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On Strongly Continuous Resolving Families of Operators for Fractional Distributed Order Equations [PDF]

open access: yesFractal and Fractional, 2021
The aim of this work is to find by the methods of the Laplace transform the conditions for the existence of a strongly continuous resolving family of operators for a linear homogeneous equation in a Banach space with the distributed Gerasimov–Caputo ...
Vladimir E. Fedorov, Nikolay V. Filin
doaj   +3 more sources

Characterizations and decomposition of strongly Wright-convex functions of higher order [PDF]

open access: yesOpuscula Mathematica, 2015
Motivated by results on strongly convex and strongly Jensen-convex functions by R. Ger and K. Nikodem in [Strongly convex functions of higher order, Nonlinear Anal.
Attila Gilányi   +3 more
doaj   +2 more sources

Properties of Topologies for the Continuous Representability of All Weakly Continuous Preorders [PDF]

open access: yesMathematics, 2023
We investigate properties of strongly useful topologies, i.e., topologies with respect to which every weakly continuous preorder admits a continuous order-preserving function.
Gianni Bosi   +2 more
doaj   +2 more sources

On the existence of continuous solutions for nonlinear fourth-order elliptic equations with strongly growing lower-order terms

open access: yesRocky Mountain Journal of Mathematics, 2017
In this article, we consider nonlinear elliptic fourth-order equations with the monotone principal part satisfying the common growth and coerciveness conditions for Sobolev space $W^{2,p}(\Omega )$, $\Omega \subset \mathbb {R}^{n}$. It is supposed that the lower-order term of the equations admits arbitrary growth with respect to an unknown function and
Mykhailo V Voitovych
openaire   +4 more sources

Statistical Ergodic Theorem in Symmetric Spaces for Infinite Measures

open access: yesСовременная математика: Фундаментальные направления, 2021
Let (Ω,μ) be a measurable space with σ -finite continuous measure, μ(Ω)=∞. A linear operator T:L1(Ω)+L∞(Ω)→L1(Ω)+L∞(Ω) is called the Dunford-Schwartz operator if ||T(f)||1||f||1 (respectively, ||T(f)||∞||f||∞) for all f∈L1(Ω) (respectively, f∈L∞(Ω)). {Tt}
A. S. Veksler, V. I. Chilin
doaj   +1 more source

Second-order strongly elliptic operators on Lie groups with Hölder continuous coefficients [PDF]

open access: yesJournal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1997
AbstractLetGbe a connected Lie group with Lie algebra g anda1, …,adan algebraic basis of g. Further letAidenote the generators of left translations, acting on theLp-spacesLp(G; dg)formed with left Haar measuredg, in the directions ai. We consider second-order operatorsin divergence form corresponding to a quadratic form with complex coefficients ...
Elst, ter, A.F.M., Robinson, D.W.
openaire   +2 more sources

An abstract nonlocal second order evolution problem [PDF]

open access: yesOpuscula Mathematica, 2012
The aim of the paper is to prove theorems on the existence and uniqueness of mild and classical solutions of a semilinear evolution second order equation together with nonlocal conditions.
Ludwik Byszewski, Teresa Winiarska
doaj   +1 more source

Approximate controllability of second-order impulsive neutral stochastic differential equations with state-dependent delay and Poisson jumps

open access: yesJournal of Inequalities and Applications, 2023
We consider the approximate controllability for a class of second-order impulsive neutral stochastic differential equations with state-dependent delay and Poisson jumps in a real separable Hilbert space.
Hao Huang, Zheng Wu, Xiaofeng Su
doaj   +1 more source

Two sharp inequalities for operators in a Hilbert space

open access: yesResearches in Mathematics, 2022
In this paper we obtained generalisations of the L. V. Taikov’s and N. Ainulloev’s sharp inequalities, which estimate a norm of function's first-order derivative (L. V. Taikov) and a norm of function's second-order derivative (N.
N.O. Kriachko
doaj   +1 more source

Connected flow-through chromatography processes as continuous downstream processing of proteins [PDF]

open access: yesMATEC Web of Conferences, 2019
Continuous manufacturing is expected to increase the productivity of protein drug production. However, it is not easy to build the continuous process especially for downstream processing as many unit operations (chromatography and membrane filtration ...
Yoshimoto Noriko   +2 more
doaj   +1 more source

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