Boundedness of solutions for a class of nonlinear planar systems.
There are many studies for the global behavior of Liénard or generalized Liénard equations. The main concerns are the boundedness of solutions, stability of singular points and the existence of periodic solutions. Here, the authors etablish new boundedness results for a class of nonlinear planar systems including some generalized Liénard equations.The results are quite sharp and represent improvements and generalizations of some known ones in the literature.
scientific article; zbMATH DE number 1854207
scientific article