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EXISTENCE AND UNIQUENESS OF MILD SOLUTIONS OF SECOND ORDER SEMILINEAR DIFFERENTIAL EQUATIONS IN BANACH SPACE

Ya Gorbatenko
2011 Methods of Functional Analysis and Topology   unpublished

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We consider the Cauchy problem for second order semilinear differential equations in Banach space. Sufficient conditions of local and global existence and uniqueness of mild solutions are presented.
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Ya Gorbatenko. "EXISTENCE AND UNIQUENESS OF MILD SOLUTIONS OF SECOND ORDER SEMILINEAR DIFFERENTIAL EQUATIONS IN BANACH SPACE." Methods of Functional Analysis and Topology (2011)