Results 11 to 20 of about 567,762 (287)
The Resolvent of Impulsive Singular Hahn–Sturm–Liouville Operators [PDF]
Annales Mathematicae SilesianaeIn this study, the resolvent of the impulsive singular Hahn–Sturm– Liouville operator is considered. An integral representation for the resolvent of this operator is obtained.
Allahverdiev Bilender P. +2 more
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Resolvent for Non-Self-Adjoint Differential Operator with Block-Triangular Operator Potential [PDF]
Abstract and Applied Analysis, 2016 A resolvent for a non-self-adjoint differential operator with a block-triangular operator potential, increasing at infinity, is constructed. Sufficient conditions under which the spectrum is real and discrete are obtained.
Aleksandr Mikhailovich Kholkin
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Resonance fluorescence in the resolvent-operator formalism [PDF]
Physical Review A, 2017 The Mollow spectrum for the light scattered by a driven two-level atom is derived in the resolvent operator formalism. The derivation is based on the construction of a master equation from the resolvent operator of the atom-field system. We show that the natural linewidth of the excited atomic level remains essentially unmodified, to a very good level ...
Debierre, V., Harman, Z.
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ON THE RESOLVENT OF SOME CLASS OF GENERALIZED DIFFERENTIAL OPERATOR
Вестник Донского государственного технического университета, 2018 In the article is given representation of the resolvent for generalized differential operator with generating function in the space of holomorphic functions.
A.V. BRATISHCHEV, A.V. MORZHAKOV
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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). In Hölder spaces, these are the natural elliptic estimates for generalized Kimura diffusions.
Charles L. Epstein, Rafe Mazzeo
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Extended resolvent of the heat operator with a multisoliton potential [PDF]
Theoretical and Mathematical Physics, 2012 The heat operator with a general multisoliton potential is considered and its extended resolvent, depending on a parameter $q\in\R^2$ is derived. Its boundedness properties in all variables and its discontinuities in the parameter $q$ are given. As the result, the Green's functions are introduced and their properties are studied in detail.
BOITI, Marco +2 more
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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
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Generalized monotone operators and their averaged resolvents [PDF]
Mathematical Programming, 2020 The correspondence between the monotonicity of a (possibly) set-valued operator and the firm nonexpansiveness of its resolvent is a key ingredient in the convergence analysis of many optimization algorithms. Firmly nonexpansive operators form a proper subclass of the more general - but still pleasant from an algorithmic perspective - class of averaged ...
Heinz H. Bauschke +2 more
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Trace formulae and singular values of resolvent power differences of self-adjoint elliptic operators [PDF]
, 2013 In this note self-adjoint realizations of second order elliptic differential expressions with non-local Robin boundary conditions on a domain Ω⊂Rn with smooth compact boundary are studied. A Schatten--von Neumann type estimate for the singular values of
Lotoreichik, Vladimir +2 more
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Alexandria Engineering Journal, 2023 In this work, to show the existence and uniqueness solution of functional integrodifferential equation with nonlocal condition and finite delay function.
Kottakkaran Sooppy Nisar +2 more
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