Results 11 to 20 of about 29,973 (286)
Resolvent Positive Operators and Positive Fractional Resolvent Families [PDF]
Journal of Function Spaces, 2021 This paper is concerned with positive α-times resolvent families on an ordered Banach space E (with normal and generating cone), where ...
Nan-Ding Li, Ru Liu, Miao Li
doaj +3 more sources
Resolvent estimates for 2-dimensional perturbations of plane Couette flow
Electronic Journal of Differential Equations, 2002 We present results concerning resolvent estimates for the linear operator associated with the system of differential equations governing 2 dimensional perturbations of plane Couette flow.
Pablo Braz e Silva
doaj +5 more sources
Spectrum of a family of operators [PDF]
Surveys in Mathematics and its Applications, 2011 Having as start point the classic definitions of resolvent set and spectrum of a linear bounded operator on a Banach space, we introduce the resolvent set and spectrum of a family of linear bounded operators on a Banach space.
Simona Macovei
doaj +3 more sources
GENERALIZED RESOLVENTS OF OPERATORS GENERATED BY INTEGRAL EQUATIONS
Проблемы анализа, 2018 We define a minimal operator L0 generated by an integral equation with an operator measure and give a description of the adjoint operator L∗0. We prove that every generalized resolvent of L0 is an integral operator and give a description of boundary ...
V. M. Bruk
doaj +2 more sources
An Introduction to Spectral Theory of Bounded Linear Operators in Intuitionistic Fuzzy Pseudo Normed Linear Space [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, focus is on the study of spectrum and the spectral properties of bounded linear operators in intuitionistic fuzzy pseudo normed linear spaces(IFPNLS).
Bivas Dinda +2 more
doaj +1 more source
Fractal and Fractional, 2022 This article primarily focuses on the approximate controllability of fractional semilinear integrodifferential equations using resolvent operators. Two alternative sets of necessary requirements have been studied.
Velusamy Vijayakumar +6 more
doaj +1 more source
Вестник КазНУ. Серия математика, механика, информатика, 2021 In this paper we consider the properties of the resolvent of a linear operator corresponding to a degenerate singular second-order differential equation with variable coefficients, considered in the Lebesgue space.
K. N. Ospanov, A. N. Yesbayev
doaj +1 more source
Abstract Impulsive Volterra Integro-Differential Inclusions
Fractal and Fractional, 2023 In this work, we provide several applications of (a, k)-regularized C-resolvent families to the abstract impulsive Volterra integro-differential inclusions.
Wei-Shih Du +2 more
doaj +1 more source
Resolvents of $\mathscr{R}$-diagonal operators [PDF]
Transactions of the American Mathematical Society, 2010 Summary: We consider the resolvent \((\lambda-a)^{-1}\) of any \(\mathcal R\)-diagonal operator \(a\) in a \(\Pi_1\)-factor. Our main theorem (Theorem 1.1) gives a universal asymptotic formula for the norm of such a resolvent. En route to its proof, we calculate the \(\mathcal R\)-transform of the operator \(|\lambda-c|^2\), where \(c\) is Voiculescu's
Uffe Haagerup +2 more
openaire +2 more sources
Impulsive Fractional Semilinear Integrodifferential Equations with Nonlocal Conditions
Journal of Function Spaces, 2021 This paper is devoted to a class of impulsive fractional semilinear integrodifferential equations with nonlocal initial conditions. Based on the semigroup theory and some fixed point theorems, the existence theory of PC-mild solutions is established ...
Xue Wang, Bo Zhu
doaj +1 more source