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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Feynman–Hellmann theorem for resonances and the quest for QCD exotica [PDF]
European Physical Journal C: Particles and Fields, 2017 The generalization of the Feynman–Hellmann theorem for resonance states in quantum field theory is derived. On the basis of this theorem, a criterion is proposed to study the possible exotic nature of certain hadronic states emerging in QCD.
J. Ruiz de Elvira +3 more
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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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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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Generic perturbations of linear integrable Hamiltonian systems [PDF]
, 2015 In this paper, we investigate perturbations of linear integrable Hamiltonian systems, with the aim of establishing results in the spirit of the KAM theorem (preservation of invariant tori), the Nekhoroshev theorem (stability of the action variables for a
A. Bounemoura +26 more
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Generators of Analytic Resolving Families for Distributed Order Equations and Perturbations
Mathematics, 2020 Linear differential equations of a distributed order with an unbounded operator in a Banach space are studied in this paper. A theorem on the generation of analytic resolving families of operators for such equations is proved.
Vladimir E. Fedorov
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An Augmented Lagrangian Algorithm for Solving Semiinfinite Programming
Journal of Applied Mathematics, 2012 We present a smooth augmented Lagrangian algorithm for semiinfinite programming (SIP). For this algorithm, we establish a perturbation theorem under mild conditions.
Qian Liu, Changyu Wang
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Singular boundary value problem on infinite time scale
Discrete Dynamics in Nature and Society, 2006 This paper deals with a class of singular boundary value problems of differential equations on infinite time scale. An existence theorem of positive solutions is established by using the Schauder fixed point theorem and perturbation and operator ...
Zhao-Cai Hao, Jin Liang, Ti-Jun Xiao
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