Blow-up of Solutions and Local Solvability of an Abstract Cauchy Problem of Second Order with a Noncoercive Sourceстатья
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Аннотация:An abstract Cauchy problem for a second-order differential equation with nonlinear operatorcoefficients is considered. The local solvability of the problem in suitable spaces of abstract continuousand differentiable functions is proved. Sufficient conditions for finite-time blow-up of its solutionsare obtained.