Results 61 to 70 of about 727,614 (177)
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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On area comparison and rigidity involving the scalar curvature [PDF]
In this thesis we study the effects of lower bounds for the curvature of a Riemannian manifold M on the geometry and topology of closed, minimal hypersurfaces.
Moraru, Vlad
core
, 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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Comparison theorems for second-order neutral differential equations of mixed type
Electronic Journal of Differential Equations, 2010 Three comparison theorems are established for the oscillation of the second-order neutral differential equations of mixed type $$ ig(r(t)[x(t)+p_1(t)x(t-sigma_1)+p_2(t)x(t+sigma_2)]'ig)' +q_1(t)x(t-sigma_3) +q_2(t)x(t+sigma_4)=0. $$ Our results are
Tongxing Li
doaj
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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TESTING AGGREGATION CONSISTENCY ACROSS GEOGRAPHY AND COMMODITIES [PDF]
Consistent aggregation of production data across commodities and states was tested using Lewbel's generalized composite commodity theorem (GCCT). This was the first empirical GCCT test for consistent geographic aggregation and was applied to two groups ...
Liu, Qinghua, Shumway, C. Richard
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Generalized nonlinear Picone's identity for the p-Laplacian and its applications
Electronic Journal of Differential Equations, 2016 In this article we derive a generalized version of nonlinear Picone's identity for the p-Laplacian. We use this identity to obtain a Hardy-type inequality and a Sturm comparison result.
Aydin Tiryaki
doaj
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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Comparison theorems for differential games. I
Journal of Differential Equations, 1972 The basic existence theory, of value and a saddle point, for (a) is given in [4] (see also [5]), and for (b) is given in [2, 31 (see also [S]). Our approach is to construct a family of games GA of fixed duration, with value VA, such that (i) the results of [6] can be applied to GA , and (ii) VA converges to the value V of the differential game under ...
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