Variational Methods for NLEV Approximation Near a Bifurcation Point

Upper and lower bounds for higher order eigenvalues of some semilinear elliptic equations

1. Chiappinelli, Raffaele; Furi, Massimo; Pera, Maria Patrizia Persistence of the normalized eigenvectors of a perturbed operator in the variational case Glasg. Math. J. 55 (2013), no. 3, 629–638. 2. Chiappinelli, Raffaele Variational methods for NLEV approximation near a bifurcation point Int. J. Math. Math. Sci. 2012, Art. ID 102489, 32 pp 3. Chiappinelli, Raffaele; Furi, Massimo; Pera, Maria...

A Relaxed Extra Gradient Approximation Method of Two Inverse-Strongly Monotone Mappings for a General System of Variational Inequalities, Fixed Point and Equilibrium Problems

Bifurcation in a variational problem on a surface with a constraint

We describe a variational problem on a surface under a constraintof geometrical character. Necessary and sufficient conditions for the existence ofbifurcation points are provided. In local coordinates the problem corresponds toa quasilinear elliptic boundary value problem. The problem can be consideredas a physical model for several applications referring to continuum medium andmembranes.

Stability and Bifurcation of an SIS Epidemic Model with Saturated Incidence Rate and Treatment Function

       In this paper an SIS epidemic model with saturated incidence rate and treatment func- tion is proposed and studied. The existence of all feasible equilibrium points is discussed. The local stability conditions of the disease free equilibrium point and endemic equilibrium point are established with the help of basic reproduction number.However the global stabili- ty conditions of these eq...

A Numerical Bifurcation Function for Homoclinic Orbits

We present a numerical method to locate periodic orbits near homoclinic orbits. Using a method of X.-B. Lin and solutions of the adjoint variational equation, we get a bifurcation function for periodic orbits whose period is asymptotic to innnity on approaching a homoclinic orbit. As a bonus, a linear predictor for continuation of the homoclinic orbit is easily available. Numerical approximatio...