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Second order evolution equations with parameter

Jan Bochenek, Teresa Winiarska (1994)

Annales Polonici Mathematici

We give some theorems on continuity and differentiability with respect to (h,t) of the solution of a second order evolution problem with parameter h Ω m . Our main tool is the theory of strongly continuous cosine families of linear operators in Banach spaces.

Semilinear elliptic problems in unbounded domains

Aleksandra Orpel (2006)

Applicationes Mathematicae

We investigate the existence of positive solutions and their continuous dependence on functional parameters for a semilinear Dirichlet problem. We discuss the case when the domain is unbounded and the nonlinearity is smooth and convex on a certain interval only.

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