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Rate of convergence on the mixed summation integral type operators.

Sinha, Jyoti, Singh, V.K. (2006)

General Mathematics

Realization theory methods for the stability investigation of nonlinear infinite-dimensional input-output systems

Volker Reitmann (2011)

Mathematica Bohemica

Realization theory for linear input-output operators and frequency-domain methods for the solvability of Riccati operator equations are used for the stability and instability investigation of a class of nonlinear Volterra integral equations in a Hilbert space. The key idea is to consider, similar to the Volterra equation, a time-invariant control system generated by an abstract ODE in a weighted Sobolev space, which has the same stability properties as the Volterra equation.

Recent development in the theory of linear partial differential equations.

Dieudonné, Jean (1980)

International Journal of Mathematics and Mathematical Sciences

Reduction of operator families to integral form.

Korotkov, V.B. (2006)

Sibirskij Matematicheskij Zhurnal

Regular Eigenvalue Problems with Eigenvalue Parameter in the Boundary Condition.

Johann Walter (1973)

Mathematische Zeitschrift

Régularité lipschitzienne et solutions de l'équation des ondes sur une variété riemannienne compacte

Y. Colin de Verdière, M. Frisch (1975/1976)

Séminaire Équations aux dérivées partielles (Polytechnique)

Relation between real and complex properties of the Laplace transform

Miroslav Sova (1980)

Časopis pro pěstování matematiky

Relations between weighted Orlicz and $B M O_{φ}$ spaces through fractional integrals

Eleonor Ofelia Harboure, Oscar Salinas, Beatriz E. Viviani (1999)

Commentationes Mathematicae Universitatis Carolinae

We characterize the class of weights, invariant under dilations, for which a modified fractional integral operator $I_{α}$ maps weak weighted Orlicz $- φ$ spaces into appropriate weighted versions of the spaces $B M O_{ψ}$ , where $ψ (t) = t^{α / n} φ^{- 1} (1 / t)$ . This generalizes known results about boundedness of $I_{α}$ from weak $L^{p}$ into Lipschitz spaces for $p > n / α$ and from weak $L^{n / α}$ into $B M O$ . It turns out that the class of weights corresponding to $I_{α}$ acting on weak $- L_{φ}$ for $φ$ of lower type equal or greater than $n / α$ , is the same as the one solving the problem for weak...