Existence and multiplicity results for nonlinear nonautonomous second-order systems

2008 ◽  
Vol 68 (6) ◽  
pp. 1611-1626 ◽  
Author(s):  
Michael E. Filippakis
2002 ◽  
Vol 2 (4) ◽  
Author(s):  
Anna Capietto ◽  
Francesca Dalbono

AbstractWe prove the existence and multiplicity of solutions, with prescribed nodal properties, for a BVP associated with a system of asymptotically linear second order equations. The applicability of an abstract continuation theorem is ensured by upper and lower bounds on the number of zeros of each component of a solution.


2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
A. Gritsans ◽  
F. Sadyrbaev ◽  
I. Yermachenko

We consider the second order system x′′=f(x) with the Dirichlet boundary conditions x(0)=0=x(1), where the vector field f∈C1(Rn,Rn) is asymptotically linear and f(0)=0. We provide the existence and multiplicity results using the vector field rotation theory.


Sign in / Sign up

Export Citation Format

Share Document