Results 51 to 60 of about 540,702 (189)
New Results on Ulam Stabilities of Nonlinear Integral Equations
MathematicsThis article deals with the study of Hyers–Ulam stability (HU stability) and Hyers–Ulam–Rassias stability (HUR stability) for two classes of nonlinear Volterra integral equations (VIEqs), which are Hammerstein-type integral and Hammerstein-type ...
Osman Tunç, Cemil Tunç, Jen-Chih Yao
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Nuclear Physics B, 2018 We propose a closed gauge-invariant functional flow equation for Yang–Mills theories and quantum gravity that only involves one macroscopic gauge field or metric. It is based on a projection on physical and gauge fluctuations. Deriving this equation from
C. Wetterich
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On the Study Of Asymptotically Almost Periodic Solutions of a Class of Impulsive Population Models [PDF]
Xibei Gongye Daxue Xuebao, 2018 Based on the Mawhin continuous theorem, the existence of strictly positive asymptotically almost periodic solutions of a class of impulsive population models is studied. The conclusion generalizes the conclusion of the existing literatures.
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Monotonic solutions of functional integral and differential equations of fractional order
Electronic Journal of Qualitative Theory of Differential Equations, 2009 The existence of positive monotonic solutions, in the class of continuous functions, for some nonlinear quadratic integral equations have been studied by J. Banas. Here we are concerned with a singular quadratic functional integral equations.
Ahmed El-Sayed, H. H. G. Hashem
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Integral equations involving generalized Mittag-Leffler function
Ukrains’kyi Matematychnyi Zhurnal, 2020 UDC 517.5 The paper deals with solving the integral equation with a generalized Mittag-Leffler function E α , β γ , q ( z ) that defines a kernel using a fractional integral operator. The existence of the solution is justified and necessary conditions on the integral equation admiting a solution are ...
Rachana Desai +2 more
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, 2013 The equation of motion for the reduced Wigner function of a system coupled to an external quantum system is presented for the specific case when the external quantum system can be modeled as a set of harmonic oscillators.
Brosens, Fons, Sels, Dries
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Path Integral Over Black Hole Fluctuations
, 2005 Evaluating a functional integral exactly over a subset of metrics that represent the quantum fluctuations of the horizon of a black hole, we obtain a Schroedinger equation in null coordinate time for the key component of the metric. The equation yields a
Bjoern S. Schmekel +4 more
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New Retarded Integral Inequalities with Applications
Journal of Inequalities and Applications, 2008 Some new nonlinear integral inequalities of Gronwall type for retarded functions are established, which extend the results Lipovan (2003) and Pachpatte (2004).
S. K. Sen, Young-Ho Kim, Ravi P. Agarwal
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Global Asymptotic Stability for Nonlinear Functional Integral Equation of Mixed Type
Journal of Applied Mathematics, 2013 The existence results of global asymptotic stability of the solution are proved for functional integral equation of mixed type. The measure of noncompactness and the fixed-point theorem of Darbo are the main tools in carrying out our proof.
Zhinan Xia
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Analytic results on the geometric entropy for free fields
, 2008 The trace of integer powers of the local density matrix corresponding to the vacuum state reduced to a region V can be formally expressed in terms of a functional integral on a manifold with conical singularities. Recently, some progress has been made in
Calabrese P +16 more
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