Results 21 to 30 of about 1,313,453 (353)
Representation and stability of distributed order resolvent families
AIMS Mathematics, 2022 We consider the resolvent family of the following abstract Cauchy problem (1.1) with distributed order Caputo derivative, where A is a closed operator with dense domain and satisfies some further conditions.
Chen-Yu Li
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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
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Resolvents of elliptic cone operators [PDF]
Journal of Functional Analysis, 2006 We prove the existence of sectors of minimal growth for general closed extensions of elliptic cone operators under natural ellipticity conditions. This is achieved by the construction of a suitable parametrix and reduction to the boundary. Special attention is devoted to the clarification of the analytic structure of the resolvent.
Thomas Krainer +3 more
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Consistent spectral approximation of Koopman operators using resolvent compactification [PDF]
Nonlinearity, 2023 Koopman operators and transfer operators represent dynamical systems through their induced linear action on vector spaces of observables, enabling the use of operator-theoretic techniques to analyze nonlinear dynamics in state space.
Dimitrios Giannakis, C. Valva
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Resolvents of $\mathscr{R}$-diagonal operators [PDF]
Transactions of the American Mathematical Society, 2010 29 pages, 12 figures, used gastex ...
Haagerup, Uffe +2 more
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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
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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
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Inverses of generators of integrated fractional resolvent operator functions [PDF]
Fractional Calculus and Applied Analysis, 2018 This paper is devoted to the inverse generator problem in the setting of generators of integrated resolvent operator functions. It is shown that if the operator A is the generator of a tempered β-times integrated α-resolvent operator function ((α, β)-ROF)
Miao Li, J. Pastor, S. Piskarev
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On One Method of Studying Spectral Properties of Non-selfadjoint Operators
Abstract and Applied Analysis, 2020 In this paper, we explore a certain class of Non-selfadjoint operators acting on a complex separable Hilbert space. We consider a perturbation of a nonselfadjoint operator by an operator that is also nonselfadjoint.
Maksim V. Kukushkin
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