- 期刊
GLOBAL EXISTENCE AND BOUNDEDNESS FOR QUASI-VARIATIONAL SYSTEMS
摘要
We consider quasi-variational ordinary differential systems, which may be considered as the motion law for holonomic mechanical systems. Even when the potential energy of the system is not bounded from below, by constructing appropriate Liapunov functions and using the comparison method, we obtain sufficient conditions for global existence of solutions in the future and for their partial boundedness.
延伸閱讀
- Zhang, Z. C., & Li, Y. Y. (2012). Boundedness of Global Solutions for a Heat Equation with Exponential Gradient Source. Abstract and Applied Analysis, 2012(), 1172-1181-277. https://doi.org/10.1155/2012/398049
- Apreutesei, N. (2005). CONTINUOUS DEPENDENCE ON DATA FOR QUASIAUTONOMOUS NONLINEAR BOUNDARY VALUE PROBLEMS. Abstract and Applied Analysis, 2005(), 67-86. https://doi.org/10.1155/AAA.2005.67
- Lee, M. F. (1999). Characterization and existence of solutions to variational inequalities [master's thesis, National Taiwan Normal University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0021-1804200714510104
- Wang, K., Zhang, W., & Fang, M. (2014). Existence and Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems. Abstract and Applied Analysis, 2014(), 718-723-1278. https://doi.org/10.1155/2014/750709
- Liu, W. P., Yang, X. F., & Cao, J. Q. (2010). On Global Attractivity of a Class of Nonautonomous Difference Equations. Discrete Dynamics in Nature and Society, 2010(), 454-466. https://doi.org/10.1155/2010/364083