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ON ABSTRACT NONLINEAR DIFFERENTIAL EQUATIONS OF SECOND ORDER
H. L. Tidke (India) and M. B. Dhakne (India)
Received February 25, 2009
Abstract
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This paper deals with the study of existence and uniqueness of solutions of nonlinear second order differential equations. The main tools in our analysis are based on the theory of the strongly continuous cosine family and a modified version of contraction mapping principle. |
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Keywords and phrases:
existence of solutions, uniqueness, cosine family, contraction mapping principle. |
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