Results 221 to 230 of about 67,914 (266)
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A proof of Casselman’s comparison theorem
Representation Theory, 2021Let G G be a real linear reductive group and
Li, Ning, Liu, Gang, Yu, Jun
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Comparison theorems on boundedness
Funkcialaj Ekvacioj, 1988The infinite delay equations: \(x'(t)=F(t,x(s);\alpha\leq s\leq t)\), \(t\geq t_*\), \(-\infty \leq \alpha \leq t_*\) as well as the finite delay equations: \(x'(t)=f(t,x_*),\) \(t\geq t_*\) are considered. By using the comparison principle the author establishes several theorems to ensure the uniform boundedness and uniformly ultimate boundedness of ...
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A comparison theorem for stability investigations
IEEE Transactions on Automatic Control, 1972A simple comparison theorem is presented which, in essence, derives a bound on the solution of an integral equation. Several applications to stability theory are dicussed.
Bussmann, B., Christensen, G. S.
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On an Extension of the Sturm Comparison Theorem
SIAM Journal on Mathematical Analysis, 1981The main purpose of this paper is to extend the Sturm comparison theorem for second-order differential equations to the equation $Ly + p(t)y = 0$, where L is a disconjugate linear differential operator.of order n, $n \geqq 2$, and where $p(t)$ is a continuous function of constant sign.
Ahmad, Shair, Lazer, Alan C.
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Mathematical Notes, 1995
The author considers comparison theorems (scalar and multidimensional cases) for Carathéodory type differential inclusions. The conditions are expressed in terms of solution spaces.
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The author considers comparison theorems (scalar and multidimensional cases) for Carathéodory type differential inclusions. The conditions are expressed in terms of solution spaces.
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Comparison Theorems for Constrained Rods
SIAM Review, 1964they prove' that "the fastest oscillation possible for a solution of (1.4) is at least as fast as the fastest oscillation permitted by equation (1.3)". However, when this result is expressed in terms of zeros of solutions we no longer get the simple separation property characteristic of the second order case.
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1988
In this chapter we compare Riemannian foliations with transversally homogeneous foliations, where the model transverse structure is of the type of a compact symmetric space G/K. We state a comparison theorem [KRT 2] which is based on the results in Chapter 12.
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In this chapter we compare Riemannian foliations with transversally homogeneous foliations, where the model transverse structure is of the type of a compact symmetric space G/K. We state a comparison theorem [KRT 2] which is based on the results in Chapter 12.
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Two comparison theorems of bsdes
Journal of Applied Mathematics and Computing, 2007The present paper studies an extension of Peng's comparison theorem for backward stochastic differential equations [\textit{S. Peng}, Stochastics Stochastics Rep. 38, No. 2, 119--134 (1992; Zbl 0756.49015)] to backward equations of the following form: \[ dY_t=-f(t,Y_t,Z_t)dt+g(t,Y_t,Z_t)dW_t,\quad t\in[0,T],\;Y_T=\xi\in L^2({\mathcal F}_T^W), \] where \
Huang, Xiaoqin +2 more
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Comparison theorems for splittings of matrices
Numerische Mathematik, 2002Let \(A\in \mathbb{C}^{n\times n}\) and \(x,b\in \mathbb{C}^n\) with \(x\) unknown. In order to solve a linear system of the form \(Ax=b\) with iterative methods, the author splits the matrix \(A\) into \(A=M-N\) (or \(A=M_{k}-N_{k}\), \(k=1,2,\dots ,m\) ``parallel multisplitting method'') with \(M\) nonsingular (\(M_{k}\) nonsingular) and then uses ...
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