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Displaying similar documents to “A singular functional-differential equation.”

Nonnegativity of functionals corresponding to the second order half-linear differential equation

Robert Mařík (1999)

Archivum Mathematicum

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In this paper we study extremal properties of functional associated with the half–linear second order differential equation E p . Necessary and sufficient condition for nonnegativity of this functional is given in two special cases: the first case is when both points are regular and the second is the case, when one end point is singular. The obtained results extend the theory of quadratic functionals.