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Trench's Perturbation Theorem for Dynamic Equations [PDF]
Discrete Dynamics in Nature and Society, 2007 We consider a nonoscillatory second-order linear dynamic equation on a time scale together with a linear perturbation of this equation and give conditions on the perturbation that guarantee that the perturbed equation is also nonoscillatory and has ...
Martin Bohner, Stevo Stevic
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Gordon type theorem for measure perturbation
Electronic Journal of Differential Equations, 2011 Generalizing the concept of Gordon potentials to measures we prove a version of Gordon's theorem for measures as potentials and show absence of eigenvalues for these one-dimensional Schrodinger operators.
Christian Seifert
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Analytic Resolving Families for Equations with Distributed Riemann–Liouville Derivatives
Mathematics, 2022 Some new necessary and sufficient conditions for the existence of analytic resolving families of operators to the linear equation with a distributed Riemann–Liouville derivative in a Banach space are established.
Vladimir E. Fedorov +3 more
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Analytic Resolving Families for Equations with the Dzhrbashyan–Nersesyan Fractional Derivative
Fractal and Fractional, 2022 In this paper, a criterion for generating an analytic family of operators, which resolves a linear equation solved with respect to the Dzhrbashyan–Nersesyan fractional derivative, via a linear closed operator is obtained.
Vladimir E. Fedorov +2 more
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A new class of fractional impulsive differential hemivariational inequalities with an application
Nonlinear Analysis, 2022 We consider a new fractional impulsive differential hemivariational inequality, which captures the required characteristics of both the hemivariational inequality and the fractional impulsive differential equation within the same framework.
Yun-hua Weng +3 more
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Majorization, 4G Theorem and Schrödinger perturbations [PDF]
Journal of Evolution Equations, 2015 Schr dinger perturbations of transition densities by singular potentials may fail to be comparable with the original transition density. For instance this is so for the transition density of a subordinator perturbed by any time-independent unbounded potential.
Bogdan, Krzysztof +2 more
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Best Fredholm perturbation theorems [PDF]
Studia Mathematica, 1988 Consider a basic Fredholm perturbation theorem; for example: Let T be a Fredholm operator and suppose that B is a linear operator with \(\| B\|
Schechter, M, Whitley, Robert
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A new minimax theorem and a perturbed James's theorem [PDF]
Bulletin of the Australian Mathematical Society, 2002 The main result of this paper is a sufficient condition for the minimax relation to hold for the canonical bilinear form on X × Y, where X is a nonempty convex subset of a real locally convex space and Y is a nonempty convex subset of its dual. Using the known “converse minimax theorem”, this result leads easily to a nonlinear generalisation of James's
Ruiz Galán, M., Simons, S.
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Existence, nonexistence and multiplicity of positive solutions for singular quasilinear problems
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In the present paper we deal with a quasilinear problem involving a singular term and a parametric superlinear perturbation. We are interested in the existence, nonexistence and multiplicity of positive solutions as the parameter $\lambda>0$ varies.
Ricardo Alves
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Perturbations and Weyl’s theorem [PDF]
Proceedings of the American Mathematical Society, 2007 A Banach space operator T T is completely hereditarily normaloid, T ∈ C H N T\in \mathcal {CHN} , if either every part, and (also) T p − 1 T_p^{-1} for every invertible part T
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