scholarly journals Boundedness of solutions for nonlinear differential equations

2003 ◽  
Vol 37 (7-8) ◽  
pp. 747-755
Author(s):  
Xiaojing Yang
Keyword(s):  
Differential Equations ◽  
Nonlinear Differential Equations ◽  
Boundedness Of Solutions

scholarly journals A note on boundedness of solutions to a class of non-autonomous differential equations of second order

2010 ◽  
Vol 4 (2) ◽  
pp. 361-372 ◽  
Author(s):  
Cemil Tunç
Keyword(s):  
Theoretical Analysis ◽  
Differential Equations ◽  
Nonlinear Differential Equations ◽  
Second Order ◽  
Boundedness Of Solutions ◽  
Integral Test ◽  
Liapunov Functions ◽  
Autonomous Differential Equations

By defining some appropriate Liapunov functions, we discuss boundedness of solutions to a class of non-autonomous and nonlinear differential equations of second order. By this work, we prove some results established in the literature by Liapunov's second method instead of the integral test. We give six examples to illustrate the theoretical analysis in this work and effectiveness of the method utilized here.

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