The number of periodic solutions of some analytic equations of Abel type

作者：Alkoumi Naeem^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2011, 74(16): 5352-5358.

DOI：10.1016/j.na.2011.05.019

• Abel-type equation
• Periodic solution
• Holomorphic function
• Christoffel-Schwarz formula

New results are proved to estimate the number of periodic solutions of a differential equation of Abel type by using a modification of a technique introduced by Ilyashenko. The main tool is an estimate on the number of zeros of a holomorphic function. A concrete example is analyzed but the results are presented to make the method flexible and applicable to other equations.

• 出版日期2011-11