Perturbation analysis of sub/super hedging problems

Simulation and perturbation analysis of escape oscillator

The dynamical behaviour of the forced escape oscillator, which depends on the parameter values we considered, have been studied numerically using the techniques of phase portraits and Poincar'{e} sections. Also, we employed perturbation methods such as Lindstedt's method to obtain the frequency-amplitude relation of escape oscillator.

Perturbation analysis of second-order cone programming problems

We discuss first and second order optimality conditions for nonlinear second-order cone programming problems, and their relation with semidefinite programming problems. For doing this we extend in an abstract setting the notion of optimal partition. Then we state a characterization of strong regularity in terms of second order optimality conditions.

Symmetry in Perturbation Problems

The work is devoted to a new branch of application of continuous group’s techniques in the investigation of nonlinear differential equations. The principal stages of the development of perturbation theory of nonlinear differential equations are considered in short. It is shown that its characteristic features make it possible a fruitful usage of continuous group’s techniques in problems of pert...

The Method of Subsuper Solutions for Weighted p(r)-Laplacian Equation Boundary Value Problems

Perturbation of Palindromic Eigenvalue Problems

We investigate the perturbation of the palindromic eigenvalue problem for the matrix quadratic P (λ) ≡ λA1 + λA0 + A1, with A0, A1 ∈ Cn×n and A0 = A0. The perturbation of palindromic eigenvalues and eigenvectors, in terms of general matrix polynomials, palindromic linearizations, (semi-Schur) anti-triangular canonical forms, differentiation and Sun’s implicit function approach, are discussed.