Results 61 to 70 of about 726,333 (182)
Brace algebras and the cohomology comparison theorem
, 2003 The Gerstenhaber and Schack cohomology comparison theorem asserts that there is a cochain equivalence between the Hochschild complex of a certain algebra and the usual singular cochain complex of a space.
Patras, F.
core
Journal of Mathematical Analysis and Applications, 1985 The principal result in this note is the following: If \[ \int^{(b/2)+h}_{(b/2)-h}[p(x)-(\pi^ 2/b^ 2)]dx\geq 0 \] for each h ...
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, 2014 We establish new results of first-order necessary conditions of optimality for finite-dimensional problems with inequality constraints and for problems with equality and inequality constraints, in the form of John's theorem and in the form of Karush-Kuhn-
Blot, Joël
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A topological splitting theorem for weighted Alexandrov spaces
, 2009 Under an infinitesimal version of the Bishop-Gromov relative volume comparison condition for a measure on an Alexandrov space, we prove a topological splitting theorem of Cheeger-Gromoll type.
Kuwae, Kazuhiro, Shioya, Takashi
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Generalized Picone's identity and its applications
Electronic Journal of Differential Equations, 2013 In this article we give a generalized version of Picone's identity in a nonlinear setting for the p-Laplace operator. As applications we give a Sturmian Comparison principle and a Liouville type theorem.
Kaushik Bal
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An extended Halanay inequality of integral type on time scales
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper, we obtain a Halanay-type inequality of integral type on time scales which improves and extends some earlier results for both the continuous and discrete cases. Several illustrative examples are also given.
Boqun Ou, Baoguo Jia, Lynn Erbe
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Comparison and existence theorems for backwards stochastic DE's with discontinuous generators
Electronic Journal of Differential Equations, 2011 An existence result is proved for backwards stochastic differential equations (BSDEs) with a generator f(t,x,z) which is possibly discontinuous in the x variable.
Nikolaos Halidias, Peter E. Kloeden
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Permanence for a Discrete Model with Feedback Control and Delay
Discrete Dynamics in Nature and Society, 2008 The permanence of a single-species population discrete model with feedback control is considered. We found that if we use the method of comparison theorem, then the additional condition, to some extent, is necessary.
Yong-Hong Fan, Lin-Lin Wang
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On Heat Kernel Comparison Theorems
Journal of Functional Analysis, 1999 The authors develop some upper estimates for heat kernels and apply the estimates to obtain Sobolev inequalities. In particular the first estimate, that generalizes various recent similar results, is about a type of manifold in a rank one symmetric space that is of irreducible type.
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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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