Abstract
Objective: In this paper we are concerned about the existence of solution for a nonlinear hyperbolic variational inequality in Sobolev space under certain conditions.
Method: We discuss the penalty method and Gronwall’s inequality for the variational inequality.
Results and Discussion: Using penalty method we obtain the existence of solutions for a nonlinear partial differential equation which was handled by Lions, J. (1997). Further results can be found in Ekeland,I. and Temam,R.(1976),Chipot,M.(1984) .
Implications of the research: Apply in the first university years the application of a non- linear hyperbolic variational inequality to dynamic systems in all university careers and specialties as part of the management of the tools of Information and Communication Technology (TIC).
Originality/Value: This paper also provides an alternative approach to Analysis of vibration amplitudes with generalized potentials with MATLAB.
Publisher
RGSA- Revista de Gestao Social e Ambiental
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