Canards and curvature: nonsmooth approximation by pinching [PDF]
, 2011 In multiple time-scale (singularly perturbed) dynamical systems, canards are counterintuitive solutions that evolve along both attracting and repelling invariant manifolds.
Desroches, MF, Jeffrey, MR
core +4 more sources
Periodic Solutions of Second-Order Differential Inclusions Systems with -Laplacian
Abstract and Applied Analysis, 2012 The existence of periodic solutions for nonautonomous second-order differential inclusion systems with -Laplacian is considered. We get some existence results of periodic solutions for system, a.e. , , by using nonsmooth critical point theory.
Liang Zhang, Peng Zhang
doaj +1 more source
Multiple solutions for nonlinear discontinuous strongly resonant elliptic problems
Abstract and Applied Analysis, 2000 We consider quasilinear strongly resonant problems with discontinuous right-hand side. To develop an existence theory we pass to a multivalued problem by, roughly speaking, filling in the gaps at the discontinuity points.
Nikolaos C. Kourogenis +1 more
doaj +1 more source
Nontrivial solutions of variational inequalities. The degenerate case [PDF]
, 2001 We consider a class of asymptotically linear variational inequalities. We show the existence of a nontrivial solution under assumptions which allow the problem to be degenerate at the ...
Lancelotti, Sergio
core +1 more source
Doubly resonant semilinear elliptic problems via nonsmooth critical point theory
Journal of Differential Equations, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
JEAN NOEL CORVELLEC +2 more
openaire +3 more sources
Global Solutions to Nonconvex Optimization of 4th-Order Polynomial and Log-Sum-Exp Functions [PDF]
, 2014 This paper presents a canonical dual approach for solving a nonconvex global optimization problem governed by a sum of fourth-order polynomial and a log-sum-exp function. Such a problem arises extensively in engineering and sciences.
Chen, Yi, Gao, David Y
core +1 more source
Existence of a nontrival solution for Dirichlet problem involving p(x)-Laplacian
, 2014 In this paper we study the nonlinear Dirichlet problem involving p(x)-Laplacian (hemivariational inequality) with nonsmooth potential. By using nonsmooth critical point theory for locally Lipschitz functionals due to Chang and the properties of ...
Barnaś, Sylwia
core +1 more source
Three solutions for second-order impulsive differential inclusions with Sturm-Liouville boundary conditions via nonsmooth critical point theory [PDF]
Topological Methods in Nonlinear Analysis, 2015 A second-order impulsive differential inclusion with Sturm-Liouville boundary conditions is studied. By using a nonsmooth version of a three critical point theorem of Ricceri, the existence of three solutions is obtained.
Tian, Yu +3 more
openaire +2 more sources
Multiple Solutions for a Class of Differential Inclusion System Involving the (p(x),q(x))-Laplacian
Abstract and Applied Analysis, 2012 We consider a differential inclusion system involving the (p(x),q(x))-Laplacian with Dirichlet boundary condition on a bounded domain and obtain two nontrivial solutions under appropriate hypotheses.
Bin Ge, Ji-Hong Shen
doaj +1 more source
Periodic solution for second-order impulsive differential inclusions with relativistic operator
Boundary Value Problems, 2018 In this paper, the boundary value problem of a second-order impulsive differential inclusion involving a relativistic operator is studied. First, the singular problem is reduced to an equivalent non-singular problem in order to better apply the ...
Suiming Shang +3 more
doaj +1 more source