Advances in Differential Equations and Control Processes
Volume 1, Issue 1, Pages 93 - 111
(February 2008)
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EXISTENCE AND UNIQUENESS OF THE SOLUTIONS FOR SECOND ORDER DIFFERENTIAL EQUATIONS WITH IMPULSIVE TERMS
Young-Chel Ahn (Korea), Young-Chel Kwun (Korea) and Dong-Gun Park (Korea)
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Abstract: In this paper, we consider the existence and controllability of the solutions for the impulsive nonlinear second order differential equations with nonlocal conditions by using solution operator and integral contractor. |
Keywords and phrases: nonlinear impulsive evolution, strongly continuous semigroup, contraction mapping, fixed point theorem, cosine family, regular. |
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