共查询到20条相似文献,搜索用时 0 毫秒
1.
Liangping Jiang 《Journal of Mathematical Analysis and Applications》2005,301(2):378-383
The classical criterion of asymptotic stability of the zero solution of equations x′=f(t,x) is that there exists a positive definite function V which has infinitesimal upper bound such that is negative definite. In this paper we prove that if is bounded then the condition that is negative definite can be weakened and replaced by that and is negative definite. 相似文献
2.
F. Laudano 《International Journal of Mathematical Education in Science & Technology》2013,44(6):960-967
We propose a generalization of the classical Remainder Theorem for polynomials over commutative coefficient rings that allows calculating the remainder without using the long division method. As a consequence we obtain an extension of the classical Factor Theorem that provides a general divisibility criterion for polynomials. The arguments can be used in basic algebra courses and are suitable for building classroom/homework activities for college and high school students. 相似文献
3.
Changyu Xia 《Proceedings of the American Mathematical Society》1997,125(1):255-258
In this paper, we prove a sphere theorem for Riemannian manifolds with partially positive curvature which generalizes the classical sphere theorem.
4.
Jianwen Peng Heung Wing Joseph Lee Xinmin Yang 《Journal of Mathematical Analysis and Applications》2005,302(2):441-449
In this paper, the notion of affinelike set-valued maps is introduced and some properties of these maps are presented. Then a new Hahn-Banach extension theorem with a K-convex set-valued map dominated by an affinelike set-valued map is obtained. 相似文献
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6.
江嘉禾 《应用数学学报(英文版)》1996,12(3):308-317
AFURTHERGENERALIZATIONOFTHEKKMTHEOREM WITHAPPLICATIONSJIANGJIAHE(江嘉禾)(DepartmentofMathemotics,UniversityofElectronicSciencecu... 相似文献
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8.
Yukinobu Adachi 《Journal of Mathematical Analysis and Applications》2009,354(1):96-98
We show the little Picard theorem for a map of a quasicompact manifold to a relatively compact domain of Pn whose degeneracy locus of the Kobayashi pseudodistance is contained in some algebraic hypersurface. 相似文献
9.
Given a set of points in the complex plane, an incomplete polynomial is defined as the one which has these points as zeros
except one of them. The classical result known as Gauss-Lucas theorem on the location of zeros of polynomials and their derivatives
is extended to convex linear combinations of incomplete polynomials. An integral representation of convex linear combinations
of incomplete polynomials is also given. 相似文献
10.
In this note, we investigate some properties of local Kneser graphs defined in [János Körner, Concetta Pilotto, Gábor Simonyi, Local chromatic number and sperner capacity, J. Combin. Theory Ser. B 95 (1) (2005) 101-117]. In this regard, as a generalization of the Erdös-Ko-Rado theorem, we characterize the maximum independent sets of local Kneser graphs. Next, we provide an upper bound for their chromatic number. 相似文献
11.
Marius Radulescu Sorin Radulescu 《Journal of Mathematical Analysis and Applications》2011,382(2):559-564
We discuss the problem of global invertibility of nonlinear maps defined on the finite dimensional Euclidean space via differential tests. We provide a generalization of the Fujisawa-Kuh global inversion theorem and introduce a generalized ratio condition which detects when the pre-image of a certain class of linear manifolds is non-empty and connected. In particular, we provide conditions that also detect global injectivity. 相似文献
12.
In this paper, we obtain an asymptotic generalization of Turán's theorem. We prove that if all the non‐trivial eigenvalues of a d‐regular graph G on n vertices are sufficiently small, then the largest Kt‐free subgraph of G contains approximately (t ? 2)/(t ? 1)‐fraction of its edges. Turán's theorem corresponds to the case d = n ? 1. © 2005 Wiley Periodicals, Inc. J Graph Theory 相似文献
13.
David Opela 《Proceedings of the American Mathematical Society》2006,134(9):2703-2710
Andô's theorem states that any pair of commuting contractions on a Hilbert space can be dilated to a pair of commuting unitaries. Parrott presented an example showing that an analogous result does not hold for a triple of pairwise commuting contractions. We generalize both of these results as follows. Any -tuple of contractions that commute according to a graph without a cycle can be dilated to an -tuple of unitaries that commute according to that graph. Conversely, if the graph contains a cycle, we construct a counterexample.
14.
Tomonari Suzuki 《Journal of Mathematical Analysis and Applications》2008,340(1):752-755
We give an example which says that Mizoguchi-Takahashi's fixed point theorem for set-valued mappings is a real generalization of Nadler's. We also give a very simple proof of Mizoguchi-Takahashi's theorem. 相似文献
15.
Chuanxi Qian 《Journal of Mathematical Analysis and Applications》2003,284(1):191-205
Consider the third-order nonlinear differential equation
x?+ψ(x,x′)x″+f(x,x′)=p(t), 相似文献
16.
Stephan Klaus 《Proceedings of the American Mathematical Society》2002,130(5):1249-1256
We generalize the classical theorem of Serre on the non-triviality of infinitely many homotopy groups of -connected finite CW-complexes to CW-complexes where the cohomology groups either grow too fast or do not grow faster than a certain rate given by connectivity. For example, this result can be applied to iterated suspensions of finite Postnikov systems and certain spaces with finitely generated cohomology ring. In particular, we obtain an independent, short proof of a theorem of R. Levi on the non-triviality of -invariants associated to finite perfect groups. Another application concerns spaces where the cohomology grows like a polynomial algebra on generators in dimension , , for a fixed number . We also consider spectra where we prove a non-triviality result in the case of fast growing cohomology groups.
17.
B. Korenblum A. Mascuilli J. Panariello 《Proceedings of the American Mathematical Society》1998,126(7):2025-2032
Let be a Borel measure on and be its moments. T. Carleman found sharp conditions on the magnitude of for to be uniquely determined by its moments. We show that the same conditions ensure a stronger property: if are the moments of another measure, with then the measure is supported on the interval This result generalizes both the Carleman theorem and a theorem of J. Mikusi\'{n}ski. We also present an application of this result by establishing a discrete version of a Phragmén-Lindelöf theorem.
18.
The paper presents a generalization of a known density theorem of Arrow, Barankin, and Blackwell for properly efficient points defined as support points of sets with respect to monotonically increasing sublinear functions. This result is shown to hold for nonconvex sets of a partially ordered reflexive Banach space. 相似文献
19.
W. Kotarski 《Journal of Optimization Theory and Applications》1987,54(3):565-573
Combining the results of Walczak (Ref. 1) and Lasiecka (Refs. 2 and 3), we extend the well-known Dubovicki-Milutin theorem in two directions: (i) We allow for treatment of several equality constraints in optimization problems; and (ii) We assume less regularity of optimization problems by requiring the existence of external cones instead of tangent cones. An example of an optimization problem is also considered. 相似文献
20.
A complete characterization of the extremal subsets of Hilbert spaces, which is an infinite-dimensional generalization of the classical Jung theorem, is given. The behavior of the set of points near the Chebyshev sphere of such a subset with respect to the Kuratowski and Hausdorff measures of noncompactness is investigated. 相似文献