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On boundedness of solutions of generalized Liénard’s system and its application. (English) Zbl 0782.34036
Summary: We study the boundedness of solutions and the existence of non-zero periodic solutions for the system $$dx/dt= p(y)$$, $$dy/dt= -p(y)f(x)-g(x)$$. Some new results are proved, which not only generalize some known results, but also relax or improve some traditional assumptions.

##### MSC:
 34C11 Growth and boundedness of solutions to ordinary differential equations 34C25 Periodic solutions to ordinary differential equations 34D40 Ultimate boundedness (MSC2000)