Approximate analytical solutions for some obstacle problems

Integrability for Solutions of Anisotropic Obstacle Problems

Correspondence should be addressed to Hongya Gao, [email protected] Received 30 March 2012; Revised 26 April 2012; Accepted 23 May 2012 Academic Editor: Martino Bardi Copyright q 2012 Hongya Gao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is...

A Review of Some Recent Results for the Approximate Analytical Solutions of Nonlinear Differential Equations

This paper features a survey of some recent developments in techniques for obtaining approximate analytical solutions of some nonlinear differential equations arising in various fields of science and engineering. Adomian’s decomposition method is applied to some nonlinear problems, and some mathematical tools such as He’s homotopy perturbation method and variational iteration method are introdu...

Simple Solutions for Approximate Tree Matching Problems

Optimality conditions for approximate solutions of vector optimization problems with variable ordering structures

‎We consider nonconvex vector optimization problems with variable ordering structures in Banach spaces‎. ‎Under certain boundedness and continuity properties we present necessary conditions for approximate solutions of these problems‎. ‎Using a generic approach to subdifferentials we derive necessary conditions for approximate minimizers and approximately minimal solutions of vector optimizatio...

Analytical Approximate Solutions for the Helmholtz- Duffing Oscillator

In the present paper, a new analytical technique is introduced for obtaining approximate periodic solutions of Helmholtz-Duffing oscillator. Modified Harmonic Balance Method (MHBM) is adopted as the solution method. A classical harmonic balance method does not apply directly for solving Helmholtz-Duffing oscillator. Generally, a set of difficult nonlinear algebraic equations is found when MHBM ...