An analytic study on the multi-pantograph delay equations with variable coefficients

作者：Feng Xinlong^*

来源：Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, 2013, 56(2): 205-215.

• Multi-pantograph equations
• homotopy perturbation method
• homotopy analysis method
• delay differential equations
• convergence analysis

In this paper, the homotopy perturbation method (HPM) is applied to solve the multi-pantograph delay equations with variable coefficients. The sufficient conditions are given to assure the convergence of this method. Several examples are presented to demonstrate the efficiency and reliability of the HPM and numerical results are discussed. Compared with other related methods in references, the results of the HPM show its better performance than others.

• 出版日期2013
• 单位新疆大学