Results 51 to 60 of about 727,614 (177)
On Cheng's eigenvalue comparison theorem
Mathematical Proceedings of the Cambridge Philosophical Society, 2008 AbstractWe observe that Cheng's Eigenvalue Comparison Theorem for normal geodesic balls [4] is still valid if we impose bounds on the mean curvature of the distance spheres instead of bounds on the sectional and Ricci curvatures. In this version, there is a weak form of rigidity in case of equality of the eigenvalues.
Bessa, G. Pacelli, Montenegro, J. Fabio
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Mathematische Annalen, 1986 Let X be any algebraic variety over \({\mathbb{C}}\). Then there is in a natural way associated to X a complex analytic space \(X_{an}\). Also for every coherent algebraic sheaf F on X there is an associated coherent analytic sheaf \(F_{an}\) on \(X_{an}\), and one has comparison maps \(\alpha_ i: H^ i(X,F)\to H^ i(X_{an},F_{an})\) on cohomology.
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Oscillation theorems for second-order neutral functional dynamic equations on time scales
Electronic Journal of Differential Equations, 2011 In this article, we obtain several comparison theorems for the second-order neutral dynamic equation $$ Big(r(t)ig([x(t)+p(t)x(au(t))]^Deltaig)^gammaBig)^Delta +q_1(t)x^lambda(delta(t))+q_2(t)x^eta(eta(t))=0, $$ where $gamma,lambda, eta$ are ratios
Cunchen Gao +3 more
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Oscillation of solutions to second-order half-linear differential equations with neutral terms
Electronic Journal of Differential Equations, 2013 This article studies the oscillatory behavior of second-order half-linear differential equations with several neutral terms. Some criteria are presented that include those reported in [22].
Tongxing Li +2 more
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Representation Theorem for Generators of BSDEs Driven by G-Brownian Motion and Its Applications
Abstract and Applied Analysis, 2013 We obtain a representation theorem for the generators of BSDEs driven by G-Brownian motions and then we use the representation theorem to get a converse comparison theorem for G-BSDEs and some equivalent results for nonlinear expectations generated by G ...
Kun He, Mingshang Hu
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An Extension Theorem for Weighted Ricci Curvature on Finsler Manifolds
Cumhuriyet Science Journal, 2019 Let(M,F) be a forward complete and connected Finsler manifold of dimensional n≥2. In this study, we extend Wan’s extension theorem in Riemannian manifolds to Finsler manifolds by using the weighted Ricci curvatureRicNbounded below.
Yasemin Soylu
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AxiomsThis paper investigates the oscillatory behavior of solutions to fourth-order functional differential equations (FDEs) with multiple delays and a middle term.
Osama Moaaz +4 more
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A Comparison Theorem for Oscillation of the Even-Order Nonlinear Neutral Difference Equation
Abstract and Applied Analysis, 2014 A comparison theorem on oscillation behavior is firstly established for a class of even-order nonlinear neutral delay difference equations. By using the obtained comparison theorem, two oscillation criteria are derived for the class of even-order ...
Quanxin Zhang
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Convergence and stability of stochastic parabolic functional differential equations
Advances in Difference Equations, 2018 The main purpose of this paper is to investigate the convergence and stability of stochastic parabolic functional differential equations. Firstly, a comparison theorem in the context of Lyapunov-like function together with differential inequality is ...
Zhao Li, Shuyong Li
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Singular Sturm comparison theorems
Journal of Mathematical Analysis and Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aharonov, Dov, Elias, Uri
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