Results 21 to 30 of about 673 (299)
Generalized Yosida Approximations Based on Relatively A-Maximal m-Relaxed Monotonicity Frameworks
Abstract and Applied Analysis, 2013 We introduce and study a new notion of relatively A-maximal m-relaxed monotonicity framework and discuss some properties of a new class of generalized relatively resolvent operator associated with the relatively A-maximal m-relaxed monotone operator and ...
Heng-you Lan
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, 2017 This chapter describes the construction of a resolvent operator using the Laplace transform of a parametrix for the heat kernel and a perturbative argument. In the equation (μ-L) R(μ) f = f, R(μ) is a right inverse for (μ-L).
Charles L. Epstein, Rafe Mazzeo
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H-n-perturbations of self-adjoint operators and Krein's resolvent formula [PDF]
, 2003 Supersingular H-n rank one perturbations of an arbitrary positive self-adjoint operator A acting in the Hilbert space H are investigated. The operator corresponding to the formal expression A(alpha) = A + alpha(phi,.)phi, alpha is an element of R, phi is
Lund University., Kurasov, Pavel,
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Classic and generalized solutions of the mixed problem for wave equation with a summable potential. Part I. Classic solution of the mixed problem [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 The resolvent approach and the using of the idea of A. N. Krylov on the acceleration of convergence of Fourier series, the properties of a formal solution of a mixed problem for a homogeneous wave equation with a summable potential and a zero initial ...
Kurdyumov, Vitalii Pavlovich
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Graph convergence with an application for system of variational inclusions and fixed-point problems
Journal of Inequalities and Applications, 2022 This paper aims at proposing an iterative algorithm for finding an element in the intersection of the solutions set of a system of variational inclusions and the fixed-points set of a total uniformly L-Lipschitzian mapping. Applying the concepts of graph
Javad Balooee, Jen-Chih Yao
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Fractional resolvent family generated by normal operators
AIMS Mathematics, 2023 <abstract><p>The main focus of this paper is on the relationship between the spectrum of generators and the regularity of the fractional resolvent family. We will give a counter-example to show that the point-spectral mapping theorem is not valid for $ \{S_{\alpha}(t)\} $ if $ \alpha \neq 1 $; and we show that if $ \{S_{\alpha}(t)\} $ is ...
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On the Generalized Resolvent in Banach Spaces [PDF]
, 1995 We construct, for a closed densely defined operator A on a Banach space X, a generalized resolvent on the domain of Fredholm regularity of A meromorphic in the Fredholm domain ρφ(A) of ...
Mbekhta, M.
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Fractal and Fractional, 2021 Under a new generalized definition of exact controllability we introduced and with a appropriately constructed time delay term in a special complete space to overcome the delay-induced-difficulty, we establish the sufficient conditions of the exact ...
Daliang Zhao
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Spectral representation of the resolvent of a discrete operator [PDF]
, 1988 Let T be a discrete linear operator in a Hilbert space H with spectrum σ(T) = λii = 1∞, let Rλ(T) denote the resolvent of T, and let Pi denote the projection of H onto the generalized eigenspace N((γi,I − T)mj) along R((γi, I − T)mj), where mi is the ...
Lang, Patrick +3 more
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Fixed Point Theory and Algorithms for Sciences and Engineering, 2021 Splitting algorithms for finding a zero of sum of operators often involve multiple steps which are referred to as forward or backward steps. Forward steps are the explicit use of the operators and backward steps involve the operators implicitly via their
Minh N. Dao, Hung M. Phan
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