - Journal of Differential Equations, 2012 - Elsevier
We study the problem of the existence and multiplicity of positive periodic solutions to the
scalar ODE where g (x) is a positive function on R+, superlinear at zero and sublinear at …

[PDF][PDF] Multiple periodic solutions and complex dynamics for second order ODEs via linked twist maps

A Pascoletti, M Pireddu, F Zanolin - Proc. 8th Coll. QTDE, 2008 - emis.muni.cz
We consider some nonlinear second order scalar ODEs of the form x+ f (t, x)= 0, where f is
periodic in the t–variable and show the existence of infinitely many periodic solutions as well …

Multiple positive solutions of superlinear elliptic problems with sign-changing weight

D Bonheure, JM Gomes, P Habets - Journal of differential equations, 2005 - Elsevier
Multiple positive solutions of superlinear elliptic problems with sign-changing weight Page 1 J.
Differential Equations 214 (2005) 36–64 www.elsevier.com/locate/jde Multiple positive …

Superlinear indefinite equations on the real line and chaotic dynamics

A Capietto, W Dambrosio, D Papini - Journal of Differential Equations, 2002 - Elsevier
In this paper we are concerned with a differential equation of the form x ̈+ cx ̇+ q (t) g (x)=
0, t∈(a, b), where−∞⩽ a< b⩽+∞, q has infinitely many zeros in (a, b), and g is superlinear …