Singular quadratic functionals and transformation of linear Hamiltonian systems

Zuzana Došlá

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Displaying similar documents to “Singular quadratic functionals and transformation of linear Hamiltonian systems”

On transformations of singular quadratic functionals corresponding to equation ${(p y^{'})}^{'} + q y = 0$

Zuzana Došlá, Ondřej Došlý (1988)

Archivum Mathematicum

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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.

Displaying similar documents to “Singular quadratic functionals and transformation of linear Hamiltonian systems”

On transformations of singular quadratic functionals corresponding to equation ( p y ' ) ' + q y = 0

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

On transformations of singular quadratic functionals corresponding to equation ${(p y^{'})}^{'} + q y = 0$